<SEC-DOCUMENT>0001193125-25-260346.txt : 20251031
<SEC-HEADER>0001193125-25-260346.hdr.sgml : 20251031
<ACCEPTANCE-DATETIME>20251031121636
ACCESSION NUMBER:		0001193125-25-260346
CONFORMED SUBMISSION TYPE:	424B2
PUBLIC DOCUMENT COUNT:		17
FILED AS OF DATE:		20251031
DATE AS OF CHANGE:		20251031

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GOLDMAN SACHS GROUP INC
		CENTRAL INDEX KEY:			0000886982
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				134019460
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538
		FILM NUMBER:		251439317

	BUSINESS ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	GOLDMAN SACHS GROUP INC/
		DATE OF NAME CHANGE:	20010104

FILER:

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GS Finance Corp.
		CENTRAL INDEX KEY:			0001419828
		STANDARD INDUSTRIAL CLASSIFICATION:	SECURITY BROKERS, DEALERS & FLOTATION COMPANIES [6211]
		ORGANIZATION NAME:           	02 Finance
		EIN:				260785112
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1130

	FILING VALUES:
		FORM TYPE:		424B2
		SEC ACT:		1933 Act
		SEC FILE NUMBER:	333-284538-03
		FILM NUMBER:		251439318

	BUSINESS ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
		BUSINESS PHONE:		212-902-1000

	MAIL ADDRESS:	
		STREET 1:		C/O THE GOLDMAN SACHS GROUP, INC.
		STREET 2:		200 WEST STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10282
</SEC-HEADER>
<DOCUMENT>
<TYPE>424B2
<SEQUENCE>1
<FILENAME>gs-20251031.htm
<DESCRIPTION>424B2
<TEXT>
<!-- DFIN ActiveDisclosure (SM) HTML Document - http://www.dfinsolutions.com/ --><!-- Creation Date :2025-10-31T11:40:17.6700+00:00 --><!-- Copyright (c) 2025 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <div style="padding-top:0.1in;z-index:2;min-height:0.38in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Filed pursuant to Rule 424(b)(2) / Registration Statement No. 333-284538</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="margin-left:0.84%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><img src="img42159359_0.jpg" alt="img42159359_0.jpg" style="width:57px;height:54px;"></p></td>
     <td style="padding-top:0in;text-indent:3.6pt;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="margin-left:0.533%;text-indent:-0.134%;padding-left:0.133%;font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p><p style="margin-left:0.533%;text-indent:-0.134%;padding-left:0.133%;font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$5,333,000 Barrier Market-Linked Notes (With Daily Barrier Observation) Linked to the SPDR</font><font style="color:#000000;top:-5.159pt;white-space:pre-wrap;font-size:7.37pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Gold Trust ETF due 2027</font></p><p style="margin-left:0.533%;text-indent:-0.134%;padding-left:0.133%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">guaranteed by The Goldman Sachs Group, Inc.</font></p></td>
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     <td colspan="2" style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Investment Description</font></p></td>
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   </table><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The amount you will be paid on your notes is based on the performance of the SPDR&#174; Gold Trust (ETF) as measured from and including the trade date to and including the determination date, unless a barrier event has occurred. The notes are unsecured notes issued by GS Finance Corp. and guaranteed by The Goldman Sachs Group, Inc.</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A barrier event will occur if, on any trading day during the observation period (the period from but excluding the trade date to and including the determination date), the closing price of the ETF increases above the upper barrier.</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has occurred</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">, at maturity, for each $1,000 face amount, you will receive the face amount of your notes </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> a return equal to the contingent return. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A barrier event may occur at any point during the observation period; however, you will not receive the payment associated with a barrier event until maturity and you will receive such amount regardless of the final ETF price.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> and the final ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">greater than</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> the initial ETF price, at maturity, for each $1,000 face amount, you will receive the face amount of your notes </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> a return equal to the ETF return (the percentage increase or decrease in the final ETF price from the initial ETF price). </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">As a result of the upper barrier, the maximum return on your notes will be 36.50%.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">and the final ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">less than</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> the initial ETF price</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">, you will only receive the face amount of your notes.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A purchaser of these notes in the secondary market should determine if a barrier event has already occurred.  The occurrence of a barrier event could significantly affect both the secondary market trading price of these notes or the amount that a holder of the notes will receive at maturity.  See page PS-</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">5</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Investing in the notes involves significant risks. The notes do not pay interest and your return on the notes is limited to 8.00% if a barrier event occurs during the observation period and, if a barrier event does not occur during the observation period, to 36.50% due to the inclusion of the upper barrier. The repayment of principal applies only if the notes are held to maturity. Any payment on the notes, including any repayment of principal, is subject to the creditworthiness of GS Finance Corp. and The Goldman Sachs Group, Inc.</font></p>
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     <td colspan="4" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">Features</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="3" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Key Dates</font></p></td>
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     <td colspan="4" rowspan="6" style="padding-top:0in;text-indent:9.35pt;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="text-indent:-1.764%;padding-left:1.733%;font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:'Lucida Sans',sans-serif;position:relative;font-kerning:none;min-width:fit-content;">O</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;Contingent Return at Maturity If a Barrier Event Occurs &#x2013;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;If a barrier event has occurred during the observation period, at maturity you will receive the face amount of your notes </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;a return equal to the contingent return for each $1,000 face amount of your notes, </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">regardless of the final ETF price</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.764%;padding-left:1.733%;font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:'Lucida Sans',sans-serif;position:relative;font-kerning:none;min-width:fit-content;">O</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;Exposure to Positive ETF Return Up to the Maximum Return If a Barrier Event Does Not Occur &#x2013; </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;occurred during the observation period and the final ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">greater than</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;the initial ETF price, at maturity you will receive the face amount of your notes </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;a return equal to the ETF return for each $1,000 face amount of your notes. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Because of the upper barrier, your return will be limited to the maximum return of 36.50%.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.695%;padding-left:1.667%;font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;top:-4.221pt;white-space:pre-wrap;font-size:6.03pt;font-family:'Lucida Sans',sans-serif;position:relative;font-kerning:none;min-width:fit-content;">O</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;Repayment of Principal at Maturity &#x2013; </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;occurred during the observation period and the final ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;or </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">less than</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;the initial ETF price, you will receive the face amount of your notes and you will not receive a positive return on the notes. Any payment on the notes, including any repayment of principal, is subject to the creditworthiness of GS Finance Corp. and The Goldman Sachs Group, Inc.</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="2" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Trade date</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 29, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="2" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Original issue date</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 31, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="2" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Determination date*</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 29, 2027</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="2" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Stated maturity date*</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">November 3, 2027</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="3" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">*Subject to postponement.</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td colspan="3" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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     <td colspan="8" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Notice to investors: the notes are a riskier investment than ordinary debt securities. You should not purchase the notes if you do not understand or are not comfortable with the significant risks involved in investing in the notes.</font></p><p style="font-size:9pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You should read the disclosure herein to better understand the terms and risks of your investment, including the credit risk of GS Finance Corp. and The Goldman Sachs Group, Inc. See page PS-</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">12</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">.</font></p></td>
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     <td colspan="8" style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Key Terms</font></p></td>
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     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;border-left:1pt solid #000000;padding-right:0in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">ETF</font></p></td>
     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Bloomberg Symbol</font></p></td>
     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Initial ETF price</font></p></td>
     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Upper Barrier</font><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td colspan="2" style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Contingent Return</font></p></td>
     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">CUSIP</font></p></td>
     <td style="border-top:2.25pt solid #000000;padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:2.25pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">ISIN</font></p></td>
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     <td style="padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">SPDR&#174; Gold Trust</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">GLD UP Equity</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$363.00</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:top;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial ETF price </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;36.50% of the initial ETF price</font></p></td>
     <td colspan="2" style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">8.00%</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">40058QNX3</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">US40058QNX33</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">The estimated value of your notes at the time the terms of your notes are set on the trade date is equal to approximately $973 per $1,000 face amount. For a discussion of the estimated value and the price at which Goldman Sachs &amp; Co. LLC would initially buy or sell your notes, if it makes a market in the notes, see page PS-2.</font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;"> </font></p>
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     <td style="width:2.538888888888889in;box-sizing:content-box;"></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Original issue price</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Underwriting discount</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Net proceeds to the issuer</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.00% of the face amount</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">1.50% of the face amount</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:9pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">98.50% of the face amount</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Neither the Securities and Exchange Commission nor any other regulatory body has approved or disapproved of these securities or passed upon the accuracy or adequacy of this pricing supplement. Any representation to the contrary is a criminal offense.  The notes are not bank deposits and are not insured by the Federal Deposit Insurance Corporation or any other governmental agency, nor are they obligations of, or guaranteed by, a bank.</font></p>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;margin-right:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;text-align:center;"><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;margin-right:3.333%;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">UBS Financial Services Inc.</font></p><p style="font-size:11pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;margin-right:3.333%;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Selling Agent</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-size:9.5pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Pricing Supplement No. 20,461 dated October 29, 2025</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.1in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The issue price, underwriting discount and net proceeds listed above relate to the notes we sell initially.  We may decide to sell additional notes after the date of this pricing supplement , at issue prices and with underwriting discounts and net proceeds that differ from the amounts set forth above. The return (whether positive or negative) on your investment in notes will depend in part on the issue price you pay for such notes.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">GS Finance Corp. may use this prospectus in the initial sale of the notes. In addition, Goldman Sachs &amp; Co. LLC or any other affiliate of GS Finance Corp. may use this prospectus in a market-making transaction in a note after its initial sale. Unless GS Finance Corp. or its agent informs the purchaser otherwise in the confirmation of sale, this prospectus is being used in a market-making transaction.</font></p>
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     <td style="border-top:0.5pt solid;padding-top:0in;border-right:0.5pt solid;border-left:0.5pt solid;padding-left:0in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Estimated Value of Your Notes</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">The estimated value of your notes at the time the terms of your notes are set on the trade date (as determined by reference to pricing models used by Goldman Sachs &amp; Co. LLC (GS&amp;Co.) and taking into account our credit spreads) is equal to approximately $973 per $1,000 face amount), which is less than the original issue price.  The value of your notes at any time will reflect many factors and cannot be predicted; however, the price (not including GS&amp;Co.&#x2019;s customary bid and ask spreads) at which GS&amp;Co. would initially buy or sell notes (if it makes a market, which it is not obligated to do) and the value that GS&amp;Co. will initially use for account statements and otherwise is equal to approximately the estimated value of your notes at the time of pricing, plus an additional amount (initially equal to $22 per $1,000 face amount).</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">Prior to January 29, 2026, the price (not including GS&amp;Co.&#x2019;s customary bid and ask spreads) at which GS&amp;Co. would buy or sell your notes (if it makes a market, which it is not obligated to do) will equal approximately the sum of (a) the then-current estimated value of your notes (as determined by reference to GS&amp;Co.&#x2019;s pricing models) plus (b) any remaining additional amount (the additional amount will decline to zero on a straight-line basis over the period from the time of pricing through January 28, 2026). On and after January 29, 2026, the price (not including GS&amp;Co.&#x2019;s customary bid and ask spreads) at which GS&amp;Co. would buy or sell your notes (if it makes a market) will equal approximately the then-current estimated value of your notes determined by reference to such pricing models.</font></p></td>
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     <td style="border-top:0.5pt solid;padding-top:0in;border-right:0.5pt solid;border-left:0.5pt solid;padding-left:0in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">About Your Notes</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes are part of the Medium-Term Notes, Series F program of GS Finance Corp., and are fully and unconditionally guaranteed by The Goldman Sachs Group, Inc. This prospectus includes this pricing supplement and the accompanying documents listed below. This pricing supplement constitutes a supplement to the documents listed below, does not set forth all of the terms of your notes and therefore should be read in conjunction with such documents:</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">    </font><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525243221/gts_no._17744_2025_shelf.htm"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">General terms supplement no. 17,744 dated October 20, 2025</font></a></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">    </font><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027380/d891153d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Prospectus supplement dated February 14, 2025</font></a></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">    </font><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027379/d860775d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Prospectus dated February 14, 2025</font></a></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The information in this pricing supplement supersedes any conflicting information in the documents listed above. In addition, some of the terms or features described in the listed documents may not apply to your notes.</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We refer to the notes we are offering by this pricing supplement as the &#x201c;offered notes&#x201d; or the &#x201c;notes&#x201d;. Each of the offered notes has the terms described below. Please note that in this pricing supplement, references to &#x201c;GS Finance Corp.&#x201d;, &#x201c;we&#x201d;, &#x201c;our&#x201d; and &#x201c;us&#x201d; mean only GS Finance Corp. and do not include its subsidiaries or affiliates, references to &#x201c;The Goldman Sachs Group, Inc.&#x201d;, our parent company, mean only The Goldman Sachs Group, Inc. and do not include its subsidiaries or affiliates and references to &#x201c;Goldman Sachs&#x201d; mean The Goldman Sachs Group, Inc. together with its consolidated subsidiaries and affiliates, including us.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Please note that, for purposes of this pricing supplement, references in the general terms supplement no. 17,744 to &#x201c;underlier(s)&#x201d;, &#x201c;indices&#x201d; and &#x201c;exchange-traded fund(s)&#x201d; shall be deemed to refer to &#x201c;underlying(s)&#x201d;, &#x201c;underlying index(es)&#x201d; and &#x201c;underlying ETF(s)&#x201d;, respectively.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes will be issued under the senior debt indenture, dated as of October 10, 2008, as supplemented by the First Supplemental Indenture, dated as of February 20, 2015, each among us, as issuer, The Goldman Sachs Group, Inc., as guarantor, and The Bank of New York Mellon, as trustee. This indenture, as so supplemented and as further supplemented thereafter, is referred to as the &#x201c;GSFC 2008 indenture&#x201d; in the accompanying prospectus supplement.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes will be issued in book-entry form and represented by master note no. 3, dated March 22, 2021.</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Investor Suitability</font><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes may be suitable for you if, among other considerations:</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You fully understand the risks inherent in an investment in the notes, including the risk of receiving a return that may be equal to, or substantially less than, the contingent return.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You can tolerate the possibility of receiving only the face amount of your notes at maturity.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You can tolerate fluctuations in the market price of the notes prior to maturity that may be similar to or exceed fluctuations in the price of the ETF.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You understand and accept that your return will be limited to the contingent return if a barrier event occurs.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.64%;padding-left:1.573%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You believe that the closing price of the ETF will not be greater than the upper barrier on any trading day during the observation period.</font></p><p style="text-indent:-1.64%;padding-left:1.573%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You understand and accept that your potential return is limited by the upper barrier if a barrier event does not occur during the observation period and the final ETF price is greater than the initial ETF price.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are willing to invest in the notes based on the contingent return and the upper barrier indicated on the cover hereof.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are willing to forgo dividends paid on the ETF.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are able and willing to hold the notes to maturity.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You accept that there may be little or no secondary market for the notes and that any secondary market will depend in large part on the price, if any, at which GS&amp;Co., is willing to purchase the notes.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;You understand and accept the risks associated with the ETF.</font></p><p style="text-indent:-1.739%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:2.5%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;You are willing to assume the credit risks of GS Finance Corp. and The Goldman Sachs Group, Inc. for all payments under the notes, and understand that if GS Finance Corp. and The Goldman Sachs Group, Inc. default on their obligations, you may not receive any amounts due on the notes.</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes may not be suitable for you if, among other considerations:</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You do not fully understand the risks inherent in an investment in the notes, including the risk of receiving a return that may be equal to, or substantially less than, the contingent return.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You cannot tolerate the possibility of receiving only the face amount of your notes</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">at maturity.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You cannot tolerate fluctuations in the market price of the notes prior to maturity that may be similar to or exceed fluctuations in the price of the ETF.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You do not fully understand or are unwilling to accept that your return will be limited to the contingent return if a barrier event occurs.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You believe that the closing price of the ETF on any trading day during the observation period will increase during the term of the notes to a price above the upper barrier.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You do not fully understand or are unwilling to accept that your potential return is limited by the upper barrier if a barrier event does not occur during the observation period and the final ETF price is greater than the initial ETF price.</font></p><p style="text-indent:-1.529%;padding-left:1.493%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You seek an investment that has unlimited return potential without a cap on appreciation.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are unwilling to invest in the notes based on the contingent return</font><font style="color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">or the upper barrier indicated on the cover hereof.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You prefer the lower risk, and therefore accept the potentially lower returns, of fixed income investments with comparable maturities and credit ratings.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You prefer to receive the dividends paid on the ETF.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are unable or unwilling to hold the notes to maturity, or you seek an investment for which there will be an active secondary market.</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You do not understand or accept the risks associated with the ETF.</font></p><p style="text-indent:-1.709%;padding-left:1.667%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;margin-right:0.833%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;You are not willing to assume the credit risks of GS Finance Corp. and The Goldman Sachs Group, Inc. for all payments under the notes, including any repayment of principal.</font></p></td>
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   <table style="margin-left:auto;border-spacing:0;table-layout:fixed;width:100.0%;border-collapse:separate;margin-right:auto;">
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     <td style="width:7.620138888888889in;box-sizing:content-box;"></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The suitability considerations identified above are not exhaustive. Whether or not the notes are an appropriate investment for you will depend on your individual circumstances, and you should reach an investment decision only after you and your investment, legal, tax, accounting and other advisors have carefully considered the suitability of an investment in the notes in light of your particular circumstances. You should also review carefully the &#x201c;Additional Risk Factors Specific to Your Notes&#x201d; section of this pricing supplement. For more information on the ETF, please see the section titled &#x201c;The Underlying ETF&#x201d; below.</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">3</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:7.620138888888889in;box-sizing:content-box;"></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="considerationsforsecondarymarket"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">CONSIDERATIONS FOR SECONDARY MARKET PURCHASERS</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A purchaser of these notes in the secondary market should determine if a barrier event has already occurred.  The occurrence of a barrier event could affect both the secondary market trading price of these notes after a secondary market purchase or the amount a secondary market purchaser will receive at maturity.  In order to determine if a barrier event has occurred, you should determine if, on any date from the day after the trade date to the date of your purchase, the closing price of the underlying ETF was greater than the upper barrier. Certain financial websites make ETF prices publicly available, which can be helpful when determining whether a barrier event may have occurred.  If you would like assistance in determining whether a barrier event has occurred, please call GS&amp;Co. at (212) 902-0300.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">4</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td colspan="2" style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Key Terms (continued)</font></p></td>
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     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Company (Issuer):</font></p></td>
     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Guarantor:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Goldman Sachs Group, Inc.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Underlying ETF:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">SPDR&#174; Gold Trust</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Face Amount:</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$5,333,000 in the aggregate on the original issue date; the aggregate face amount may be increased if the company, at its sole option, decides to sell an additional amount on a date subsequent to the trade date.</font></p></td>
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    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;">
     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Authorized denominations:</font></p></td>
     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000 or any integral multiple of $1,000 in excess thereof</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Principal amount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">On the stated maturity date, the company will pay, for each $1,000 of the outstanding face amount, an amount in cash equal to the cash settlement amount.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Cash settlement amount:</font></p></td>
     <td style="padding-top:0in;text-indent:12.25pt;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="text-indent:-2.319%;padding-left:2.267%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;&#160;if a barrier event </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">has</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;occurred, the </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">sum </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of (i) $1,000 </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(ii) the </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">product </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of (a) $1,000 </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">times </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(b) the contingent return; or</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="text-indent:-2.319%;padding-left:2.267%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:3pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;&#160;&#160;if a barrier event has </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;occurred, either:</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><div class="item-list-element-wrapper" style="margin-left:3.333%;text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">o</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">if the final underlying ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">greater than </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial underlying ETF price, the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">sum </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of (i) $1,000 </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(ii) the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">product </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of (a) $1,000 </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">times </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(b)</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the underlying ETF return. </font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;text-indent:0;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:3pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;text-indent:0;display:inline-flex;justify-content:flex-start;">o</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">if the final underlying ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">equal to </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">less than </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial underlying ETF price, $1,000. </font></div></div></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Trade date:</font></p></td>
     <td style="padding-top:0in;text-indent:12pt;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="text-indent:-2.277%;padding-left:2.227%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 29, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Original issue date (settlement date):</font></p></td>
     <td style="padding-top:0in;text-indent:12pt;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="text-indent:-2.277%;padding-left:2.227%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 31, 2025</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Initial underlying ETF price:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$363.00, which is the closing price of the underlying ETF on the trade date.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Final underlying ETF price:</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the closing price of the underlying ETF on the determination date</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Underlying ETF return:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">quotient</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;of (i) the final underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">minus</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;the initial underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">divided by</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;(ii) the initial underlying ETF price, expressed as a percentage</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Contingent return:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">8.00%</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Observation period:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the period from but excluding the trade date to and including the determination date, excluding any date or dates on which the calculation agent determines that a market disruption event occurs or is continuing or that the calculation agent determines is not a trading day. Notwithstanding the immediately preceding sentence, if the calculation agent determines that a market disruption event occurs or is continuing on the last day of the observation period (i.e., the determination date) or that day is not otherwise a trading day, the determination date, and therefore the last day for the observation period, will be postponed as described under &#x201c;&#x2014; Determination Date&#x201d; below</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="barriernote"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Barrier event</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">on any trading day during the observation period, the closing price of the underlying ETF is above the upper barrier</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Upper barrier:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial underlying ETF price plus 36.50% of the initial underlying ETF price (rounded to the nearest one-hundredth)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Determination date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 29, 2027, subject to adjustment as described in the accompanying general terms supplement</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Stated maturity date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">November 3, 2027, subject to adjustment as described in the accompanying general terms supplement</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Discontinuance or modification of the underlying ETF:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If the underlying ETF is delisted from the exchange on which the underlying ETF has its primary listing and the underlying ETF investment advisor or anyone else publishes a substitute underlying ETF that the calculation agent determines is comparable to the underlying ETF and approves as a successor underlying ETF, or if the calculation agent designates a substitute underlying ETF, then the calculation agent will determine the amount payable on the stated maturity date by reference to such successor underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If the calculation agent determines that the underlying ETF is delisted or withdrawn from the exchange on which the underlying ETF has its primary listing and there is no successor underlying ETF, the calculation agent will determine the amount payable on the stated maturity date by a computation methodology that</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="margin-top:0;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="border-top:0.5pt solid;padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the calculation agent determines will as closely as reasonably possible replicate the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If the calculation agent determines that the underlying ETF or the method of calculating the underlying ETF is changed at any time in any respect &#x2014; including any split or reverse split of the underlying ETF, a material change in the investment objective of the underlying ETF and any addition, deletion or substitution and any reweighting or rebalancing of the underlying ETF and whether the change is made by the underlying ETF investment advisor under its existing policies or following a modification of those policies, is due to the publication of a successor underlying ETF or is due to any other reason -then the calculation agent will be permitted (but not required) to make such adjustments in the underlying ETF or the method of its calculation as it believes are appropriate to ensure that the prices of the underlying ETF used to determine the amount payable on the stated maturity date, is equitable.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">All determinations and adjustments to be made by the calculation agent with respect to the underlying ETF may be made by the calculation agent in its sole discretion. The calculation agent is not obligated to make any such adjustments.</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Calculation agent:</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC (&#x201c;GS&amp;Co.&#x201d;)</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">6</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0in;padding-left:0.1in;vertical-align:middle;padding-bottom:0in;padding-right:0.08in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="investment_timeline"><font style="text-transform:uppercase;color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Investment Timeline With Respect to The Notes Offered Hereby</font></p></td>
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     <td style="background-color:#4d92b4;padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Trade Date</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;"><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0.042in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The initial underlying ETF price and the final terms of the notes are set</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td style="background-color:#4d92b4;padding-top:0in;text-indent:9pt;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="margin-left:1.667%;text-indent:0;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;margin-right:1.694%;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Each Trading Day During the Observation Period</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The closing price of the underlying ETF is observed</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42159359_2.jpg" alt="img42159359_2.jpg" style="width:33px;height:41px;"></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:8pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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     <td style="background-color:#4d92b4;padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Maturity Date</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The final underlying ETF price is observed on the determination date and the underlying ETF return is calculated.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has occurred</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;during the observation period, we will pay you on the stated maturity date an amount in cash for each $1,000 face amount of your notes equal to:</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000 + ($1,000 &times; Contingent Return)</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;during the observation period and the final underlying ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">greater than </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial underlying ETF price, we will pay you on the stated maturity date an amount in cash for each $1,000 face amount of your notes equal to:</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000 + ($1,000 &times; the Underlying ETF Return)</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;during the observation period and the final underlying ETF price is </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">equal to </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">or </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">less than </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the initial underlying ETF price, we will pay you on the stated maturity date an amount in cash for each $1,000 face amount of your notes equal to:</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000</font></p></td>
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   </table><p style="font-size:10pt;margin-top:12pt;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">INVESTING IN THE NOTES INVOLVES SIGNIFICANT RISKS. ANY PAYMENT ON THE NOTES IS SUBJECT TO THE CREDITWORTHINESS OF GS FINANCE CORP. AND THE GOLDMAN SACHS GROUP, INC. IF GS FINANCE CORP. AND THE GOLDMAN SACHS GROUP, INC. WERE TO DEFAULT ON THEIR PAYMENT OBLIGATIONS, YOU MAY NOT RECEIVE ANY AMOUNTS OWED TO YOU UNDER THE NOTES AND YOU COULD LOSE YOUR ENTIRE INVESTMENT.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">7</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">HYPOTHETICAL EXAMPLES</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(Hypothetical examples use hypothetical terms only. Actual terms will vary.)</font></p></td>
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     <td style="padding-top:0in;border-right:0.5pt solid;border-left:0.5pt solid;padding-left:0in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">The following examples illustrate the hypothetical payments at maturity under different hypothetical scenarios for a $1,000 note linked to the underlying ETF based on the assumptions set forth in the table below. The actual terms for the offering of notes are specified above.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The following examples are provided for purposes of illustration only.  They should not be taken as an indication or prediction of future investment results and are intended merely to illustrate the impact that various hypothetical underlying ETF prices during the observation period, including on the determination date could have on the cash settlement amount at maturity assuming all other variables remain constant.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The examples below are based on a range of underlying ETF prices that are entirely hypothetical; no one can predict what the price of the underlying ETF will be on any day during the observation period, and no one can predict what the final underlying ETF price will be on the determination date. The underlying ETF has been highly volatile in the past &#x2014; meaning that the prices of the underlying ETF have changed substantially in relatively short periods &#x2014; and its performance cannot be predicted for any future period.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The information in the following examples reflects hypothetical rates of return on the offered notes assuming that they are purchased on the original issue date at the face amount and held to the stated maturity date.  If you sell your notes in a secondary market prior to the stated maturity date, your return will depend upon the market value of your notes at the time of sale, which may be affected by a number of factors that are not reflected in the examples below such as interest rates, the volatility of the underlying ETF, the creditworthiness of GS Finance Corp., as issuer, and the creditworthiness of The Goldman Sachs Group, Inc., as guarantor.  In addition, the estimated value of your notes at the time the terms of your notes are set on the trade date (as determined by reference to pricing models used by GS&amp;Co.) is less than the original issue price of your notes.  For more information on the estimated value of your notes, see &#x201c;Additional Risk Factors Specific to Your Notes &#x2014; The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date (as Determined By Reference to Pricing Models Used By GS&amp;Co.) Is Less Than the Original Issue Price Of Your Notes&#x201d; on page PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">12</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> of this pricing supplement.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p>
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     <td colspan="2" style="border-top:0.5pt solid;padding-top:0in;border-right:0.5pt solid;border-left:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Key Terms and Assumptions</font></p></td>
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     <td style="padding-top:0in;border-left:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Face amount</font></p></td>
     <td style="padding-top:0in;border-right:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000</font></p></td>
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     <td style="padding-top:0in;border-left:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Contingent return</font></p></td>
     <td style="padding-top:0in;border-right:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">8.00%</font></p></td>
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     <td style="padding-top:0in;border-left:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Upper barrier</font></p></td>
     <td style="padding-top:0in;border-right:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The initial underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;36.50% of the initial underlying ETF price (rounded to the nearest one-hundredth)</font></p></td>
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     <td colspan="2" style="border-top:0.75pt solid;padding-top:0in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Neither a market disruption event nor a non-trading day occurs on any day during the observation period, including on the originally scheduled determination date</font></p></td>
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     <td colspan="2" style="padding-top:0in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">No change in or affecting the underlying ETF or the policies of the underlying ETF&#x2019;s investment advisor</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
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     <td colspan="2" style="padding-top:0in;border-right:0.5pt solid #000000;border-left:0.5pt solid #000000;padding-left:0.075in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Notes purchased on original issue date at the face amount and held to the stated maturity date</font></p></td>
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   </table><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">For these reasons, the actual performance of the underlying ETF over the life of your notes, as well as the amount payable at maturity, may bear little relation to the hypothetical examples shown below or to the historical ETF prices shown elsewhere in this pricing supplement.  For information about the underlying ETF prices during recent periods, see &#x201c;The Underlying ETF &#x2014; Historical Closing Prices of the Underlying ETF&#x201d; on page PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">22</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">. Before investing in the notes, you should consult publicly available information to determine the underlying ETF prices between the date of this pricing supplement  and the date of your purchase of the notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Also, the hypothetical examples shown below do not take into account the effects of applicable taxes.  Because of the U.S. tax treatment applicable to your notes, tax liabilities could affect the after-tax rate of return on your notes to a comparatively greater extent than the after-tax return on the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The prices in the left column of the table below represent hypothetical final underlying ETF prices and are expressed as percentages of the initial underlying ETF price.  The amounts in the middle column represent the hypothetical cash settlement amounts, based on the corresponding hypothetical final underlying ETF price, assuming that </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a barrier event does not occur</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> (i.e., the closing price of the underlying ETF has not increased above the upper barrier on any trading day during the observation period), and are expressed as percentages of the face amount of a note (rounded to the nearest one-thousandth of a percent). The amounts in the right column represent the hypothetical cash settlement amounts, based on the corresponding hypothetical final underlying ETF price, assuming that </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a barrier event occurs</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> (i.e., the closing price of the underlying ETF has</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">8</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <hr style="margin-inline-start:auto;margin-inline-end:auto;page-break-after:always;">
  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">increased above the upper barrier on one or more trading days during the observation period), and are expressed as percentages of the face amount of a note (rounded to the nearest one-thousandth of a percent). Thus, a hypothetical cash settlement amount of 100.000% means that the value of the cash payment that we would deliver for each $1,000 of the outstanding face amount of the offered notes on the stated maturity date would equal 100.000% of the face amount of a note, based on the corresponding hypothetical final underlying ETF price and the assumptions noted above.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-size:8pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p>
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     <td style="width:3.276388888888889in;box-sizing:content-box;"></td>
     <td style="width:1.9812500000000002in;box-sizing:content-box;"></td>
     <td style="width:2.3625in;box-sizing:content-box;"></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Hypothetical Final Underlying ETF Price</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(as Percentage of Initial Underlying ETF</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Price)</font></p></td>
     <td colspan="2" style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Hypothetical Cash Settlement Amount</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">(as Percentage of Face Amount)</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:bottom;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Barrier Event Has Not</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Occurred</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:middle;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Barrier Event Has</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Occurred</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">200.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">N/A</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
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    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">175.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">N/A</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
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     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">150.000%</font><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">N/A</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
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    <tr style="height:10pt;background-color:#bfbfbf;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">136.500%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">136.500%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">130.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">130.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#ffffff;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">120.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">120.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#ffffff;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">110.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">110.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#bfbfbf;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#ffffff;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">104.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">104.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#ffffff;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">102.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">102.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#bfbfbf;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">99.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">97.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">95.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">92.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">90.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">88.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">86.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">75.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">50.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:10pt;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">25.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;background-color:#c0c0c0;white-space:pre-wrap;word-break:break-word;text-align:left;">
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">0.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.075in;vertical-align:top;padding-bottom:0in;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">108.000%</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If, for example, </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a barrier event has occurred</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> and the final underlying ETF price were determined to be 200.000% of the initial underlying ETF price, the cash settlement amount that we would deliver on your notes at maturity would be 108.000% of the face amount of your notes, as shown in the table above. Additionally, if the final underlying ETF price were determined to be 50.000% of the initial underlying ETF price, the cash settlement amount that we would deliver on your notes at maturity would be 108.000%</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of the face amount of your notes, as shown in the table above.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;" id="t3"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If, for example, </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a barrier event has not occurred </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">and the final underlying ETF price were determined to be 110.000% of the initial underlying ETF price, the underlying ETF return would be 10.000% and the cash settlement amount that we would deliver on your notes at maturity would be 110.000% of the face amount of your notes, as shown in the table above. </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">However, you will benefit from the underlying ETF return only if a barrier event has </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> occurred. Because a barrier event will occur if, on any trading day during the observation period (</font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">including the determination date</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">), the closing price of the underlying ETF is above the upper barrier (the initial underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> 36.50% of the initial underlying ETF price, rounded to the nearest one-hundredth), the cash settlement amount that we will deliver at maturity if a barrier event has not occurred will be limited to 136.500% (representing a return of 36.500%) of the face amount.  As a result, you would not benefit from a final underlying ETF price on the determination date (or a closing price of the underlying ETF on any other trading day during the observation period) that is above the upper barrier. In fact, a final underlying ETF price on the determination date (or a closing price of the underlying ETF on any other trading day during the observation period) that is above the upper barrier will cause the cash settlement amount that we will deliver at maturity to be limited to 108.000% (representing a contingent return of 8.000%) of the $1,000 face amount.  Further, </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">if a barrier event has not occurred</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> and the final underlying ETF price is equal to or less than the initial underlying ETF price, the cash settlement amount that we will deliver at maturity will be limited to 100.000% of the face amount of your notes, as shown in the table above.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">9</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The following chart also shows a graphical illustration of the hypothetical cash settlement amounts (expressed as a percentage of the face amount of your notes) that we would pay on your notes on the stated maturity date, if the final underlying ETF price were any of the hypothetical prices shown on the horizontal axis. The chart shows that, if a barrier event occurs at any time during the observation period, any hypothetical final underlying ETF price would result in a hypothetical payment amount of 108.000% of the face amount of the note (the horizontal line that crosses the 108.000% marker on the vertical axis). The chart also shows that, if a barrier event does not occur at any time during the observation period, any hypothetical final underlying ETF price would result in a hypothetical payment amount that is greater than or equal to 100.000%, but less than or equal to 136.500%, of the face amount of the note (the section on or above the 100.000% marker on the vertical axis but on or below the 136.500% marker on the vertical axis).</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;"><img src="img42159359_3.jpg" alt="img42159359_3.jpg" style="width:731px;height:531px;"></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">10</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The cash settlement amounts shown above are entirely hypothetical; they are based on hypothetical market prices for the underlying ETF that may not be achieved on the determination date and on assumptions that may prove to be erroneous.  The actual market value of your notes on the stated maturity date or at any other time, including any time you may wish to sell your notes, may bear little relation to the hypothetical cash settlement amounts shown above, and these amounts should not be viewed as an indication of the financial return on an investment in any offered notes.  The hypothetical cash settlement amounts on notes held to the stated maturity date in the examples above assume you purchased your notes at their face amount and have not been adjusted to reflect the actual issue price you pay for your notes. The return on your investment (whether positive or negative) in your notes will be affected by the amount you pay for your notes. If you purchase your notes for a price other than the face amount, the return on your investment will differ from, and may be significantly lower than, the hypothetical returns suggested by the above examples. Please read &#x201c;Additional Risk Factors Specific to Your Notes &#x2014; The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors&#x201d; on page PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">15</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Payments on the notes are economically equivalent to the amounts that would be paid on a combination of other instruments. For example, payments on the notes are economically equivalent to a bond bought by the holder and one or more options entered into between the holder and us. Therefore, the terms of the notes may be impacted by the various factors mentioned under &#x201c;Additional Risk Factors Specific to Your Notes &#x2014; The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors&#x201d; on page PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">15</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">. The discussion in this paragraph does not modify or affect the terms of the notes or the U.S. federal income tax treatment of the notes, as described elsewhere in this pricing supplement.</font></p>
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     <td style="border-top:0.5pt solid;padding-top:0in;border-right:0.5pt solid;border-left:0.5pt solid;padding-left:0.075in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.075in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">We cannot predict the actual final underlying ETF price or what the market value of your notes will be on any particular trading day, nor can we predict the relationship between the underlying ETF price and the market value of your notes at any time prior to the stated maturity date.  The actual amount that you will receive at maturity and the rate of return on the offered notes will depend on the actual closing prices of the underlying ETF during the observation period and the actual final underlying ETF price determined by the calculation agent as described above.  Moreover, the assumptions on which the hypothetical returns are based may turn out to be inaccurate.  Consequently, the amount of cash to be paid in respect of your notes on the stated maturity date may be very different from the information reflected in the examples above.</font></p></td>
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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">11</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="addiional_risk"><font style="color:#ffffff;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">ADDITIONAL RISK FACTORS SPECIFIC TO YOUR NOTES</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="border-top:0.75pt solid #000000;padding-top:10pt;border-right:0.75pt solid #000000;padding-left:0.373%;padding-bottom:3pt;font-size:10pt;border-left:0.75pt solid #000000;margin-top:0;font-family:Times New Roman;margin-bottom:0;padding-right:0.373%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">An investment in your notes is subject to the risks described below, as well as the risks and considerations described in the accompanying prospectus, in the accompanying prospectus supplement and under &#x201c;Additional Risk Factors Specific to the Notes&#x201d; in the accompanying general terms supplement. You should carefully review these risks and considerations as well as the terms of the notes described herein and in the accompanying prospectus, the accompanying prospectus supplement and the accompanying general terms supplement. Your notes are a riskier investment than ordinary debt securities. You should carefully consider whether the offered notes are appropriate given your particular circumstances.</font></p><p style="border-right:0.75pt solid #000000;border-left:0.75pt solid #000000;padding-left:0.373%;padding-bottom:10pt;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;border-bottom:0.75pt solid #000000;padding-right:0.373%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">Without limiting the foregoing, for certain risks and considerations related to conflicts of interest, including calculation agent discretion and hedging activities, see &#x201c;Additional Risk Factors Specific to the Notes &#x2014; Risks Related to Structure, Valuation and Secondary Market Sales &#x2014; The Calculation Agent Will Have the Authority to Make Determinations That Could Affect the Market Value of Your Notes, When Your Notes Mature and the Amount, If Any, Payable on Your Notes&#x201d; and &#x201c;Additional Risk Factors Specific to the Notes &#x2014; Risks Related to Conflicts of Interest &#x2014; Hedging Activities by Goldman Sachs or Our Distributors May Negatively Impact Investors in the Notes and Cause Our Interests and Those of Our Clients and Counterparties to be Contrary to Those of Investors in the Notes&#x201d; in the accompanying general terms supplement.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:12pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Risks Related to Structure, Valuation and Secondary Market Sales</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Estimated Value of Your Notes At the Time the Terms of Your Notes Are Set On the Trade Date (as Determined By Reference to Pricing Models Used By GS&amp;Co.) Is Less Than the Original Issue Price Of Your Notes</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The original issue price for your notes exceeds the estimated value of your notes as of the time the terms of your notes are set on the trade date, as determined by reference to GS&amp;Co.&#x2019;s pricing models and taking into account our credit spreads. Such estimated value on the trade date is set forth above under &#x201c;Estimated Value of Your Notes&#x201d;; after the trade date, the estimated value as determined by reference to these models will be affected by changes in market conditions, the creditworthiness of GS Finance Corp., as issuer, the creditworthiness of The Goldman Sachs Group, Inc., as guarantor, and other relevant factors.  The price at which GS&amp;Co. would initially buy or sell your notes (if GS&amp;Co. makes a market, which it is not obligated to do), and the value that GS&amp;Co. will initially use for account statements and otherwise, also exceeds the estimated value of your notes as determined by reference to these models.  As agreed by GS&amp;Co. and the distribution participants, this excess (i.e., the additional amount described under &#x201c;Estimated Value of Your Notes&#x201d;) will decline to zero on a straight line basis over the period from the date thereof through the applicable date set forth above under &#x201c;Estimated Value of Your Notes&#x201d;.  Thereafter, if GS&amp;Co. buys or sells your notes it will do so at prices that reflect the estimated value determined by reference to such pricing models at that time.  The price at which GS&amp;Co. will buy or sell your notes at any time also will reflect its then current bid and ask spread for similar sized trades of structured notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In estimating the value of your notes as of the time the terms of your notes are set on the trade date, as disclosed above under &#x201c;Estimated Value of Your Notes&#x201d;, GS&amp;Co.&#x2019;s pricing models consider certain variables, including principally our credit spreads, interest rates (forecasted, current and historical rates), volatility, price-sensitivity analysis and the time to maturity of the notes. These pricing models are proprietary and rely in part on certain assumptions about future events, which may prove to be incorrect. As a result, the actual value you would receive if you sold your notes in the secondary market, if any, to others may differ, perhaps materially, from the estimated value of your notes determined by reference to our models due to, among other things, any differences in pricing models or assumptions used by others. See &#x201c;&#x2014; The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors&#x201d; below.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The difference between the estimated value of your notes as of the time the terms of your notes are set on the trade date and the original issue price is a result of certain factors, including principally the underwriting discount and commissions, the expenses incurred in creating, documenting and marketing the notes, and an estimate of the difference between the amounts we pay to GS&amp;Co. and the amounts GS&amp;Co. pays to us in connection with your notes. We pay to GS&amp;Co. amounts based on what we would pay to holders of a non-structured note with a similar maturity.  In return for such payment, GS&amp;Co. pays to us the amounts we owe under your notes.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">12</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition to the factors discussed above, the value and quoted price of your notes at any time will reflect many factors and cannot be predicted.  If GS&amp;Co. makes a market in the notes, the price quoted by GS&amp;Co. would reflect any changes in market conditions and other relevant factors, including any deterioration in our creditworthiness or perceived creditworthiness or the creditworthiness or perceived creditworthiness of The Goldman Sachs Group, Inc. These changes may adversely affect the value of your notes, including the price you may receive for your notes in any market making transaction. To the extent that GS&amp;Co. makes a market in the notes, the quoted price will reflect the estimated value determined by reference to GS&amp;Co.&#x2019;s pricing models at that time, plus or minus its then current bid and ask spread for similar sized trades of structured notes (and subject to the declining excess amount described above).</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Furthermore, if you sell your notes, you will likely be charged a commission for secondary market transactions, or the price will likely reflect a dealer discount.  This commission or discount will further reduce the proceeds you would receive for your notes in a secondary market sale.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">There is no assurance that GS&amp;Co. or any other party will be willing to purchase your notes at any price and, in this regard, GS&amp;Co. is not obligated to make a market in the notes.  See &#x201c;&#x2014; Your Notes May Not Have an Active Trading Market&#x201d; below.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;" id="creditrisk"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Notes Are Subject to the Credit Risk of the Issuer and the Guarantor</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Although the return on the notes will be based on the performance of the underlying ETF, the payment of any amount due on the notes is subject to the credit risk of GS Finance Corp., as issuer of the notes, and the credit risk of The Goldman Sachs Group, Inc., as guarantor of the notes. The notes are our unsecured obligations.  Investors are dependent on our ability to pay all amounts due on the notes, and therefore investors are subject to our credit risk and to changes in the market&#x2019;s view of our creditworthiness.  Similarly, investors are dependent on the ability of The Goldman Sachs Group, Inc., as guarantor of the notes, to pay all amounts due on the notes, and therefore are also subject to its credit risk and to changes in the market&#x2019;s view of its creditworthiness.  See &#x201c;Description of the Notes We May Offer &#x2014; Information About Our Medium-Term Notes, Series F Program &#x2014; How the Notes Rank Against Other Debt&#x201d; on page S-5 of the accompanying prospectus supplement and &#x201c;Description of Debt Securities We May Offer &#x2014; Guarantee by The Goldman Sachs Group, Inc.&#x201d; on page 67 of the accompanying prospectus.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Potential for the Value of Your Notes to Increase Will Be Limited</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:7pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred, the cash settlement amount at maturity for each $1,000 face amount of your notes will be limited to between $1,000.00, on the lower end of the range, and $1,365.00, on the higher end of the range (representing a return of between 0.00%, on the lower end of the range, and 36.50%, on the higher end of the range), depending on the underlying ETF return.  If a barrier event has occurred, the cash settlement amount at maturity for each $1,000 face amount of your notes will be limited to $1,080.00 (representing the contingent return of 8.00%), regardless of the underlying ETF return.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:7pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You will benefit from the underlying ETF return only if a barrier event has </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> occurred. Because a barrier event will occur if, on any trading day during the observation period (</font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">including the determination date</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">), the closing price of the underlying ETF is above</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">the upper barrier (the initial underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> 36.50% of the initial underlying ETF price, rounded to the nearest one-hundredth), the cash settlement amount that we will deliver at maturity if a barrier event has not occurred will be limited to a maximum of $1,365.00 (representing a maximum return of 36.50%, on the higher end of the range) for each $1,000 face amount.  As a result, you would not benefit from a final underlying ETF price on the determination date (or a closing price of the underlying ETF on any other trading day during the observation period) that is above the upper barrier. Further, if a barrier event has not occurred and the final underlying ETF price on the determination date is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">less than</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> the initial underlying ETF price, the cash settlement amount that we will deliver at maturity will be limited to $1,000.00 (representing a return of 0.00%) for each $1,000 face amount.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">13</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A Higher Upper Barrier May Reflect Greater Expected Volatility of the Underlying ETF, and Greater Expected Volatility Generally Indicates An Increased Risk of Increases in the Price of the Underlying ETF and, Potentially, a Return Limited to the Contingent Return at Maturity</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The economic terms for the notes, including the upper barrier, are based, in part, on the expected volatility of the underlying ETF at the time the terms of the notes are set. &#x201c;Volatility&#x201d; refers to the frequency and magnitude of changes in the price of the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Higher expected volatility with respect to the underlying ETF as of the trade date generally indicates a greater expectation as of that date that the closing price of the underlying ETF could ultimately be greater than the upper barrier on any day during the observation period, which would result in a return limited to the contingent return on your investment in the notes. At the time the terms of the notes are set, higher expected volatility will generally be reflected in a higher upper barrier, as compared to otherwise comparable notes issued by the same issuer with the same maturity but with a different underlying ETF. However, there is no guarantee that the higher upper barrier set for your notes on the trade date will adequately compensate you, from a risk-potential reward perspective, for the greater risk of receiving a return limited to the contingent return on your investment in the notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">A relatively higher upper barrier (as compared to otherwise comparable securities), which would increase the potential risk of receiving a return limited to the contingent return on your investment in the notes, may generally indicate an increased risk that the price of the underlying ETF will increase substantially. This would result in a return limited to the contingent return on your investment in the notes if the closing price of the underlying ETF is greater than the upper barrier on any day during the observation period. Further, a relatively higher upper barrier may not indicate that the notes have a greater likelihood of a return greater than the contingent return based on the performance of the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You should not take the historical volatility of the underlying ETF as an indication of its future volatility. You should be willing to accept the downside or upside market risk of the underlying ETF and the potential to receive a return limited to the contingent return on your investment in the notes at maturity.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Return on Your Notes May Change Significantly Despite Only a Small Change in the Underlying ETF Price</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your ability to participate in any change in the price of the underlying ETF over the life of your notes will be limited and the return on your notes may change significantly despite only a small change in the underlying ETF price. If a barrier event occurs and the final underlying ETF price is greater than the initial underlying ETF price, your return on the notes is limited to the contingent return no matter how much the final underlying ETF price may increase above the initial underlying ETF price.  This means that, assuming an upper barrier of the initial underlying ETF price </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">plus</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> 36.50%, while an increase in the price of the ETF of 36.50% will not cause a barrier event to occur, an increase of greater than 36.50% will cause a barrier event to occur and your return on the notes will be limited to the contingent return.  Accordingly, if a barrier event occurs and the underlying ETF return is positive, the amount payable for each of your notes may be significantly less than it would have been had you invested directly in the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Further, if a barrier event does not occur and the final underlying ETF price is greater than the initial underlying ETF price but less than 108.00% of the initial underlying ETF price, your return on the notes will be less than the contingent return notwithstanding the benefit from the underlying ETF return.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your Notes Do Not Bear Interest</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You will not receive any interest payments on your notes. As a result, even if the cash settlement amount payable for each of your notes on the stated maturity date exceeds the face amount of your notes, the overall return you earn on your notes may be less than you would have earned by investing in a non-indexed debt security of comparable maturity that bears interest at a prevailing market rate.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You May Receive Only the Face Amount of Your Notes At Maturity</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If a barrier event has not occurred and the final underlying ETF price is equal to or less than the initial underlying ETF price on the determination date, no amount in cash in excess of the face amount will be paid on your notes on the stated maturity date. In such case, the return on your notes will be limited to the face amount. In this case, your return on the notes will be less than your return would have been had a barrier event occurred.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">14</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;" id="unpredictablefactors"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Market Value of Your Notes May Be Influenced by Many </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Unpredictable Factors</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">When we refer to the market value of your notes, we mean the value that you could receive for your notes if you chose to sell them in the open market before the stated maturity date.  A number of factors, many of which are beyond our control and impact the value of bonds and options generally, will influence the market value of your notes, including:</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	whether a barrier event has occurred;</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	the price of the underlying ETF;</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	the volatility &#x2014; i.e., the frequency and magnitude of changes &#x2014; in the price of the underlying ETF;</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	economic, financial, regulatory, political, military, public health and other events that affect stock markets generally and which may affect the price of the underlying ETF;</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	interest rates and yield rates in the market;</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	the time remaining until your notes mature; and</font></p><p style="text-indent:-3.448%;padding-left:3.333%;font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Symbol',serif;font-kerning:none;min-width:fit-content;">&#xf0b7;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">	our creditworthiness and the creditworthiness of The Goldman Sachs Group, Inc., whether actual or perceived, and including actual or anticipated upgrades or downgrades in our credit ratings or the credit ratings of The Goldman Sachs Group, Inc. or changes in other credit measures.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Without limiting the foregoing, the market value of your notes may be negatively impacted by increasing interest rates. Such adverse impact of increasing interest rates could be significantly enhanced in notes with longer-dated maturities, the market values of which are generally more sensitive to increasing interest rates.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">These factors, and many other factors, will influence the price you will receive if you sell your notes before maturity, including the price you may receive for your notes in any market-making transaction. If you sell your notes before maturity, you may receive less than the face amount of your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You cannot predict the future performance of the underlying ETF based on its historical performance. The actual performance of the underlying ETF over the life of the offered notes and  the cash settlement amount paid on the stated maturity date may bear little or no relation to the historical closing prices of the underlying ETF or to the hypothetical examples shown elsewhere in this pricing supplement.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If You Purchase Your Notes at a Premium to Face Amount, the Return on Your Investment Will Be Lower Than the Return on Notes Purchased at Face Amount and the Impact of Certain Key Terms of the Notes Will Be Negatively Affected</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The cash settlement amount you will be paid for your notes on the stated maturity date will not be adjusted based on the issue price you pay for the notes.  If you purchase notes at a price that differs from the face amount of the notes, then the return on your investment in such notes held to the stated maturity date will differ from, and may be substantially less than, the return on notes purchased at face amount.  If you purchase your notes at a premium to face amount and hold them to the stated maturity date the return on your investment in the notes will be lower than it would have been had you purchased the notes at face amount or a discount to face amount.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Return on Your Notes Will Not Reflect Any Dividends Paid on the Underlying ETF</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The return on your notes will not reflect the return you would realize if you actually owned shares of the underlying ETF and received the distributions paid on the shares of the underlying ETF. You will not receive any dividends that may be paid on the shares of the underlying ETF. See &#x201c;&#x2014;You Have No Shareholder Rights or Rights to Receive Any Shares of the Underlying ETF&#x201d; below for additional information.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You Have No Shareholder Rights or Rights to Receive Any Shares of the Underlying ETF</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Investing in your notes will not make you a holder of any shares of the underlying ETF.  Neither you nor any other holder or owner of your notes will have any rights with respect to the underlying ETF, including any voting rights, any rights to receive dividends or other distributions, any rights to make a claim against the underlying ETF or any other rights of a holder of the underlying ETF.  Your notes will be paid in cash and you will have no right to receive delivery of any shares of the underlying ETF.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">15</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your Notes May Not Have an Active Trading Market</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your notes will not be listed or displayed on any securities exchange or included in any interdealer market quotation system, and there may be little or no secondary market for your notes. Even if a secondary market for your notes develops, it may not provide significant liquidity and we expect that transaction costs in any secondary market would be high. As a result, the difference between bid and asked prices for your notes in any secondary market could be substantial.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We May Sell an Additional Aggregate Face Amount of the Notes at a Different Issue Price</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">At our sole option, we may decide to sell an additional aggregate face amount of the notes subsequent to the date of this pricing supplement. The issue price of the notes in the subsequent sale may differ substantially (higher or lower) from the issue price you paid as provided on the cover of this pricing supplement.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Additional Risks Related to the Underlying ETF</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:12pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Policies of the Underlying ETF&#x2019;s Investment Advisor Could Affect the Amount Payable on Your Notes and Their Market Value</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The underlying ETF&#x2019;s investment advisor may be called upon to make certain policy decisions or judgments with respect to the underlier, including those concerning the calculation of the net asset value of the underlying ETF, additions, deletions or substitutions of assets in the underlying ETF. Such determinations could affect the market price of the shares of the underlying ETF, and therefore, the amount payable on your notes on the stated maturity date. The amount payable on your notes and their market value could also be affected if the underlying ETF investment advisor changes these policies, for example, by changing or discontinuing the manner in which it evaluates the assets held by the underlying ETF and the manner in which it calculates the net asset value of the underlying ETF, in which case it may become difficult or inappropriate to determine the market value of your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If events such as these occur, the calculation agent &#x2014; which initially will be GS&amp;Co., our affiliate  &#x2014; may determine the closing price of the underlying ETF on the determination date &#x2014; and thus the amount payable on the stated maturity date, if any &#x2014; in a manner it considers appropriate, in its sole discretion.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">There is No Assurance That an Active Trading Market Will Continue for the Underlying ETF or That There Will Be Liquidity in Any Such Trading Market; Further, the Underlying ETF Is Subject to Custody Risks</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Although the shares of the underlying ETF and a number of similar products have been listed for trading on securities exchanges for varying periods of time, there is no assurance that an active trading market will continue for the shares of the underlying ETF or that there will be liquidity in the trading market.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The purpose of the SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust is to own gold transferred to the SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust in exchange for shares issued by the SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust. The SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust is not actively managed and may be affected by a decline in the price of gold.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition, the underlying ETF is subject to custody risk, which refers to the risks in safekeeping the SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust&#x2019;s gold bars and facilitating the transfer of gold bars into and out of the SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Ongoing Commodities-Related Regulatory Investigations And Private Litigation Could Affect Prices for Commodities, Which Could Adversely Affect Your Notes</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">An increased focus on price setting and trading prices by regulators and exchanges recently have resulted in a number of changes to the ways in which prices are determined, including prices for commodities. This increased focus also resulted in the publication of standards for benchmark setting by the International Organization of Securities Commissions. Investigations by regulatory authorities, enforcement actions and criminal proceedings in the United States and around the world, and private litigation regarding potential direct and indirect manipulation of the trading prices of certain commodities, are ongoing against a number of firms.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">16</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">These ongoing investigations, actions, proceedings and litigations may result in further review by exchanges and regulators of the methods by which commodities prices are determined and the manner in which commodities are traded and changes to those methods. In addition, changes to other commodity-related activities, such as storage facilities and delivery methods, may also occur. If any of these changes occur, the price of the commodity to which your notes may be linked may be affected, which may thereby adversely affect the price of the underlying ETF and your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition, if alleged trading price manipulation or other alleged conduct that may have artificially affected prices has occurred or is continuing, certain published commodity prices (including historical prices) may have been, or may be in the future, artificially lower (or higher) than they would otherwise have been. In particular, the historical trading information of the commodity to which your notes may be linked may be incorrect and, as a result, may not be representative of the prices or changes in prices or the volatility of the commodity to which your notes may be linked. In the future, any such artificially lower (or higher) prices could have an adverse impact on the relevant commodities or commodity contracts and any payments on, and the value of, your notes and the trading market for your notes.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Legal and Regulatory Changes Could Adversely Affect the Return on and Value of Your Notes</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Dodd-Frank Wall Street Reform and Consumer Protection Act (Dodd-Frank), which effected substantial changes to the regulation of the futures and over-the-counter (OTC) derivatives markets, was enacted in July 2010. Dodd-Frank required regulators, including the Commodity Futures Trading Commission (CFTC), to adopt regulations to implement many of the requirements of the legislation. While the CFTC has adopted the required regulations, some of them have only recently become effective. The ultimate impact of the regulatory scheme, therefore, cannot yet be fully determined. Under Dodd-Frank, in October 2020 the CFTC adopted a rule to impose limits on the size of positions that can be held by market participants in futures and OTC derivatives on physical commodities. Required compliance with the new position limits rule began on January 1, 2022 for physical commodity futures (and any associated referenced contracts other than economically equivalent swaps) and on January 1, 2023 for economically equivalent swaps. Despite the compliance date for economically equivalent swaps having passed, there remains substantial market uncertainty as to the exact scope of what constitutes an economically equivalent swap. The CFTC also has adopted rules governing the aggregation of positions by market participants under common control and by trading managers. While the ultimate scope and impact of the position limit and aggregation rules, as well as other CFTC rules cannot be conclusively determined at present, these new requirements could restrict the ability of certain market participants to participate in the commodities, futures and swap markets and markets for other OTC derivatives on physical commodities to the extent and at the levels that they have in the past. These factors may also have the effect of reducing liquidity and increasing costs in these markets as well as affecting the structure of the markets in other ways.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition, these legislative and regulatory changes have increased, and will continue to increase, the level of regulation of markets and market participants, and therefore the costs of participating in the commodities, futures and OTC derivatives markets. Without limitation, these changes require many OTC derivatives transactions to be executed on regulated exchanges or trading platforms and cleared through regulated clearing houses. Swap dealers (as defined by the CFTC) are also required to be registered and are subject to various regulatory requirements, including, but not limited to, posting and collecting margin for un-cleared OTC swaps traded bilaterally with financial entities, recordkeeping, reporting and various business conduct requirements, as well as proposed minimum financial capital requirements. These legislative and regulatory changes, and the resulting increased costs and regulatory oversight requirements, could result in market participants being required to, or deciding to, limit their trading activities, which could cause reductions in market liquidity and increases in market volatility. In addition, transaction costs incurred by market participants are likely to be higher than in the past, reflecting the costs of compliance with the new regulations. These consequences could adversely affect the price of the underlying ETF, which could in turn adversely affect the return on and value of your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition, other regulatory bodies have passed or proposed, or may propose in the future, legislation similar to Dodd-Frank or other legislation containing other restrictions that could adversely impact the liquidity of and increase costs of participating in the commodities markets. For example, the European Union (&#x201c;EU&#x201d;) Markets in Financial Instruments Directive (Directive 2014/65/EU) and Markets in Financial Instruments Regulation (Regulation (EU) No 600/2014) (together &#x201c;MiFID II&#x201d;), which has applied since January 3, 2018, governs the provision of investment services and activities in relation to, as well as the organized trading of, financial instruments such as shares, bonds, units in collective investment schemes and derivatives. In particular, MiFID II</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">17</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">requires EU Member States to apply position limits to the size of a net position which a person can hold at any time in commodity derivatives traded on EU trading venues and in &#x201c;economically equivalent&#x201d; OTC contracts. By way of further example, the European Market Infrastructure Regulation (Regulation (EU) No 648/2012) (&#x201c;EMIR&#x201d;) introduced certain requirements in respect of OTC derivatives including: (i) the mandatory clearing of OTC derivative contracts declared subject to the clearing obligation; (ii) risk mitigation techniques in respect of uncleared OTC derivative contracts, including the mandatory margining of uncleared OTC derivative contracts; and (iii) reporting and recordkeeping requirements in respect of all derivative contracts. In the event that the requirements under EMIR and MiFID II apply, these are expected to increase the cost of transacting derivatives.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Underlying ETF is a Concentrated Investment in a Single Commodity and Does Not Provide Diversified Exposure</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The underlying ETF is concentrated in a single commodity. As a result, the performance of the underlying ETF will be concentrated in the performance of that specific commodity. Although your investment in the notes will not result in the ownership or other direct interest in the commodity held (directly or indirectly) by the underlying ETF, the return on your investment in the notes will be subject to certain risks similar to those associated with direct investment in that commodity. This increases the risk that any market events that create a decrease in demand for or the trading price of the commodity would significantly adversely affect the underlying ETF, which could have an adverse impact on the value of the notes.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Value of the Shares of the Underlying ETF Relates Directly to the Value of the Gold Held by the Underlying ETF and Fluctuations in the Price of Gold Could Materially Adversely Affect an Investment in the Underlying ETF&#x2019;s Shares</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The shares are designed to mirror as closely as possible the performance of the price of gold, and the value of the shares relates directly to the value of the gold held by the underlying ETF, less the trust&#x2019;s liabilities (including estimated accrued expenses). The price of gold has fluctuated widely over the past several years. Several factors may affect the price of gold, including, but not limited to:</font></p><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">global supply and demand of gold, which may be influenced by such factors as gold&#x2019;s uses in jewelry, technology and industrial applications, purchases made by investors in the form of bars, coins and other gold products, forward selling by gold producers, purchases made by gold producers to unwind their hedge positions, central bank purchases and sales, and production and cost levels in the major gold-producing countries such as China, the United States and Australia;</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">interest rates; </font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">investors&#x2019; expectations concerning inflation rates; </font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">currency exchange rates;</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">investment and trading activities of hedge funds and commodity funds;</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">global or regional political, economic, public health or financial events and situations, especially those unexpected in nature; and</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">other economic variables such as income growth, economic output and monetary policies.</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Gold markets have historically experienced extended periods of flat or declining prices, in addition to sharp fluctuations.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Fees and Expenses Payable by the Underlying ETF Are Charged Regardless of Profitability and May Result in a Depletion of its Assets</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The underlying ETF is subject to fees and expenses, which are payable irrespective of profitability. Interest earned on the assets posted as collateral is paid to the underlying ETF and is used to pay fees and expenses. A prolonged decline in interest rates could materially affect the amount of interest paid to the underlying ETF. In the case of either an extraordinary expense and/or insufficient interest income to cover ordinary expenses, the underlying ETF could be forced to liquidate its positions in gold to pay such expenses.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Potential Discrepancies, or Future Changes, in the Calculation of the LBMA Gold Price PM Could Have an Adverse Effect on the Value of the Underlying ETF</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The value of the gold held by the underlying ETF is determined using the LBMA Gold Price PM, which is the LBMA Gold Price determined at 3:00 pm (London time) on the particular day. ICE Benchmark Administration (IBA) is the</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">18</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">administrator for the LBMA Gold Price PM, and IBA provides the auction platform, methodology as well as overall independent administration and governance for the LBMA Gold Price. As the administrator of the LBMA Gold Price, IBA operates an electronic and tradeable auction process. The price formation is in U.S. dollars only and prices are set twice daily at 10:30 a.m. and 3:00 p.m. (London time). Within the process, aggregated gold bids and offers are updated in real-time with the imbalance calculated and the price updated every 30 seconds until the buy and sell orders are matched.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If the LBMA Gold Price PM does not prove to be an accurate benchmark, and the LBMA Gold Price PM varies materially from the price of gold determined by other mechanisms, the net asset value of the underlying ETF and, therefore, the value of an investment in the shares could be adversely impacted. Further, the calculation of the LBMA Gold Price PM is not an exact process, but is based upon a procedure of matching orders from participants in the auction process and their customers to sell gold with orders from participants in the auction process and their customers to buy gold at particular prices. The LBMA Gold Price PM does not therefore purport to reflect each buyer or seller of gold in the market, nor does it purport to set a definitive price for gold at which all orders for sale or purchase will take place on that particular day or time. All orders placed into the auction process by the participants will be executed on the basis of the price determined pursuant to the LBMA Gold Price PM auction process. Any future developments or changes in the determination of the LBMA Gold price PM, to the extent they have a material impact on the LBMA Gold Price PM, could adversely impact the net asset value of the underlying ETF and the value of the shares.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Amount of Gold Represented by the Shares of the Underlying ETF Will Continue to Be Reduced During the Life of the Underlying ETF Due to the Underlying ETF&#x2019;s Expenses</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Each outstanding share represents a fractional, undivided interest in the gold held by the underlying ETF. The underlying ETF does not generate any income and regularly sells gold to pay for its ongoing expenses. Therefore, the amount of gold represented by each share has gradually declined over time. This is also true with respect to shares that are issued in exchange for additional deposits of gold into the underlying ETF, as the amount of gold required to create shares proportionately reflects the amount of gold represented by the shares outstanding at the time of creation. Assuming a constant gold price, the trading price of the shares is expected to gradually decline relative to the price of gold as the amount of gold represented by the shares gradually declines.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Termination or Liquidation of the Underlying ETF Could Adversely Affect the Value of the Notes</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The underlying ETF is a Delaware statutory trust. The trust may be required to terminate and liquidate at a time that is disadvantageous to you. If the trust is required to terminate and liquidate, such termination and liquidation could occur at a time when the price of gold is lower than the price of gold at the time when you purchased your notes, which could have an adverse impact on the value of the notes.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Except to the Extent GS&amp;Co. and One or More of Our Other Affiliates Act as Authorized Participants in the Distribution of, and, at Any Time, May Hold, Shares of, the Underlying ETF, there is No Affiliation Between the Underlier Investment Advisor and Us</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">GS&amp;Co. and one or more of our other affiliates may act, from time to time, as authorized participants in the distribution of shares of the underlying ETF, and, at any time, may hold shares of the underlying ETF. Goldman Sachs is not otherwise affiliated with the underlier investment advisor.  Neither we nor any of our affiliates have participated in the preparation of any publicly available information or made any &#x201c;due diligence&#x201d; investigation or inquiry with respect to the underlying ETF.  You, as an investor in the notes, should make your own investigation into the underlying ETF.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The underlier investment advisor is not involved in the offering of the notes in any way and does not have any obligation of any sort with respect to the notes.  The underlier investment advisor does not have any obligation to take your interests into consideration for any reason, including when taking any corporate actions that might affect the value of the notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Risks Related to Tax</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Certain Considerations for Insurance Companies and Employee Benefit Plans</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Any insurance company or fiduciary of a pension plan or other employee benefit plan that is subject to the prohibited transaction rules of the Employee Retirement Income Security Act of 1974, as amended, which we call &#x201c;ERISA&#x201d;, or the Internal Revenue Code of 1986, as amended, including an IRA or a Keogh plan (or a governmental plan to which similar prohibitions apply), and that is considering purchasing the offered notes</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">19</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">with the assets of the insurance company or the assets of such a plan, should consult with its counsel regarding whether the purchase or holding of the offered notes could become a &#x201c;prohibited transaction&#x201d; under ERISA, the Internal Revenue Code or any substantially similar prohibition in light of the representations a purchaser or holder in any of the above categories is deemed to make by purchasing and holding the offered notes. This is discussed in more detail under &#x201c;Employee Retirement Income Security Act&#x201d; below.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your Notes Will Be Treated as Debt Instruments Subject to Special Rules Governing Contingent Payment Debt Instruments for U.S. Federal Income Tax Purposes</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes will be treated as debt instruments subject to special rules governing contingent payment debt instruments for U.S. federal income tax purposes. If you are a U.S. individual or taxable entity, you generally will be required to pay taxes on ordinary income from the notes over their term based on the comparable yield for the notes, even though you will not receive any payments from us until maturity. This comparable yield is determined solely to calculate the amount on which you will be taxed prior to maturity and is neither a prediction nor a guarantee of what the actual yield will be. In addition, any gain you may recognize on the sale, exchange or maturity of the notes will be taxed as ordinary interest income. If you are a secondary purchaser of the notes, the tax consequences to you may be different. Please see &#x201c;Supplemental Discussion of U.S. Federal Income Tax Consequences&#x201d; below for a more detailed discussion. Please also consult your tax advisor concerning the U.S. federal income tax and any other applicable tax consequences to you of owning your notes in your particular circumstances.</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:8pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Foreign Account Tax Compliance Act (FATCA) Withholding May Apply to Payments on Your Notes, Including as a Result of the Failure of the Bank or Broker Through Which You Hold the Notes to Provide Information to Tax Authorities</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Please see the discussion under &#x201c;United States Taxation &#x2014; Taxation of Debt Securities &#x2014; Foreign Account Tax Compliance Act (FATCA) Withholding&#x201d; in the accompanying prospectus for a description of the applicability of FATCA to payments made on your notes.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">20</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:6pt;text-align:center;" id="theunderlyingindices"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">THE </font><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">UNDERLYING ETF</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;" id="historicalclosinglevelsoftheindices"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The SPDR</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust (the &#x201c;trust&#x201d;) issues shares (the &#x201c;shares&#x201d;) representing units of fractional undivided beneficial interest in and ownership of the trust.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The purpose of the trust is to hold gold bars and, from time to time, issue shares in exchange for deposits of gold and distribute gold in connection with redemptions of shares. The trust seeks to reflect the performance of the price of gold bullion, less the expenses of the trust&#x2019;s operations. The shares are designed to be a cost-effective and convenient way to invest in gold. </font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:6pt;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The trust&#x2019;s trustee is BNY Mellon Asset Servicing, a division of The Bank of New York Mellon</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:6pt;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The shares trade under the ticker symbol &#x201c;GLD&#x201d; on the NYSE Arca. </font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:6pt;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The trust&#x2019;s SEC CIK Number is 0001222333.</font></div></div><div class="item-list-element-wrapper" style="margin-left:3.333%;display:flex;margin-top:6pt;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.447919145106397%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The trust&#x2019;s inception date was November 12, 2004.</font></div></div><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Where Information About the Trust Can Be Obtained</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Information filed by the trust with the U.S. Securities and Exchange Commission (&#x201c;SEC&#x201d;) electronically can be reviewed through a web site maintained by the SEC. The address of the SEC&#x2019;s web site is sec.gov. Information filed with the SEC by the trust, including its reports to shareholders, can be located by referencing its CIK number referred to above.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In addition, information regarding the trust (including its fees) may be obtained from other sources including, but not limited to, press releases, newspaper articles, other publicly available documents, and the trust&#x2019;s website. We are not incorporating by reference the website, the sources listed above or any material they include in this pricing supplement.</font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We do not make any representation or warranty as to the accuracy or completeness of any materials referred to above, including any filings made by the trust with the SEC.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We Obtained the Information About the Trust From the Trust&#x2019;s Publicly Available Information</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">This pricing supplement relates only to your note and does not relate to the trust. We have derived all information about the trust in this pricing supplement from the publicly available information referred to in the preceding subsection. We have not participated in the preparation of any of those documents or made any &#x201c;due diligence&#x201d; investigation or inquiry with respect to the trust in connection with the offering of your note. Furthermore, we do not know whether all events occurring before the date of this pricing supplement &#x2014; including events that would affect the accuracy or completeness of the publicly available documents referred to above and the trading price of shares of the trust &#x2014; have been publicly disclosed. Subsequent disclosure of any events of this kind or the disclosure of or failure to disclose material future events concerning the trust could affect the value you will receive at maturity and, therefore, the market value of your note.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">  </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Neither we nor any of our affiliates make any representation to you as to the performance of the trust.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;margin-right:0.796%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We or any of our affiliates may currently or from time to time engage in business with the trust, including making loans to or equity investments in the trust or providing advisory services to the trust, including merger and acquisition advisory services. In the course of that business, we or any of our affiliates may acquire non-public information about the trust and, in addition, one or more of our affiliates may publish research reports about the trust. As an investor in a note, you should undertake such independent investigation of the trust as in your judgment is appropriate to make an informed decision with respect to an investment in a note.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">21</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;" id="historical_closing_levels_ofthe_index"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Historical Closing PRICES of the Underlying ETF</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The closing prices of the underlying ETF have fluctuated in the past and may, in the future, experience significant fluctuations. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In particular, the underlying ETF has recently experienced extreme and unusual volatility. </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Any historical upward or downward trend in the closing prices of the underlying ETF during the period shown below is not an indication that the underlying ETF is more or less likely to increase or decrease at any time during the life of your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You should not take the historical closing prices of the underlying ETF as an indication of the future performance of the underlying ETF, including because of the recent volatility described above. </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We cannot give you any assurance that the future performance of the underlying ETF will result in you receiving an amount greater than the outstanding face amount of your notes on the stated maturity date.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Neither we nor any of our affiliates make any representation to you as to the performance of the underlying ETF.  Before investing in the offered notes, you should consult publicly available information to determine the prices of the underlying ETF between the date of this pricing supplement and the date of your purchase of the offered notes </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">and, given the recent volatility described above, you should pay particular attention to recent prices of the underlying ETF.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> The actual performance of the underlying ETF over the life of the offered notes, as well as the cash settlement amount at maturity, may bear little relation to the historical prices shown below.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The graph below shows the daily historical closing prices of the underlying ETF from January 1, 2020 through October 29, 2025. As a result, the following graph does not reflect the global financial crisis which began in 2008, which had a materially negative impact on the price of most commodities and, as a result, the price of most commodity ETFs. We obtained the closing prices in the graph below from Bloomberg Financial Services, without independent verification.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Historical Performance of the SPDR</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;vertical-align:super;font-size:6.7pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> Gold Trust</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42159359_4.jpg" alt="img42159359_4.jpg" style="width:623px;height:350px;"></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">22</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;" id="suppdiscussfedtax"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Supplemental Discussion of U.S. Federal Income Tax Consequences</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The following section supplements, and to the extent inconsistent, replaces, the discussion of U.S. federal income taxation in the accompanying prospectus.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The following section is the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">llp</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">, counsel to GS Finance Corp. and The Goldman Sachs Group, Inc. It applies to you only if you hold your notes as a capital asset for tax purposes. This section does not apply to you if you are a member of a class of holders subject to special rules, such as:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a dealer in securities or currencies;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a trader in securities that elects to use a mark-to-market method of accounting for your securities holdings;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a bank;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a life insurance company;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a regulated investment company;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">an accrual method taxpayer subject to special tax accounting rules as a result of its use of financial statements;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a tax exempt organization;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a partnership;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a person that owns a note as a hedge or that is hedged against interest rate risks;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a person that owns a note as part of a straddle or conversion transaction for tax purposes; or</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a United States holder (as defined below) whose functional currency for tax purposes is not the U.S. dollar.</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">This section is based on the U.S. Internal Revenue Code of 1986, as amended, its legislative history, existing and proposed regulations under the Internal Revenue Code, published rulings and court decisions, all as currently in effect. These laws are subject to change, possibly on a retroactive basis.</font></p><p style="border-top:0.5pt solid;padding-top:1pt;border-right:0.5pt solid;padding-left:0.747%;padding-bottom:1pt;font-size:10pt;border-bottom:0.5pt solid;border-left:0.5pt solid;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;padding-right:0.747%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">You should consult your tax advisor concerning the U.S. federal income tax and other tax consequences of your investment in the notes, including the application of state, local or other tax laws and the possible effects of changes in federal or other tax laws.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">United States Holders</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">This section applies to you only if you are a United States holder that holds your notes as a capital asset for tax purposes. You are a United States holder if you are a beneficial owner of a note and you are:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a citizen or resident of the United States;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a domestic corporation;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">an estate whose income is subject to U.S. federal income tax regardless of its source; or</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a trust if a United States court can exercise primary supervision over the trust&#x2019;s administration and one or more United States persons are authorized to control all substantial decisions of the trust.</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If you are not a United States holder, this section does not apply to you and you should refer to &#x201c;&#x2014; Non-United States Holders&#x201d; below.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Your notes will be treated as debt instruments subject to special rules governing contingent payment debt instruments for U.S. federal income tax purposes. Under those rules, and subject to the discussion below regarding fixed but deferred contingent payments, the amount of interest you are required to take into account for each accrual period will be determined by constructing a projected payment schedule for your notes and applying rules similar to those for accruing original issue discount on a hypothetical noncontingent debt instrument with that projected payment schedule. This method is applied by first determining the yield at which we would issue a noncontingent fixed rate debt instrument with terms and conditions similar to your notes (the &#x201c;comparable yield&#x201d;) and then determining as of the issue date a payment schedule that would produce the comparable yield. These rules will generally have the effect of requiring you to include amounts in income in respect of your notes over their term based on the comparable yield for the notes, even though you will not receive any payments from us until maturity.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">23</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We have determined that the comparable yield for the notes is equal to 4.135% per annum, compounded semi-annually with a projected payment at maturity of $1,086.90 based on an investment of $1,000.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Based on this comparable yield, if you are an initial holder that holds a note until maturity and you pay your taxes on a calendar year basis, we have determined that you would be required to report the following amounts as ordinary income, not taking into account any positive or negative adjustments you may be required to take into account based on the actual payments on the notes, from the note each year:</font></p>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Accrual Period</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;border-bottom:0.5pt solid #ffffff03;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Interest Deemed to</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Accrue During Accrual</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Period (per $1,000</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">note)</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;border-bottom:0.5pt solid #ffffff03;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Total Interest Deemed</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">to Have Accrued from</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Original Issue Date (per</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$1,000 note) as of End</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">of Accrual Period</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">October 31, 2025 through December 31, 2025</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$7.01</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$7.01</font></p></td>
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     <td style="padding-top:0in;padding-left:0in;vertical-align:top;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">January 1, 2026 through December 31, 2026</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">January 1, 2027 through November 3, 2027</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:bottom;padding-bottom:0in;padding-right:0in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$42.66</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$37.23</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
     <td style="padding-top:0in;padding-left:0in;vertical-align:middle;padding-bottom:0in;padding-right:0in;text-align:left;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$49.67</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">$86.90</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You are required to use the comparable yield and projected payment schedule that we compute in determining your interest accruals in respect of your notes, unless you timely disclose and justify on your U.S. federal income tax return the use of a different comparable yield and projected payment schedule.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:6pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="border-top:0.5pt solid;padding-top:1pt;border-right:0.5pt solid;padding-left:0.747%;padding-bottom:1pt;font-size:10pt;border-bottom:0.5pt solid;border-left:0.5pt solid;margin-top:0;font-family:Times New Roman;margin-bottom:0;padding-right:0.747%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">The comparable yield and projected payment schedule are not provided to you for any purpose other than the determination of your interest accruals in respect of your notes, and we make no representation regarding the amount of contingent payments with respect to your notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:6pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If you purchase your notes at a price other than their adjusted issue price determined for tax purposes, you must determine the extent to which the difference between the price you paid for your notes and their adjusted issue price is attributable to a change in expectations as to the projected payment schedule, a change in interest rates, or both, and reasonably allocate the difference accordingly. The adjusted issue price of your notes will equal your notes&#x2019; original issue price plus any interest deemed to be accrued on your notes (under the rules governing contingent payment debt instruments) as of the time you purchase your notes. The original issue price of your notes will be the first price at which a substantial amount of the notes is sold to persons other than bond houses, brokers or similar persons or organizations acting in the capacity of underwriters, placement agents or wholesalers. Therefore, you may be required to make the adjustments described above even if you purchase your notes in the initial offering if you purchase your notes at a price other than the issue price.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If the adjusted issue price of your notes is greater than the price you paid for your notes, you must make positive adjustments increasing (i) the amount of interest that you would otherwise accrue and include in income each year, and (ii) the amount of ordinary income (or decreasing the amount of ordinary loss) recognized upon maturity by the amounts allocated under the previous paragraph to each of interest and the projected payment schedule; if the adjusted issue price of your notes is less than the price you paid for your notes, you must make negative adjustments, decreasing (i) the amount of interest that you must include in income each year, and (ii) the amount of ordinary income (or increasing the amount of ordinary loss) recognized upon maturity by the amounts allocated under the previous paragraph to each of interest and the projected payment schedule. Adjustments allocated to the interest amount are not made until the date the daily portion of interest accrues.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Because any Form 1099-OID that you receive will not reflect the effects of positive or negative adjustments resulting from your purchase of notes at a price other than the adjusted issue price determined for tax purposes, you are urged to consult with your tax advisor as to whether and how adjustments should be made to the amounts reported on any Form 1099-OID.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">You will recognize gain or loss upon the sale, exchange or maturity of your notes in an amount equal to the difference, if any, between the cash amount you receive at such time and your adjusted basis in your notes. In general, your adjusted basis in your notes will equal the amount you paid for your notes, increased by the amount of interest you previously accrued with respect to your notes (in accordance with the comparable yield and the projected payment schedule for your notes), and increased or decreased by the amount of any positive or negative adjustment, respectively, that you are required to make if you purchase your notes at a price other than the adjusted issue price determined for tax purposes.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">24</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Except as described below with respect to certain fixed but deferred contingent payments, any gain you recognize upon the sale, exchange or maturity of your notes will be ordinary interest income. Any loss you recognize at such time will be ordinary loss to the extent of interest you included as income in the current or previous taxable years in respect of your notes, and, thereafter, capital loss. If you are a noncorporate holder, you would generally be able to use such ordinary loss to offset your income only in the taxable year in which you recognize the ordinary loss and would generally not be able to carry such ordinary loss forward or back to offset income in other taxable years.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-style:italic;font-kerning:none;min-width:fit-content;">Fixed but deferred contingent payments</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Notwithstanding the rules described above, special rules apply to a contingent payment debt instrument where all the remaining contingent payments on such instrument become fixed more than six months before all of the contingent payments on such instrument become due. This rule would apply to your notes, for example, if on a date that is more than six months prior to maturity a barrier event occurs. Although not entirely clear, we think that in such a case it would be reasonable for an initial holder of the notes to recognize an ordinary loss equal to any interest previously accrued on the notes that is in excess of the contingent return, and to cease accruing interest over the remainder of the notes. Thereafter, any gain or loss you recognize from a subsequent sale of the notes should generally be characterized as capital gain or loss.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The application to your notes of the rules governing contingent payments that become fixed are not clear, and the Internal Revenue Service could assert that the tax consequences to you should be different than described above. You are urged to consult your tax advisor regarding the application of these rules to your particular circumstances.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Non-United States Holders</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">If you are a non-United States holder, please see the discussion under &#x201c;United States Taxation &#x2014; Taxation of Debt Securities &#x2014; Non-United States Holders&#x201d; in the accompanying prospectus for a description of the tax consequences relevant to you. You are a non-United States holder if you are the beneficial owner of the notes and are, for U.S. federal income tax purposes:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a nonresident alien individual;</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">a foreign corporation; or</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:6pt;min-width:3.333%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">an estate or trust that in either case is not subject to U.S. federal income tax on a net income basis on income or gain from the notes.</font></div></div><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The Treasury Department has issued regulations under which amounts paid or deemed paid on certain financial instruments (&#x201c;871(m) financial instruments&#x201d;) that are treated as attributable to U.S.-source dividends could be treated, in whole or in part depending on the circumstances, as a &#x201c;dividend equivalent&#x201d; payment that is subject to tax at a rate of 30% (or a lower rate under an applicable treaty), which in the case of amounts you receive upon the sale, exchange or maturity of your notes, could be collected via withholding. If these regulations were to apply to the notes, we may be required to withhold such taxes if any U.S.-source dividends are paid on the underlying ETF during the term of the notes. We could also require you to make certifications (e.g., an applicable Internal Revenue Service Form W-8) prior to the maturity of the notes in order to avoid or minimize withholding obligations, and we could withhold accordingly (subject to your potential right to claim a refund from the Internal Revenue Service) if such certifications were not received or were not satisfactory. If withholding was required, we would not be required to pay any additional amounts with respect to amounts so withheld. These regulations generally will apply to 871(m) financial instruments (or a combination of financial instruments treated as having been entered into in connection with each other) issued (or significantly modified and treated as retired and reissued) on or after January 1, 2027, but will also apply to certain 871(m) financial instruments (or a combination of financial instruments treated as having been entered into in connection with each other) that have a delta (as defined in the applicable Treasury regulations) of one and are issued (or significantly modified and treated as retired and reissued) on or after January 1, 2017.  In addition, these regulations will not apply to financial instruments that reference a &#x201c;qualified index&#x201d; (as defined in the regulations).  We have determined that, as of the issue date of your notes, your notes will not be subject to withholding under these rules.  In certain limited circumstances, however, you should be aware that it is possible for non-United States holders to be liable for tax under these rules with respect to a combination of transactions treated as having been entered into in connection with each other even when no withholding is required.  You should consult your</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">25</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">tax advisor concerning these regulations, subsequent official guidance and regarding any other possible alternative characterizations of your notes for U.S. federal income tax purposes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Foreign Account Tax Compliance Act (FATCA) Withholding</font><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Pursuant to Treasury regulations, Foreign Account Tax Compliance Act (FATCA) withholding (as described in &#x201c;United States Taxation&#x2014;Taxation of Debt Securities&#x2014;Foreign Account Tax Compliance Act (FATCA) Withholding&#x201d; in the accompanying prospectus) will generally apply to obligations that are issued on or after July 1, 2014; therefore, the notes will generally be subject to the FATCA withholding rules.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;"> </font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">26</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:center;"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">SUPPLEMENTAL PLAN OF DISTRIBUTION; CONFLICTS OF INTEREST</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">See &#x201c;Supplemental Plan of Distribution&#x201d; on page S-51 of the accompanying general terms supplement and &#x201c;Plan of Distribution - Conflicts of Interest&#x201d; on page 127 of the accompanying prospectus. GS Finance Corp. estimates that its share of the total offering expenses, excluding underwriting discounts and commissions, will be approximately $20,000.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">GS Finance Corp. will sell to Goldman Sachs &amp; Co. LLC (&#x201c;GS&amp;Co.&#x201d;), and GS&amp;Co. will purchase from GS Finance Corp., the aggregate face amount of the offered notes specified on the front cover of this pricing supplement. GS&amp;Co. proposes initially to offer the notes to the public at the original issue price set forth on the cover page of this pricing supplement, and to UBS Financial Services Inc. at such price less a concession not in excess of 1.50% of the face amount. GS&amp;Co. is an affiliate of GS Finance Corp. and The Goldman Sachs Group, Inc. and, as such, will have a &#x201c;conflict of interest&#x201d; in this offering of notes within the meaning of Financial Industry Regulatory Authority, Inc. (FINRA) Rule 5121. Consequently, this offering of notes will be conducted in compliance with the provisions of FINRA Rule 5121. GS&amp;Co. will not be permitted to sell notes in this offering to an account over which it exercises discretionary authority without the prior specific written approval of the account holder.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We will deliver the notes against payment therefor in New York, New York on October 31, 2025. Under Rule 15c6-1 of the Securities Exchange Act of 1934, trades in the secondary market generally are required to settle in one business day, unless the parties to any such trade expressly agree otherwise. Accordingly, purchasers who wish to trade notes on any date prior to one business day before delivery will be required to specify alternative settlement arrangements to prevent a failed settlement.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We have been advised by GS&amp;Co. that it intends to make a market in the notes. However, neither GS&amp;Co. nor any of our other affiliates that makes a market is obligated to do so and any of them may stop doing so at any time without notice. No assurance can be given as to the liquidity or trading market for the notes.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">The notes will not be listed on any securities exchange or interdealer quotation system.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">27</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.5in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">VALIDITY OF THE NOTES AND GUARANTEE</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">In the opinion of Sidley Austin </font><font style="font-variant:small-caps;color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">llp</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">, as counsel to GS Finance Corp. and The Goldman Sachs Group, Inc., when the notes offered by this pricing supplement have been executed and issued by GS Finance Corp., such notes have been authenticated by the trustee pursuant to the indenture, and such notes have been delivered against payment as contemplated herein, (a) such notes will be valid and binding obligations of GS Finance Corp., enforceable in accordance with their terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors&#x2019; rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above and (b) the guarantee with respect to such notes will be a valid and binding obligation of The Goldman Sachs Group, Inc., enforceable in accordance with its terms, subject to applicable bankruptcy, insolvency and similar laws affecting creditors' rights generally, concepts of reasonableness and equitable principles of general applicability (including, without limitation, concepts of good faith, fair dealing and the lack of bad faith), provided that such counsel expresses no opinion as to the effect of fraudulent conveyance, fraudulent transfer or similar provision of applicable law on the conclusions expressed above. This opinion is given as of the date hereof and is limited to the laws of the State of New York and the General Corporation Law of the State of Delaware as in effect on the date hereof. In addition, this opinion is subject to customary assumptions about the trustee&#x2019;s authorization, execution and delivery of the indenture and the genuineness of signatures and certain factual matters, all as stated in the letter of such counsel dated January 27, 2025, which has been filed as Exhibit 5.6 to the registration statement on Form S-3 filed with the Securities and Exchange Commission by GS Finance Corp. and The Goldman Sachs Group, Inc. on January 27, 2025.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.19in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;margin-left:0;margin-right:0;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">PS-</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">28</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:0.69in;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:8pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">We have not authorized anyone to provide any information or to make any representations other than those contained or incorporated by reference in this pricing supplement, the accompanying general terms supplement, the accompanying prospectus supplement or the accompanying prospectus. We take no responsibility for, and can provide no assurance as to the reliability of, any other information that others may give you. This pricing supplement, the accompanying general terms supplement, the accompanying prospectus supplement and the accompanying prospectus is an offer to sell only the notes offered hereby, but only under circumstances and in jurisdictions where it is lawful to do so. The information contained in this pricing supplement, the accompanying general terms supplement, the accompanying prospectus supplement and the accompanying prospectus is current only as of the respective dates of such documents.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:left;"><font style="white-space:pre-wrap;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:16pt;font-family:Arial;font-kerning:none;min-width:fit-content;">$5,333,000</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br><br><br><br></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:16pt;font-family:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br><br><br><br></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:12pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Barrier Market-Linked Notes (With Daily Barrier Observation) Linked to the SPDR</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;vertical-align:super;font-size:8.040000000000001pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:12pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Gold Trust ETF due 2027</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:8pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">guaranteed by</font><font style="color:#000000;white-space:pre-wrap;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:16pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Goldman Sachs Group, Inc.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br><br><br><br><br><br><br>____________<br><br></font><img src="img42159359_5.jpg" alt="img42159359_5.jpg" style="width:96px;height:97px;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;"><br>____________<br><br><br></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:16pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Goldman Sachs &amp; Co. LLC</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="white-space:pre-wrap;font-size:16pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:16pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">UBS Financial Services Inc.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:12pt;font-family:'Lucida Sans',sans-serif;font-kerning:none;min-width:fit-content;">Selling Agent</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.4in;justify-content:flex-end;position:relative;box-sizing:border-box;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;margin-left:0;margin-right:0;"><font style="white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">&#160;</font></p></div>
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  <div class="main-content-container" style="z-index:5;position:relative;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:right;"><span style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">EX-FILING FEES</span></p><div><ix:nonNumeric id="F_216a25c5-09a7-4fae-8f28-afb2aac443ae" contextRef="C_0c99e946-92a9-4b0a-bfc9-b46fa22f9db2" name="ffd:NrrtvDsclsr" escape="true"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">The prospectus to which this Exhibit is attached is a final prospectus for the related offering.  The maximum aggregate offering price for such offering is $</span><span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"><ix:nonFraction id="F_f9bd72e6-cc4b-49c0-862f-1d0697f8813e" contextRef="C_0c99e946-92a9-4b0a-bfc9-b46fa22f9db2" name="ffd:NrrtvMaxAggtOfferingPric" unitRef="U_USD" decimals="0" format="ixt:num-dot-decimal">5,333,000</ix:nonFraction></span><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">.</span></p></ix:nonNumeric></div></div>
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end
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</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>5
<FILENAME>img42159359_2.jpg
<DESCRIPTION>GRAPHIC
<TEXT>
begin 644 img42159359_2.jpg
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end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>6
<FILENAME>img42159359_3.jpg
<DESCRIPTION>GRAPHIC
<TEXT>
begin 644 img42159359_3.jpg
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<TEXT>
<html>
<head>
<title></title>
<link rel="stylesheet" type="text/css" href="include/report.css">
<script type="text/javascript" src="Show.js">/* Do Not Remove This Comment */</script><script type="text/javascript">
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<span style="display: none;">v3.25.3</span><table class="report" border="0" cellspacing="2" id="id2">
<tr>
<th class="tl" colspan="1" rowspan="1"><div style="width: 200px;"><strong>Submission<br></strong></div></th>
<th class="th"><div>Oct. 31, 2025</div></th>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissionLineItems', window );"><strong>Submission [Line Items]</strong></a></td>
<td class="text">&#160;<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityCentralIndexKey', window );">Central Index Key</a></td>
<td class="text">0000886982<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_dei_EntityRegistrantName', window );">Registrant Name</a></td>
<td class="text">The Goldman Sachs Group, Inc.<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_RegnFileNb', window );">Registration File Number</a></td>
<td class="text">333-284538<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FormTp', window );">Form Type</a></td>
<td class="text">S-3<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_SubmissnTp', window );">Submission Type</a></td>
<td class="text">424B2<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_FeeExhibitTp', window );">Fee Exhibit Type</a></td>
<td class="text">EX-FILING FEES<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OfferingTableNa', window );">Offering Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_OffsetTableNa', window );">Offset Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
<tr class="ro">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_CombinedProspectusTableNa', window );">Combined Prospectus Table N/A</a></td>
<td class="text">N/A<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityCentralIndexKey">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityCentralIndexKey</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>dei:centralIndexKeyItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_dei_EntityRegistrantName">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- Definition</a><div><p>The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ References</a><div style="display: none;"><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Exchange Act<br> -Number 240<br> -Section 12<br> -Subsection b-2<br></p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">dei_EntityRegistrantName</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>dei_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>xbrli:normalizedStringItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_CombinedProspectusTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_CombinedProspectusTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FeeExhibitTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FeeExhibitTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:feeExhibitTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FormTp">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_FormTp</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:submissionTypeItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OfferingTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OfferingTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_OffsetTableNa">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_OffsetTableNa</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:naItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_RegnFileNb">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
<tr><td><div class="body" style="padding: 2px;">
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>No definition available.</p></div>
<a href="javascript:void(0);" onclick="Show.toggleNext( this );">+ Details</a><div style="display: none;"><table border="0" cellpadding="0" cellspacing="0">
<tr>
<td><strong> Name:</strong></td>
<td style="white-space:nowrap;">ffd_RegnFileNb</td>
</tr>
<tr>
<td style="padding-right: 4px;white-space:nowrap;"><strong> Namespace Prefix:</strong></td>
<td>ffd_</td>
</tr>
<tr>
<td><strong> Data Type:</strong></td>
<td>ffd:fileNumberItemType</td>
</tr>
<tr>
<td><strong> Balance Type:</strong></td>
<td>na</td>
</tr>
<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
</tr>
</table></div>
</div></td></tr>
</table>
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_SubmissionLineItems">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
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