<SEC-DOCUMENT>0001193125-25-277254.txt : 20251112
<SEC-HEADER>0001193125-25-277254.hdr.sgml : 20251112
<ACCEPTANCE-DATETIME>20251112150106
ACCESSION NUMBER:		0001193125-25-277254
CONFORMED SUBMISSION TYPE:	424B2
PUBLIC DOCUMENT COUNT:		15
FILED AS OF DATE:		20251112
DATE AS OF CHANGE:		20251112

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:		251471991

	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:		251471992

	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-20251112.htm
<DESCRIPTION>424B2
<TEXT>
<!-- DFIN ActiveDisclosure (SM) HTML Document - http://www.dfinsolutions.com/ --><!-- Creation Date :2025-11-12T14:57:26.5085+00:00 --><!-- Copyright (c) 2025 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <div style="z-index:2;min-height:0.2in;position:relative;"><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)</font></p><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;">Registration Statement No. 333-284538</font></p><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:2pt;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:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><img src="img42160259_0.jpg" alt="img42160259_0.jpg" style="width:85px;height:85px;"></p></td>
     <td style="padding-top:0in;padding-left:0.007in;vertical-align:top;padding-bottom:0in;padding-right:0.007in;text-align:left;"><p style="font-size:14pt;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:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp.</font></p><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$638,000</font></p><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">Autocallable S&amp;P 500</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;Daily Risk Control 5% USD Excess Return Index-Linked Notes due 2028</font></p><p style="font-size:11pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">guaranteed by</font></p><p style="font-size:16pt;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:14pt;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-family:Arial;font-kerning:none;min-width:fit-content;">.</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:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes (CUSIP: 40058QQ36) do not bear interest.  </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will mature on the stated maturity date (November 10, 2028) unless they are automatically called on the call observation date (November 9, 2026). Your notes will be automatically called on the call observation date if the closing level of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index (Excess Return index) on such date is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial Excess Return index level of 177.76 (which is an intra-day level or the closing level of the index on the trade date (November 7, 2025)), resulting in a payment on the call payment date (November 13, 2026) for each $1,000 face amount of your notes equal to $1,085.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If your notes are </font><font style="color:#000000;white-space:pre-wrap;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> automatically called, the amount that you will be paid on your notes on the stated maturity date will be based on the performance of the index as measured from the trade date to and including the determination date (November 7, 2028).</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  </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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Excess Return index measures the return on a hypothetical investment in the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174; </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Daily Risk Control 5% USD Total Return Index (Risk Control index) borrowed at the Secured Overnight Financing Rate (SOFR) </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Any percentage increase in the Risk Control index will be offset by SOFR </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">plus </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">0.02963%.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Risk Control index provides exposure to the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index (Total Return index), subject to a daily risk control strategy that increases or decreases exposure to the Total Return index to target 5% volatility of the Risk Control index, based on the greater of short-term realized volatility and long-term realized volatility of the Total Return index. The methodology used measures variations in the historical daily returns of the Total Return index and places greater significance on the returns of days that are closer to the calculation date such that days closer to the calculation date have the majority of the impact on the volatility calculation. See page 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><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">.</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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If realized volatility is less than 5%, the Risk Control index&#x2019;s exposure to the Total Return index will be greater than 100% (up to 150%) by hypothetically borrowing cash at SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. If realized volatility is greater than 5%, the Risk Control index&#x2019;s exposure to the Total Return index will be less than 100% (and could be 0%) by reallocating exposure from the Total Return index to a hypothetical cash position that accrues interest at SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Typically, a portion of the Risk Control index&#x2019;s exposure has been to the hypothetical cash position.</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-weight:bold;font-size:9.5pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Risk Control index may decrease significantly more or increase significantly less than the Total Return index and there is no guarantee that the Risk Control index will achieve the 5% volatility target.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:9.5pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prior to December 20, 2021, the Excess Return index measured the return on a hypothetical investment in the Risk Control index borrowed at the overnight U.S. dollar LIBOR rate (LIBOR). Any percentage increase in the Risk Control index was offset by LIBOR. Further, prior to such date, with respect to the Risk Control index, if realized volatility was less than 5%, the Risk Control index&#x2019;s exposure to the Total Return index would have been greater than 100% (up to 150%) by hypothetically borrowing cash at LIBOR. If realized volatility was greater than 5%, the Risk Control index&#x2019;s exposure to the Total Return index would have been less than 100% (and could have been 0%) by reallocating exposure from the Total Return index to a hypothetical cash position that accrued interest at LIBOR. As a result, extremely limited historical information regarding the performance of the Excess Return index and the Risk Control index subsequent to their discontinued use of LIBOR is available, which may make it difficult for you to make an informed decision with respect to an investment in the notes.</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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the final Excess Return index level on the determination date is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial Excess Return index level, the return on your notes will be positive and will equal the index return.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the final Excess Return index level is </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">equal to</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">less than</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> the initial Excess Return index level, you will receive the face amount of 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="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If your notes are not automatically called on the call observation date, we will determine your payment at maturity by calculating the index return, which is the percentage increase or decrease in the final Excess Return index level from the initial Excess Return index level. At maturity, for each $1,000 face amount of your notes, you will receive an amount in cash equal to:</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;">&#x25cf;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the index return is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">positive </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">(the final Excess Return index level is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial Excess Return index level), the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;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:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> (ii) the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;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:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> (b) the index return; 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: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;">&#x25cf;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the index return is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">zero </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">negative</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> (the final Excess Return index level is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial Excess Return index level), $1,000.</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-weight:bold;font-size:10pt;font-family:Arial;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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">9</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">The estimated value of your</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">notes at the time the terms of your notes are set on the trade date is equal to approximately $967 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 the following page.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;"> </font></p>
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     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Original issue date:</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">November 13, 2025</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Original issue price:</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100% of the face amount</font></p></td>
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     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Underwriting discount:</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">0.75% of the face amount*</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Net proceeds to the issuer:</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">99.25% 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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* See &#x201c;Supplemental Plan of Distribution; Conflicts of Interest&#x201d; on page PS-25 for additional information regarding the fees comprising the underwriting discount.</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-weight:bold;font-size:10pt;font-family:Arial;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 prospectus.  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><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;">Goldman Sachs &amp; Co. LLC</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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Pricing Supplement No. 20,500 dated November 7, 2025.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;min-height:0.2in;justify-content:flex-end;position:relative;"><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:0.25in;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:Arial;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: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:Arial;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.  </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">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><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:Arial;font-kerning:none;min-width:fit-content;">&#160;</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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Estimated Value of Your Notes</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-family:Arial;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 $967 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 $33 per $1,000 face amount).</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-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">Prior to February 7, 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 from the time of pricing through February 6, 2026). On and after February 7, 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><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;"> </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:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;"><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">About Your Prospectus</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:Arial;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="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><div class="item-list-element-wrapper" style="margin-left:0.667%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.537%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.554035416226229%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">General terms supplement no. 17,744 dated October 20, 2025</font></a></div></div><div class="item-list-element-wrapper" style="margin-left:0.667%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.537%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.554035416226229%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525253852/spxt5ue_october_2025_sup.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">October 2025 S&amp;P 500</font><font style="color:#000000;top:-4.6899999999999995pt;white-space:pre-wrap;font-size:6.7pt;font-family:Arial;position:relative;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index supplement dated October 28, 2025</font></a></div></div><div class="item-list-element-wrapper" style="margin-left:0.667%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.537%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.554035416226229%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525211606/underlier_supplement_no.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier supplement no. 46 dated September 22, 2025</font></a></div></div><div class="item-list-element-wrapper" style="margin-left:0.667%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.537%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.554035416226229%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027380/d891153d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus supplement dated February 14, 2025</font></a></div></div><div class="item-list-element-wrapper" style="margin-left:0.667%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:0;min-width:2.537%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:2.554035416226229%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x2022;</font><div style="display:inline;"><a href="https://www.sec.gov/Archives/edgar/data/886982/000119312525027379/d860775d424b2.htm"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prospectus dated February 14, 2025</font></a></div></div><p style="font-size:12pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;"><font style="white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-family:Arial;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. 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:Arial;font-kerning:none;min-width:fit-content;"> </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-family:Arial;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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  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.5in;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;">2</font><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:2pt;text-align:center;" id="block_summaryinfo"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">TERMS AND CONDITIONS</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">CUSIP / ISIN:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> 40058QQ36 / US40058QQ366</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Company (Issuer):</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Guarantor:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> The Goldman Sachs Group, Inc.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174; </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Daily Risk Control 5% USD Excess Return Index (current Bloomberg symbol: &#x201c;SPXT5UE Index&#x201d;), or any successor underlier, as it may be modified, replaced or adjusted from time to time as provided herein</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Face amount: </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> $638,000 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><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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Authorized denominations:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> $1,000 or any integral multiple of $1,000 in excess thereof</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Principal amount:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Subject to redemption by the company as provided under &#x201c;&#x2014; Company&#x2019;s redemption right (automatic call feature)&#x201d; below, 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><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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Cash settlement amount</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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: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:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x25cf;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial underlier level, the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;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:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> (ii) the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;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:Arial;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:Arial;font-kerning:none;min-width:fit-content;">(b)</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the upside participation rate </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> (c) the underlier return; 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: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:3.333%;word-break:keep-all;display:inline-flex;justify-content:flex-start;">&#x25cf;</font><div style="display:inline;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">if the final underlier level is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial underlier level, $1,000</font></div></div><p style="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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Company&#x2019;s redemption right (automatic call feature):</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> if a redemption event occurs, then the outstanding face amount will be automatically redeemed in whole and the company will pay an amount in cash on the call payment date for each $1,000 of the outstanding face amount, equal to $1,085.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Redemption event:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> a redemption event will occur if, as measured on the call observation date, the closing level of the underlier is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial underlier level</font></p><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Initial underlier level: </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">177.76, which is an intra-day level or the closing level of the underlier on the trade date</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:left;" id="s175869918"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Final underlier level:  </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the closing level of the underlier on the determination date, subject to adjustment as provided in &#x201c;&#x2014; Consequences of a market disruption event or a non-trading day&#x201d; and &#x201c; &#x2014; Discontinuance or modification of the underlier&#x201d; below</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Upside participation rate</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">: 100%</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier return:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">quotient</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> of (i) the final underlier level </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">minus </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the initial underlier level </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">divided </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">by (ii) the initial underlier level, expressed as a percentage</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Trade date:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> November 7, 2025</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Original issue date: </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> November 13, 2025</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Determination date:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> November 7, 2028, unless the calculation agent determines that a market disruption event occurs or is continuing on such day or such day is not a trading day. In that event, the determination date will be the first following trading day on which the calculation agent determines that no market disruption event occurs or is continuing. In no event, however, will the determination date be postponed to a date later than the originally scheduled stated maturity date or, if the originally scheduled stated maturity date is not a business day, later than the first business day after the originally scheduled stated maturity date. If a market disruption event occurs or is continuing on the day that is the last possible determination date or such last possible day is not a trading day, that day will nevertheless be the determination date.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Stated maturity date:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> November 10, 2028, unless that day is not a business day, in which case the stated maturity date will be postponed to the next following business day. The stated maturity date will also be postponed if the determination date is postponed as described under &#x201c;&#x2014; Determination date&#x201d; above. In such a case, the stated maturity date will be postponed by the same number of business day(s) from but excluding the originally scheduled determination date to and including the actual determination date.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Call observation date:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> November 9, 2026, unless the calculation agent determines that a market disruption event occurs or is continuing on that day or that day is not otherwise a trading day. In that event, the call observation date will be the first following trading day on which the calculation agent determines that no market disruption event occurs or is continuing. In no event, however, will the call observation date be postponed to a date later than the originally scheduled call payment date or, if the originally scheduled call payment date is not a business day, later than the first business day after the originally scheduled call payment date.  On such last possible call observation date, if a market disruption event occurs or is continuing or if such last possible day is not a trading day, that day will nevertheless be the call observation date.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Call payment date:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  November 13, 2026, or, if such day is not a business day, the next succeeding business day. If the call observation date is postponed as described under &#x201c;&#x2014; Call observation date&#x201d; above, the call payment date will be postponed by the same number of business day(s) from but excluding the originally scheduled call observation date to and including the actual call observation date.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Closing level:  </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">for any given trading day, the official closing level of the underlier or any successor underlier published by the underlier sponsor on such trading day</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:left;" id="ole_link28"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Trading day:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font id="s175869936"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">a day on which the underlier sponsor is open for business and the underlier is calculated and published by the underlier sponsor</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Successor underlier:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> any substitute underlier approved by the calculation agent as a successor underlier as provided under &#x201c;&#x2014; Discontinuance or modification of the underlier&#x201d; below</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier sponsor:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> at any time, the person or entity, including any successor sponsor, that determines and publishes the underlier as then in effect. The notes are not sponsored, endorsed, sold or promoted by the underlier sponsor or any of its affiliates and the underlier sponsor and its affiliates make no representation regarding the advisability of investing in the notes.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Underlier stocks:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> at any time, the stocks that comprise the underlier as then in effect, after giving effect to any additions, deletions or substitutions</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Market disruption event:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> With respect to any given trading day, any of the following will be a market disruption event with respect to the underlier:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a suspension, absence or material limitation of trading in underlier stocks constituting 20% or more, by weight, of the underlier on their respective primary markets, in each case for more than two consecutive hours of trading or during the one-half hour before the close of trading in that market, as determined by the calculation agent in its sole discretion, </font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a suspension, absence or material limitation of trading in option or futures contracts relating to the underlier or to underlier stocks constituting 20% or more, by weight, of the underlier in the respective primary markets for those contracts, in each case for more than two consecutive hours of trading or during the one-half hour before the close of trading in that market, as determined by the calculation agent in its sole discretion, 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:5pt;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:Arial;font-kerning:none;min-width:fit-content;">underlier stocks constituting 20% or more, by weight, of the underlier, or option or futures contracts, if available, relating to the underlier or to underlier stocks constituting 20% or more, by weight, of the underlier do not trade on what were the respective primary markets for those underlier stocks or contracts, as determined by the calculation agent in its sole discretion,</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:Arial;font-kerning:none;min-width:fit-content;">and, in the case of any of these events, the calculation agent determines in its sole discretion that such event could materially interfere with the ability of the company or any of its affiliates or a similarly situated person to unwind all or a material portion of a hedge that could be effected with respect to this note.</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:Arial;font-kerning:none;min-width:fit-content;">The following events will not be market disruption events:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a limitation on the hours or numbers of days of trading, but only if the limitation results from an announced change in the regular business hours of the relevant market, and</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a decision to permanently discontinue trading in option or futures contracts relating to the underlier or to any underlier stock.</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:Arial;font-kerning:none;min-width:fit-content;">For this purpose, an &#x201c;absence of trading&#x201d; in the primary securities market on which an underlier stock is traded, or on which option or futures contracts relating to the underlier or an underlier stock are traded, will not include any time when that market is itself closed for trading under ordinary circumstances. In contrast, a suspension or limitation of trading in an underlier stock or in option or futures contracts, if available, relating to the underlier or an underlier stock in the primary market for that stock or those contracts, by reason of:</font></p><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a price change exceeding limits set by that market,</font></div></div><div class="item-list-element-wrapper" style="display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">an imbalance of orders relating to that underlier stock or those contracts, 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:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a disparity in bid and ask quotes relating to that underlier stock or those contracts,</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:Arial;font-kerning:none;min-width:fit-content;">will constitute a suspension or material limitation of trading in that stock or those contracts in that market.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Consequences of a market disruption event or a non-trading day: </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If a market disruption event occurs or is continuing on a day that would otherwise be the call observation date or the determination date, or such day is not a trading day, then the call observation date or the determination date will be postponed as described under &#x201c;&#x2014; Call observation date&#x201d; or &#x201c;&#x2014; Determination date&#x201d; above.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the calculation agent determines that the closing level of the underlier that must be used to determine the amount payable on the call payment date or the stated maturity date is not available on the last possible call observation date or the last possible determination date because of a market disruption event, a non-trading day or for any other reason (other than as described under &#x201c;&#x2014; Discontinuance or modification of the underlier&#x201d; below), the calculation agent will nevertheless determine the closing level of the underlier based on its assessment, made in its sole discretion, of the level of the underlier on that day.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Discontinuance or modification of the underlier: </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the underlier sponsor discontinues publication of the underlier and the underlier sponsor or any other person or entity publishes a substitute underlier that the calculation agent determines is comparable to the underlier and approves as a successor underlier, or if the calculation agent designates a substitute underlier, then the calculation agent will determine the amount payable on the call payment date or the stated maturity date by reference to such successor underlier.</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:Arial;font-kerning:none;min-width:fit-content;">If the calculation agent determines that the publication of the underlier is discontinued and there is no successor underlier, the calculation agent will determine the amount payable on the call payment date or the stated maturity date, as applicable, by a computation methodology that the calculation agent determines will as closely as reasonably possible replicate the underlier.</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:Arial;font-kerning:none;min-width:fit-content;">If the calculation agent determines that (i) the underlier, the underlier stocks or the method of calculating such underlier is changed at any time in any respect &#x2014; including any addition, deletion or substitution and any reweighting or rebalancing of such underlier or the underlier stocks and whether the change is made by the underlier sponsor under its existing policies or following a modification of those policies, is due to the publication of a successor underlier, is due to events affecting one or more of the underlier stocks or their issuers or is due to any other reason &#x2014; and is not otherwise reflected in the level of the underlier by the underlier sponsor pursuant to the then-current underlier methodology of the underlier or (ii) there has been a split or reverse split of the underlier, then the calculation agent will be permitted (but not required) to make such adjustments in the underlier or the method of its calculation as it believes are appropriate to ensure that the closing levels of the underlier used to determine the amount payable on the call payment date or the stated maturity date, as applicable, is equitable.</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:Arial;font-kerning:none;min-width:fit-content;">All determinations and adjustments to be made by the calculation agent with respect to the underlier may be made by the calculation agent in its sole discretion. The calculation agent is not obligated to make any such adjustments.</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Calculation agent:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  Goldman Sachs &amp; Co. LLC (&#x201c;GS&amp;Co.&#x201d;)</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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Overdue principal rate:</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> the effective Federal Funds rate</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-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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: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:0.69in;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;">5</font><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:2pt;text-align:center;" id="block_hypoexamples"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">HYPOTHETICAL EXAMPLES</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 the various hypothetical closing levels of the underlier on the call observation date and on the determination date could have on the amount of cash payable on the call payment date or on the stated maturity date, as the case may be, assuming all other variables remain constant.</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:Arial;font-kerning:none;min-width:fit-content;">The examples below are based on a range of underlier levels that are entirely hypothetical; no one can predict what the closing level of the underlier will be on any day throughout the life of your notes, and no one can predict what the closing level of the underlier will be on the call observation date or on the determination date.  The underlier has been highly volatile in the past &#x2014; meaning that the underlier level has changed considerably 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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 call payment date or the stated maturity date, as the case may be.  If you sell your notes in a secondary market prior to the call payment date or the stated maturity date, as the case may be, 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 underlier, 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:Arial;font-kerning:none;min-width:fit-content;">9</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> of this pricing supplement.  The information in the examples also reflects the key terms and assumptions in the box below.</font></p>
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     <td colspan="2" style="border-top:1pt solid #000000;padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Key Terms and Assumptions</font></p></td>
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     <td style="padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Face amount</font></p></td>
     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$1,000</font></p></td>
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     <td style="padding-top:0in;border-right:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;text-align:center;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:right;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">100%</font></p></td>
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     <td colspan="2" style="padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Neither a market disruption event nor a non-trading day occurs on the originally scheduled call observation date or the originally scheduled determination date</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-family:Arial;font-kerning:none;min-width:fit-content;">&#160;</font></p></td>
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     <td colspan="2" style="padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">No change in or affecting any of the underlier stocks or the method by which the underlier sponsor calculates the underlier</font></p></td>
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     <td colspan="2" style="padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">Notes purchased on original issue date at the face amount and held to the call payment date or the stated maturity date</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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;" id="ole_link5"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">For these reasons, the actual performance of the underlier </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">over the life of your notes, as well as the amount payable on the call payment date or at maturity, may bear little relation to the hypothetical examples shown below or to the historical underlier levels shown elsewhere in this pricing supplement.  For information about the historical levels of the underlier during recent periods, see &#x201c;The Underlier &#x2014; Historical Closing Levels of the Underlier</font><font id="ole_link18"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#x201d; below.  Before investing in the offered notes, you should consult publicly available information to determine the levels of the underlier between the date of this pricing supplement and the date of your purchase of the offered notes.</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-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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: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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:Arial;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 underlier stocks.</font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:4pt;text-align:left;" id="ole_link19"><font id="ole_link7"></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Payment on the Call Payment Date</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:Arial;font-kerning:none;min-width:fit-content;">The example below shows the hypothetical payment that we would pay on the call payment date with respect to each $1,000 face amount of the notes if the closing level of the underlier is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">or</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> the initial underlier level on the call observation date.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="ole_link24"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If your notes are automatically called on the call observation date </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">(i.e., on the call observation date the closing level of the underlier is </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> or </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">equal</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> to the initial underlier level), the amount in cash that </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">we would deliver for each $1,000 face amount of your notes on the call payment date would</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> be $1,085. If, for example, the closing level of the underlier on the call observation date were determined to be 130% of </font><font id="ole_link21"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the initial underlier level, your notes would be automatically called and the amount in cash that we would deliver on your notes on the call payment date would be 108.5% of the face amount of your notes or </font><font id="ole_link17"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">$1,085 for each $1,000 of the face amount of your notes</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font></p><p style="font-size:10pt;margin-top:6pt;font-family:Times New Roman;margin-bottom:6pt;text-align:left;" id="ole_link32"><font id="ole_link15"></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Payment at Maturity</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:left;" id="ole_link29"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If the notes</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">are </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> automatically called on the call observation date</font><font id="ole_link36"></font><font id="ole_link35"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> (i.e., on the call observation date the closing level of the underlier is less than the initial underlier level), the amount in cash we would deliver for each $1,000 face amount of your notes on the stated maturity date will depend on the performance of the underlier on the determination date, as shown in the table below. The table below assumes that</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> the notes have </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> been automatically called on the call observation date</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font id="ole_link16"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">and reflects hypothetical cash settlement amounts that you could receive on the stated maturity date. The levels in the left column of the table below represent hypothetical final underlier levels and are expressed as </font><font id="ole_link8"></font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">percentages of the initial underlier level.  The amounts in the right column represent the hypothetical cash settlement amounts, based on the corresponding hypothetical final underlier level, and are expressed as percentages of the face amount of a note (rounded to the nearest one-thousandth of a percent). Thus</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">, 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 </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">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 underlier level </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">and the assumptions noted above.</font></p>
   <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:3.5243055555555554in;box-sizing:content-box;"></td>
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     <td colspan="2" style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:0.5pt solid;padding-right:0.01in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;" id="ole_link14"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">The Notes Have </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-family:Arial;font-kerning:none;min-width:fit-content;">Not</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;Been Automatically Called</font></p></td>
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    <tr style="height:13.7pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.01in;"><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: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-family:Arial;font-kerning:none;min-width:fit-content;">Hypothetical Final Underlier Level</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:Arial;font-kerning:none;min-width:fit-content;">&#160;(as Percentage of Initial Underlier Level)</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:middle;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.01in;"><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: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-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">(as Percentage of Face Amount)</font></p></td>
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    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">200.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">200.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">175.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">175.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">150.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">150.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#ffffff;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">125.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">125.000%</font></p></td>
    </tr>
    <tr style="height:10pt;background-color:#bfbfbf;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;" id="ole_link10"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;" id="ole_link31"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">75.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">50.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:bottom;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
    </tr>
    <tr style="height:11.5pt;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">25.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
    </tr>
    <tr style="height:12.95pt;background-color:#c0c0c0;word-break:break-word;white-space:pre-wrap;text-align:left;">
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">0.000%</font></p></td>
     <td style="padding-top:0in;padding-left:0.01in;vertical-align:top;padding-bottom:0in;padding-right:0.01in;"><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:Arial;font-kerning:none;min-width:fit-content;">100.000%</font></p></td>
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   </table><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;" id="ole_link22"><font id="ole_link20"></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">If, for example,</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">the notes have </font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">not</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> been automatically called on the call observation date</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> and the final underlier level were determined to be 25.000% of the initial </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">underlier level, the cash settlement amount that we would deliver on your notes at maturity would be 100.000% 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:Arial;font-kerning:none;min-width:fit-content;"> As a result, if you purchased your notes on the original issue date at the face amount and held them to the stated maturity date, you would receive no return on your investment.</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-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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: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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The amounts shown above are entirely hypothetical; they are based on market prices for the underlier stocks that may not be achieved on the call observation date or the determination date, as the case may be, 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 amounts shown above, and these amounts should not be viewed as an indication of the financial return on an investment in the offered notes.  The hypothetical amounts on notes held to the stated maturity date in the examples above assume you purchased your notes at the 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:Arial;font-kerning:none;min-width:fit-content;">11</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;text-align:left;" id="ole_link33"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Payments on the </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">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 combination of an interest-bearing bond bought by the holder and one or more options entered into between the holder and us (with one or more implicit option premiums paid over time). 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:1pt solid #000000;padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.01in;"><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-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">We cannot predict the actual closing level of the underlier on the call observation date or the determination date or what the market value of your notes will be on any particular trading day, nor can we predict the relationship between the underlier level and the market value of your notes at any time prior to the stated maturity date. The actual amount that you will receive on the call payment date or the maturity date and the rate of return on the offered notes will depend on whether the notes are called and the actual final underlier level 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 call payment date or 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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:2pt;text-align:center;" id="block_additionalriskfactors"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">ADDITIONAL RISK FACTORS SPECIFIC TO YOUR NOTES</font></p>
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     <td style="border-top:1pt solid #000000;padding-top:0in;border-right:1pt solid #000000;border-left:1pt solid #000000;padding-left:0.01in;vertical-align:top;padding-bottom:0in;border-bottom:1pt solid #000000;padding-right:0.01in;"><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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, under &#x201c;Additional Risk Factors Specific to the Securities&#x201d; in the accompanying underlier supplement no. 46 and under &#x201c;Additional Risk Factors Specific to the Notes&#x201d; in the accompanying general terms supplement no. 17,744. 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, the accompanying underlier supplement no. 46 and the accompanying general terms supplement no. 17,744. Your notes are a riskier investment than ordinary debt securities. Also, your notes are not equivalent to investing directly in the underlier stocks, i.e., the stocks comprising the underlier to which your notes are linked. You should carefully consider whether the offered notes are appropriate given your particular circumstances.</font></p></td>
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   </table><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Structure, Valuation and Secondary Market Sales</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;" id="block_block_riskloss"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">&#x201d;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">; 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</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">,</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> 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 hereof 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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">   </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:Arial;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><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  </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:Arial;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></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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;Additional Risk Factors Specific to the Notes &#x2014; Your Notes May Not Have an Active Trading Market&#x201d; on page S-7 of the accompanying general terms supplement no. 17,744.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Notes Are Subject to the Credit Risk of the Issuer and the Guarantor</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Although the return on the notes will be based on the performance of the underlier, 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 &#x2013; Guarantee by The Goldman Sachs Group, Inc.&#x201d; on page 65 of the accompanying prospectus.</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:Arial;font-kerning:none;min-width:fit-content;">You May Receive Only the Face Amount of Your Notes at Maturity</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:Arial;font-kerning:none;min-width:fit-content;">If the underlier return is zero or negative on the determination date, the return on your notes will be limited to the face amount.</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:Arial;font-kerning:none;min-width:fit-content;">Even if the amount paid on your notes at maturity 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 note with the same stated maturity that bears interest at the prevailing market rate.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Amount You Will Receive on the Call Payment Date or on the Stated Maturity Date is Not Linked to the Closing Level of the Underlier at Any Time Other Than on the Call Observation Date or the Determination Date, as the Case May Be</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The amount in cash you will receive on the call payment date, if any, will be paid only if the closing level of the underlier on the call observation date is greater than or equal to the initial underlier level.  Therefore, the closing level of the underlier on dates other than the call observation date will have no effect on any amount paid in respect of your notes on the call payment date. In addition, the cash settlement amount you will receive on the stated maturity date will be based on the closing level of the underlier on the determination date. Therefore, for example, if the closing level of the underlier dropped precipitously on the determination date, the cash settlement amount for the notes would be significantly less than it would otherwise have been had the cash settlement amount been linked to the closing level of the underlier prior to such drop. Although the actual closing level of the underlier on the call payment date, stated maturity date or at other times during the life of the notes may be higher than the closing level of the underlier on the call observation date or the determination date, you will not benefit from the closing levels of the underlier at any time other than on the call observation date or on the determination date.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Amount You Will Receive on the Call Payment Date Will Be Capped</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Regardless of the closing level of the underlier on the call observation date, the amount in cash you may receive on the call payment date is capped. Even if the closing level of the underlier on the call observation date exceeds the initial underlier level, causing the notes to be automatically called, the amount in cash payable on the call payment date will be capped, and you will not benefit from any increases in the closing level of the underlier above the initial underlier level on the call observation date. If your notes are automatically called on the call observation date, the maximum payment you will receive for each $1,000 face amount of your notes will be $1,085.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Are Subject to Automatic Redemption</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">We will automatically call and redeem all, but not part, of your notes on the call payment date, if the closing level of the underlier on the call observation date is greater than or equal to the initial underlier level. Therefore, the term for your notes may be reduced. You may not be able to reinvest the proceeds from an investment in the notes at a comparable return for a similar level of risk in the event the notes are called prior to maturity. For the avoidance of doubt, if your notes are automatically called, no discounts, commissions or fees described herein will be rebated or reduced.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Your Notes Do Not Bear Interest</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 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>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;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:Arial;font-kerning:none;min-width:fit-content;">You Have No Rights in Any Futures Contract Tracked by the Underlier</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:Arial;font-kerning:none;min-width:fit-content;">Investing in your notes will not make you a holder of any futures contract tracked by the underlier. Neither you nor any other holder or owner of your notes will have any rights with respect to the futures contracts tracked by the underlier, including any rights of a holder of the futures contracts. Your notes will be paid in cash and you will  have no right to receive delivery of any futures contract tracked by the underlier.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">You Have No Shareholder Rights or Rights to Receive Any Underlier Stock</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Investing in your notes will not make you a holder of any of the underlier stocks.  Neither you nor any other holder or owner of your notes will have any rights with respect to the underlier stocks, including any voting rights, any rights to receive dividends or other distributions, any rights to make a claim against  the underlier stocks or any other rights of a holder of the underlier stocks.  Your notes will be paid in cash and you will have no right to receive delivery of any underlier stocks.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">We May Sell an Additional Aggregate Face Amount of the Notes at a Different Issue Price</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 original 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:center;" id="unpredictable"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Market Value of Your Notes May Be Influenced by Many Unpredictable Factors</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:Arial;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, will influence the market value of your notes, including:</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:Arial;font-kerning:none;min-width:fit-content;">the level of the underlier;</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:Arial;font-kerning:none;min-width:fit-content;">the volatility &#x2013; i.e., the frequency and magnitude of changes &#x2013; in the closing level of the underlier;</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:Arial;font-kerning:none;min-width:fit-content;">the dividend rates of the underlier stocks;</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:Arial;font-kerning:none;min-width:fit-content;">economic, financial, regulatory, political, military, public health and other events that affect stock markets generally and the underlier stocks, and which may affect the closing level of the underlier;</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:Arial;font-kerning:none;min-width:fit-content;">interest rates and yield rates in the market;</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:Arial;font-kerning:none;min-width:fit-content;">the time remaining until your notes mature; and</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:Arial;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></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:Arial;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:6pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">These factors may influence the market value of your notes 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 prior to maturity, you may receive less than the face amount of your notes. You cannot predict the future performance of the underlier based on its historical performance.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:2pt;text-align:center;" id="block_riskfactorpremium"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The amount in cash that you may be paid on your notes on the call payment date or 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 call payment date or 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 call payment date or 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></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Additional Risks Related to the Underlier</font></p><p style="font-size:10pt;margin-top:1pt;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:Arial;font-kerning:none;min-width:fit-content;">Notwithstanding That the Title of the Underlier Includes the Phrase &#x201c;Risk Control,&#x201d; the Underlier May Decrease Significantly More or Increase Significantly Less Than the Total Return Index</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:Arial;font-kerning:none;min-width:fit-content;">The underlier, through the Risk Control index, is intended to provide investors with exposure to the Total Return index subject to a risk control strategy that dynamically increases or decreases the exposure to the Total Return index in an attempt to achieve a 5% volatility target. The Risk Control index&#x2019;s exposure to the Total Return index can be greater than, less than or equal to 100%. The performance of the underlier is not taken into account when implementing the risk control strategy and could result in leveraged exposure to the Total Return index in a falling stock market or deleveraged exposure to the Total Return index in a rising stock market. Additionally, the underlier is the excess return version of the Risk Control index. As an excess return underlier, the underlier is designed to measure the return on a hypothetical investment in the Risk Control index that is made with hypothetically borrowed funds. Borrowing costs for these funds are assessed at a rate of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> 0.02963%. Any positive performance of the Risk Control index will be offset by such hypothetical borrowing costs. Therefore, although the title of the underlier includes the phrase &#x201c;Risk Control,&#x201d; the underlier may decrease significantly more or increase significantly less than the Total Return index and your notes are not necessarily less risky than, and will not necessarily have better returns than, notes linked to the Total Return index. See &#x201c;Comparative Performance of the Excess Return Index, the Risk Control Index and the Total Return Index&#x201d; below for a comparison of the historical performance of the underlier relative to the Risk Control index and the Total Return index.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Return on Your Notes is Based on an Underlier That Reflects Excess Return; There Are Borrowing Costs at the Underlier Level</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The underlier is the excess return version of the Risk Control index, meaning that it is designed to measure the return on a hypothetical investment in the Risk Control index that is made with hypothetically borrowed funds. Borrowing costs for these funds are assessed at a rate of SOFR plus 0.02963%. Such costs will reduce any positive performance of the Risk Control index (and, thereby, the underlier) and will increase any negative performance of the Risk Control index (and, thereby, the underlier). In order to receive a positive return on your notes, the return of the index must exceed the borrowing costs at the index level. Because the return of the underlier is equal to the return of the Risk Control index minus borrowing costs, the return of the underlier will always be less than the return of the Risk Control index. See &#x201c;Comparative Performance of the Excess Return Index, the Risk Control Index and the Total Return index&#x201d; below for a comparison of the historical performance of the underlier relative to the Risk Control index and the Total Return index.</font></p><p style="font-size:10pt;margin-top:6pt;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:Arial;font-kerning:none;min-width:fit-content;">There Is No Assurance that Calculating Realized Volatility as the Greater of Short-Term Volatility and Long-Term Volatility Is the Best Way to Measure Realized Volatility</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:Arial;font-kerning:none;min-width:fit-content;">With regard to the Risk Control index, &#x201c;realized volatility&#x201d; is a measurement of variations in the historical daily returns of the Total Return index from the day that is two Risk Control index calculation days before the inception date (September 10, 2009) of the Risk Control index to the day that is two Risk Control index calculation days before the current Risk Control index calculation day. As a result, the measurement period for realized volatility will always have the same start date and will continue to get longer with each new Risk Control Index calculation day. Realized volatility is calculated as the greater of short-term volatility and long-term volatility. When the volatility of the Total Return index increases (or decreases), short-term volatility will increase (or decrease) more quickly than long-term volatility. Because realized volatility is the greater of short-term volatility and long-term volatility, realized volatility will increase quickly when volatility increases, which will quickly reduce exposure to the Total Return index. Conversely, because realized volatility is the greater of short-term volatility and long-term volatility, realized volatility will decrease slowly when volatility decreases, which in turn will gradually increase exposure to the Total Return index. There is no assurance that calculating realized volatility as the greater of short-term volatility and long-term volatility or using a measurement period with a set start date that continues to get longer with each new Risk Control index calculation day is the best way to measure realized volatility. It is possible that exclusively relying on short-term volatility or long-term volatility or on the lesser of short-term volatility and long-term volatility is a more reliable way to measure realized volatility.</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:Arial;font-kerning:none;min-width:fit-content;">The Underlier Will Not Reflect the Most Current Volatility of the Total Return Index</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:Arial;font-kerning:none;min-width:fit-content;">The Risk Control index is rebalanced using a leverage factor at the close of each Risk Control index calculation day in order to adjust its exposure to the Total Return index based on the applicable realized volatility. Although the Risk Control index is rebalanced at the close of each Risk Control index calculation day, because of how the leverage factor is calculated, there is a lag of two Risk Control index calculation days between the calculation of the leverage factor and the rebalancing of the Risk Control index in accordance with that leverage factor. Therefore, on any given Risk Control index calculation day, the leverage factor that determines the Risk Control index&#x2019;s exposure to the Total Return index for such Risk Control index calculation day will be based on the realized volatility of the Total Return index from two Risk Control index calculation days prior. Due to this two-day lag and the fact that realized volatility can fluctuate significantly during this period, and even during a single day, the Risk Control index will not be rebalanced to reflect (and therefore the underlier will not reflect) the realized volatility of the Total Return index as of the rebalancing day and will not have an actual volatility of 5%. As a result, if there is a rapid and severe decline in the level of the Total Return index, due to the two-day lag, the Risk Control index may not rebalance into the hypothetical cash position until the underlier has declined by a substantial amount.</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:Arial;font-kerning:none;min-width:fit-content;">There Is No Guarantee that the Underlier Will Achieve the 5% Volatility Target</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:Arial;font-kerning:none;min-width:fit-content;">The exposure of the Risk Control index (and therefore the underlier) to the Total Return index is subject to a maximum leverage factor of 150%, which may limit the ability of the Risk Control index (and therefore the underlier) to fully achieve a volatility target of 5% if achieving such volatility target would require a leverage factor in excess of 150%. Therefore, there is no guarantee that the Risk Control index (and therefore the underlier) will achieve the 5% volatility target.</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:Arial;font-kerning:none;min-width:fit-content;">You May be Exposed to Borrowing Costs at the Risk Control Index Level</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-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The exposure of the Risk Control index to the Total Return index can be greater than, less than or equal to 100%. Exposure in excess of 100% (i.e., leverage) is achieved by hypothetically borrowing cash at a rate of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> 0.02963% for the exposure above 100%. As leverage increases, borrowing costs increase.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:Arial;font-kerning:none;min-width:fit-content;">The cost of borrowing is ignored when determining leverage above 100% (subject to a maximum leverage factor of 150%), even if a prudent investor would choose not to borrow money to invest in the Total Return index at such time. The cost of borrowing may exceed the returns from the Total Return index if the return of the Total Return index decreases or if the rate of the SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> 0.02963%</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">increases (or both).</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:Arial;font-kerning:none;min-width:fit-content;">Controlled Volatility Does Not Mean the Underlier Will Have Lower Volatility than the Total Return Index</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:Arial;font-kerning:none;min-width:fit-content;">The underlier, through the Risk Control index, employs a risk-control strategy that uses mathematical equations to target 5% volatility. The strategy does not have a goal of achieving lower volatility than the Total Return index. In fact, if the realized volatility of the Total Return index is less than the volatility target of 5%, the exposure to the Total Return index will be increased in an attempt to raise the volatility of the Risk Control index to 5%. Any time the exposure to the Total Return index is greater than 100%, the Risk Control index would be more volatile than the Total Return index.</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:Arial;font-kerning:none;min-width:fit-content;">Low Volatility Does Not Necessarily Mean the Risk Control Index Will Outperform the Total Return Index or that the Underlier Will Have Positive Performance</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:Arial;font-kerning:none;min-width:fit-content;">The underlier, through the Risk Control index, employs a risk-control strategy that uses mathematical equations to target 5% volatility. Even if the Risk Control index achieves its 5% volatility target, there is no guarantee that the Risk Control index will outperform the Total Return index or that the underlier return will be positive. For example, if the performance of the Total Return index remains stable or steadily decreases over time, the 5% volatility target will not cause the Risk Control index to outperform the Total Return index or result in a positive Risk Control index return. Moreover, the underlier return will be less than the Risk Control index return due to its excess return feature and the borrowing costs thereof. See &#x201c;Comparative Performance of the Excess Return Index, the Risk Control Index and the Total Return index&#x201d; below for a comparison of the historical performance of the underlier relative to the Risk Control index and the Total Return index.</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:Arial;font-kerning:none;min-width:fit-content;">There May Be Overexposure to the Total Return Index in Falling Stock Markets or Underexposure in Rising Stock Markets</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:Arial;font-kerning:none;min-width:fit-content;">The underlier, through the Risk Control index, is designed to achieve a volatility target of 5% regardless of the direction of price movements in the market. Therefore, in rising stock markets if realized volatility is higher than the volatility target, some of the Risk Control index&#x2019;s exposure (and therefore the underlier&#x2019;s exposure) will be moved from the Total Return index to the hypothetical cash position, and the Risk Control index (and therefore the underlier) will experience lower returns than if the full exposure was maintained in the Total Return index. In contrast, if realized volatility is less than the volatility target in a falling stock market, the Risk Control index (and therefore the underlier) will be exposed to more than 100% of the losses in the Total Return index and the Risk Control index (and therefore the underlier) will experience lower returns than the Total Return index. The hypothetical cash position has represented a very significant portion of the Risk Control index in the past. Any rebalancing into a hypothetical cash position will limit your return on the notes.</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:Arial;font-kerning:none;min-width:fit-content;">The Exposure to the Total Return Index May Be Rebalanced into a Hypothetical Cash Position on Any or All Days During the Term of 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:Arial;font-kerning:none;min-width:fit-content;">The underlier, through the Risk Control index, has a daily rebalancing feature which can result in a rebalancing between the exposure to the Total Return index and the hypothetical cash position. This could have the effect of reducing the exposure of the Total Return index to less than 100% in an attempt to reduce the volatility to 5%. The minimum leverage factor is 0%. Therefore, there is no guarantee that the Risk Control index will not be rebalanced so that the hypothetical cash position represents a significant portion of the Risk Control index (up to 100% of the underlier). Any rebalancing into a hypothetical cash position will limit your return on the notes.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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="historicallevelsofovernight"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">Typically, a portion of the Risk Control index&#x2019;s exposure has been to the hypothetical cash position.</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:Arial;font-kerning:none;min-width:fit-content;">On December 20, 2021, Each of the Underlier and the Risk Control Index Discontinued Its Use of Overnight U.S. Dollar LIBOR For All Purposes and Replaced Such Rate</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:Arial;font-kerning:none;min-width:fit-content;">On December 20, 2021, the underlier discontinued use of overnight U.S. dollar LIBOR for all purposes and replaced such rate with SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Therefore, beginning on such date, the underlier measures the return on a hypothetical investment in the Risk Control index that is made with hypothetically borrowed funds at costs assessed at a rate of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Further, from such date, if the Risk Control index increases its exposure to the Total Return index to more than 100% to achieve the 5% volatility target, such exposure will be achieved by hypothetically borrowing cash at a rate of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. If the Risk Control index decreases its exposure to the Total Return index to less than 100% to achieve the 5% volatility target, such exposure will be achieved by hypothetically selling some of the exposure to the Total Return index, which results in a hypothetical cash position that accrues interest at SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Replacement of overnight U.S. dollar LIBOR with SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963% could potentially result in higher borrowing costs being deducted from the return of the Risk Control Index. See &#x201c;The Underlier&#x201d; below. As discussed above under &#x201c;&#x2014; The Return on Your Notes is Based on an Underlier That Reflects Excess Return and Will Be Reduced By Borrowing Costs at the Underlier Level&#x201d;, increases in the borrowing costs will offset any positive performance of the Risk Control index (and, thereby, the underlier) and will increase any negative performance of the Risk Control index (and, thereby, the underlier). As a result, the use of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963% may adversely affect the performance of the underlier and the Risk Control Index and could reduce the amount payable in respect 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:Arial;font-kerning:none;min-width:fit-content;">Historical information regarding the performance of the underlier and the Risk Control index as of any date, or for any period, prior to December 20, 2021 was during a period in which the underlier and the Risk Control index used overnight U.S. dollar LIBOR instead of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Extremely limited historical information regarding the performance of the underlier and the Risk Control index subsequent to their discontinued use of overnight U.S. dollar LIBOR is available, which may make it difficult for you to make an informed decision with respect to the notes.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:center;" id="liborupdates"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The Historical Levels of SOFR Are Not an Indication of the Future Levels of SOFR</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:Arial;font-kerning:none;min-width:fit-content;">In the past, the level of SOFR has experienced significant fluctuations. You should note that historical levels, fluctuations and trends of SOFR are not necessarily indicative of future levels. Any historical upward or downward trend in SOFR is not an indication that SOFR is more or less likely to increase or decrease at any time, and you should not take the historical levels of SOFR as an indication of its future performance.</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:Arial;font-kerning:none;min-width:fit-content;">Certain Risks Related to SOFR</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:Arial;font-kerning:none;min-width:fit-content;">On June 22, 2017, the Alternative Reference Rates Committee (&#x201c;ARRC&#x201d;) convened by the Board of Governors of the Federal Reserve System and the Federal Reserve Bank of New York identified SOFR, a broad U.S. treasuries repurchase financing rate to be published by the Federal Reserve Bank of New York, as the rate that, in the consensus view of the ARRC, represented best practice for use in certain new U.S. dollar derivatives and other financial contracts. SOFR is a broad measure of the cost of borrowing cash overnight collateralized by U.S. treasury securities and has been published by the Federal Reserve Bank of New York since April 2018. The Federal Reserve Bank of New York has also published historical indicative Secured Overnight Financing Rates going back to 2014. Investors should not rely on any historical changes or trends in SOFR as an indicator of future changes in SOFR.</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:Arial;font-kerning:none;min-width:fit-content;">Because SOFR is published by the Federal Reserve Bank of New York based on data received from other sources, we have no control over its determination, calculation or publication. The Federal Reserve Bank of New York notes on its publication page for SOFR that use of SOFR is subject to important limitations and disclaimers, including that the Federal Reserve Bank of New York may alter the methods of calculation, publication schedule, rate revision practices or availability of SOFR at any time without notice. There can be no guarantee, particularly given its relatively recent introduction, that SOFR will not be discontinued or fundamentally altered in a manner that is materially adverse to the interests of investors in the notes.  If the manner in which SOFR is calculated is changed, that change may result in a reduction of the levels of the underlier and the Risk Control Index and, therefore, the amount payable on your notes and the trading prices of such notes. In addition, the Federal Reserve Bank of New York may withdraw, modify or amend published SOFR data in its sole discretion and without notice.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">Additionally, daily changes in SOFR have, on occasion, been more volatile than daily changes in other benchmark or market rates. The return on and value of your notes may fluctuate more than if the underlier and the Risk Control Index used a less volatile rate. In addition, the volatility of SOFR has reflected the underlying volatility of the overnight U.S. Treasury repo market. The Federal Reserve Bank of New York has at times conducted operations in the overnight U.S. Treasury repo market in order to help maintain the federal funds rate within a target range. There can be no assurance that the Federal Reserve Bank of New York will continue to conduct such operations in the future, and the duration and extent of any such operations is inherently uncertain. The effect of any such operations, or of the cessation of such operations to the extent they are commenced, is uncertain and could be materially adverse to the levels of the underlier and the Risk Control Index and, therefore, the amount payable on your notes.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;text-decoration:underline solid;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Risks Related to Tax</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:Arial;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></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:Arial;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 generally 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, redemption 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><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:Arial;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></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:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> </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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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="block_underlier"><font id="theunderlier"></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">THE UNDERLIER</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:Arial;font-kerning:none;min-width:fit-content;">The S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:6.5pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Daily Risk Control 5% USD Excess Return Index (the &#x201c;Excess Return index&#x201d;) is the excess return version of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index (the &#x201c;Risk Control index&#x201d;), meaning that the Excess Return index is designed to measure the return on a hypothetical investment in the Risk Control index borrowed at a rate of the Secured Overnight Financing Rate (SOFR) </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Any percentage increase in the Risk Control index will be offset by a rate of SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prior to December 20, 2021, the Excess Return index measured the return on a hypothetical investment in the Risk Control index borrowed at the overnight U.S. dollar LIBOR rate.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">The Risk Control index is intended to provide investors with exposure to the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174; </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Total Return Index (the &#x201c;Total Return index&#x201d;) subject to a risk control strategy that dynamically increases or decreases the exposure to the Total Return index in an attempt to achieve a 5% volatility target.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Prior to December 20, 2021, the Risk Control index&#x2019;s exposure in excess of 100% was achieved by hypothetically borrowing cash at a rate of overnight U.S. dollar LIBOR. Exposure of less than 100% was achieved by hypothetically selling some of the exposure to the Total Return index, which resulted in a hypothetical cash position that accrued interest at the overnight U.S. dollar LIBOR rate.</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">As a result, extremely limited historical information regarding the performance of the Excess Return Index and the Risk Control index subsequent to their discontinued use of overnight U.S. dollar LIBOR is available, which may make it difficult for you to make an informed decision with respect to an investment in 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:Arial;font-kerning:none;min-width:fit-content;">The Total Return index is a total return-based calculation of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index. The S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index includes a representative sample of 500 leading companies in leading industries of the U.S. economy.</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:Arial;font-kerning:none;min-width:fit-content;">For more details about the Excess Return index, the underlier sponsor and license agreement between the underlier sponsor and the issuer, see &#x201c;The Underliers &#x2014; S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index&#x201d; on page S-113 of the accompanying underlier supplement no. 46. Also, see the accompanying October 2025 S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index 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-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;">License Agreement between S&amp;P and GS Finance Corp.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;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:Arial;font-kerning:none;min-width:fit-content;">The S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index and the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index are products of S&amp;P Dow Jones Indices LLC, and have been licensed for use by GS Finance Corp. (&#x201c;Goldman&#x201d;). Standard &amp; Poor&#x2019;s</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> and S&amp;P</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> are registered trademarks of Standard &amp; Poor&#x2019;s Financial Services LLC; Dow Jones</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> is a registered trademark of Dow Jones Trademark Holdings LLC (&#x201c;Dow Jones&#x201d;) and these trademarks have been licensed for use by S&amp;P Dow Jones Indices LLC and sublicensed for certain purposes by Goldman. Goldman&#x2019;s notes are not sponsored, endorsed, sold or promoted by S&amp;P Dow Jones Indices LLC, Dow Jones, Standard &amp; Poor&#x2019;s Financial Services LLC or any of their respective affiliates (collectively, &#x201c;S&amp;P Dow Jones Indices&#x201d;). S&amp;P Dow Jones Indices makes no representation or warranty, express or implied, to the owners of the notes or any member of the public regarding the advisability of investing in securities generally or in the notes particularly or the ability of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index or the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index to track general market performance. S&amp;P Dow Jones Indices&#x2019; only relationship to Goldman with respect to the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index and the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index is the licensing of these indices and certain trademarks, service marks and/or trade names of S&amp;P Dow Jones Indices and/or its licensors. The S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index and the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index are determined, composed and calculated by S&amp;P Dow Jones Indices without regard to Goldman or the notes. S&amp;P Dow Jones Indices have no obligation to take the needs of Goldman or the owners of the notes into consideration in determining, composing or calculating the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index or the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index. S&amp;P Dow Jones Indices are not responsible for and have not participated in the determination of the prices, and amount of the notes or the timing of the issuance or sale of the notes or in the determination or calculation of the equation by which the notes are to be converted into cash. S&amp;P Dow Jones Indices have no obligation or liability in connection with the administration, marketing or trading of the notes. There is no assurance that investment products based on the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Total Return Index, the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Total Return Index or the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Index will accurately track index performance or provide positive investment returns. S&amp;P Dow Jones Indices LLC is not an investment advisor. Inclusion of a security within an index is not a recommendation by S&amp;P Dow Jones Indices to buy, sell, or hold such security, nor is it considered to be investment advice.</font></p></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:2pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">S&amp;P DOW JONES INDICES DOES NOT GUARANTEE THE ADEQUACY, ACCURACY, TIMELINESS AND/OR THE COMPLETENESS OF THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> DAILY RISK CONTROL 5% USD EXCESS RETURN INDEX, THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> DAILY RISK CONTROL 5% USD TOTAL RETURN INDEX, THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> TOTAL RETURN INDEX OR THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> INDEX OR ANY DATA RELATED THERETO OR ANY COMMUNICATION, INCLUDING BUT NOT LIMITED TO ORAL OR WRITTEN COMMUNICATION (INCLUDING ELECTRONIC COMMUNICATIONS) WITH RESPECT THERETO. S&amp;P DOW JONES INDICES SHALL NOT BE SUBJECT TO ANY DAMAGES OR LIABILITY FOR ANY ERRORS, OMISSIONS, OR DELAYS THEREIN. S&amp;P DOW JONES INDICES MAKE NO EXPRESS OR IMPLIED WARRANTIES, AND EXPRESSLY DISCLAIMS ALL WARRANTIES, OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE OR USE OR AS TO RESULTS TO BE OBTAINED BY GOLDMAN, OWNERS OF THE NOTES, OR ANY OTHER PERSON OR ENTITY FROM THE USE OF THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> DAILY RISK CONTROL 5% USD EXCESS RETURN INDEX, THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> DAILY RISK CONTROL 5% USD TOTAL RETURN INDEX, THE S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> TOTAL RETURN INDEX OR S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;vertical-align:super;font-size:6.7pt;font-family:Arial;font-kerning:none;min-width:fit-content;">&#174;</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> INDEX OR WITH RESPECT TO ANY DATA RELATED THERETO. WITHOUT LIMITING ANY OF THE FOREGOING, IN NO EVENT WHATSOEVER SHALL S&amp;P DOW JONES INDICES BE LIABLE FOR ANY INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE, OR CONSEQUENTIAL DAMAGES, INCLUDING BUT NOT LIMITED TO LOSS OF PROFITS, TRADING LOSSES, LOST TIME OR GOODWILL, EVEN IF THEY HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES, WHETHER IN CONTRACT, TORT, STRICT LIABILITY, OR OTHERWISE. THERE ARE NO THIRD PARTY BENEFICIARIES OF ANY AGREEMENTS OR ARRANGEMENTS BETWEEN S&amp;P DOW JONES INDICES AND GOLDMAN, OTHER THAN THE LICENSORS OF S&amp;P DOW JONES INDICES.</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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </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: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:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Closing Levels of the Excess Return Index</font></p><p style="font-size:10pt;margin-top:3pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The closing level of the Excess Return index has 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:Arial;font-kerning:none;min-width:fit-content;">In particular, the Excess Return index has recently experienced extreme and unusual volatility.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Any historical upward or downward trend in the closing level of the Excess Return index during the period shown below is not an indication that the Excess Return index 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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">You should not take the historical closing levels of the Excess Return index as an indication of the future performance of the Excess Return index, including because of the recent volatility described above.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">  We cannot give you any assurance that the future performance of the Excess Return index or the Excess Return index stocks 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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 Excess Return index.  Before investing in the offered notes, you should consult publicly available information to determine the levels of the Excess Return index 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:Arial;font-kerning:none;min-width:fit-content;"> and, given the recent volatility described above, you should pay particular attention to recent levels of the Excess Return index</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">. The actual performance of the Excess Return index over the life of the offered notes, as well as the amount payable on your notes, may bear little relation to the historical levels shown below.</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:Arial;font-kerning:none;min-width:fit-content;">The graph below shows the daily historical closing levels of the Excess Return index from January 1, 2020 through November 7, 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 equity securities and, as a result, the level of most equity indices. We obtained the closing levels 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:2pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Historical Performance of the S&amp;P 500</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;vertical-align:super;font-size:6.7pt;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:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> Daily Risk Control 5% USD Excess Return Index*</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42160259_1.jpg" alt="img42160259_1.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="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* Index data reflects the Excess Return index&#x2019;s use of overnight U.S. dollar LIBOR prior to December 20, 2021. The Excess Return index discontinued use of overnight U.S. dollar LIBOR for all purposes on December 20, 2021 and replaced such rate with SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Therefore, extremely limited information regarding the performance of the Excess Return index subsequent to its discontinued use of overnight U.S. dollar LIBOR is available, which may make it difficult for you to make an informed decision with respect to an investment in the notes.  In the graph, closing levels to the left of the vertical solid line marker reflect the historical closing levels of the underlier before the Excess Return index discontinued use of overnight U.S. dollar LIBOR on December 20, 2021. Closing levels to the right of the vertical solid line marker reflect the historical closing levels of the underlier after the Excess Return index discontinued use of overnight U.S. dollar LIBOR on December 20, 2021.</font><font style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;white-space:pre-wrap;font-size:12pt;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:0.69in;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><font style="color:#000000;white-space:pre-wrap;font-size:7pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"> </font></p></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">Comparative Performance of the Excess Return Index, the Risk Control Index and the Total Return Index</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:Arial;font-kerning:none;min-width:fit-content;">The graph below shows the performance of the Excess Return index, the Risk Control index and the Total Return index from January 1, 2020 through November 7, 2025. For comparative purposes, each of the Excess Return index, the Risk Control index and the Total Return index has been adjusted to have a closing level of 100.00 on January 1, 2020 by dividing the closing level of that underlier on each day by the closing level of that Risk Control index on January 1, 2020 and multiplying by 100.00. We obtained the closing levels used to determine the adjusted closing levels in the graph below from Bloomberg Financial Services, without independent verification. You should not take the historical performance of the Excess Return index, the Risk Control index or the Total Return index as an indication of the future performance of such underlier.</font></p><p style="font-size:10pt;margin-top:1pt;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:Arial;font-kerning:none;min-width:fit-content;">Historical Performance of the Excess Return Index (SPXT5UE Index), the Risk Control Index (SPXT5UT Index) and the Total Return Index (SPTR Index)*</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:0;text-align:center;"><img src="img42160259_2.jpg" alt="img42160259_2.jpg" style="width:672px;height:224px;"></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-size:9pt;font-family:Arial;font-kerning:none;min-width:fit-content;">* Underlier data reflects the Excess Return index and the Risk Control index&#x2019;s use of overnight U.S. dollar LIBOR prior to December 20, 2021. Each of the Excess Return index and the Risk Control index discontinued use of overnight U.S. dollar LIBOR for all purposes on December 20, 2021 and replaced such rate with SOFR </font><font style="color:#000000;white-space:pre-wrap;font-size:9pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">0.02963%. Therefore, extremely limited information regarding the performances of the Excess Return index and the Risk Control index subsequent to their discontinued use of overnight U.S. dollar LIBOR is available, which may make it difficult for you to make an informed decision with respect to an investment in the notes.  In the graph, closing levels to the left of the vertical solid line marker reflect the historical closing levels of the underlier before the Excess Return index and the Risk Control index discontinued use of overnight U.S. dollar LIBOR on December 20, 2021. Closing levels to the right of the vertical solid line marker reflect the historical closing levels of the Excess Return index and the Risk Control index after the Excess Return index and the Risk Control index discontinued use of overnight U.S. dollar LIBOR on December 20, 2021.</font></p><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The graph above illustrates the historical performance of the Excess Return index relative to the Risk Control index and the Total Return index over the time period shown and provides an indication of how the relative performance of the daily returns of the Excess Return index has historically been relative to the Risk Control index and the Total Return index. The Excess Return index will always underperform the Risk Control index.</font></p><p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:5pt;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="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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: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:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;" id="block_tax"><font style="text-transform:uppercase;color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The following section supplements 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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">llp</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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.</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:Arial;font-kerning:none;min-width:fit-content;">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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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>
   <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="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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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></td>
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   </table><p style="font-size:10pt;margin-top:5pt;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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">This subsection describes the tax consequences to a United States holder. 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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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, 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 generally 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:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">It is not entirely clear how, under the rules governing contingent payment debt instruments, the maturity date for debt instruments (such as your notes) that provide for the possibility of early redemption should be determined for purposes of computing the comparable yield and projected payment schedule. It would be reasonable, however, to compute the comparable yield and projected payment schedule for your notes (and we intend to make the computation in such a manner) based on the assumption that your notes will remain outstanding until the stated maturity date.</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:Arial;font-kerning:none;min-width:fit-content;">We have determined that the comparable yield for the notes is equal to 4.1596% per annum, compounded semi-annually with a projected payment at maturity of $1,133.13 based on an investment of $1,000.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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:Arial;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;padding-right:0in;"><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;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;padding-right:0in;"><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Interest Deemed to Accrue During Accrual Period (per $1,000 note)</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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-family:Arial;font-kerning:none;min-width:fit-content;">Total Interest Deemed to Have Accrued from Original Issue Date (per $1,000 note) as of End 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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">November 13, 2025 through December 31, 2025</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:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$5.55</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:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;&#160;&#160;$5.55</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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2026 through December 31, 2026</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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;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:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$42.86</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:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$48.41</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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2027 through December 31, 2027</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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;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:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$44.68</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:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">&#160;&#160;$93.09</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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">January 1, 2028 through November 10, 2028</font><font style="color:#000000;white-space:pre-wrap;font-family:Arial;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;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:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$40.04</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:0;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-family:Arial;font-kerning:none;min-width:fit-content;">$133.13</font></p></td>
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   </table><p style="font-size:10pt;margin-top:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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="border-top:0.5pt solid;padding-top:1pt;border-right:0.5pt solid;padding-left:0.187%;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:5pt;padding-right:0.187%;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-style:italic;font-kerning:none;min-width:fit-content;"> </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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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,</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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:5pt;font-family:Times New Roman;margin-bottom:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">You will recognize gain or loss upon the sale, exchange, redemption 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><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:Arial;font-kerning:none;min-width:fit-content;">Any gain you recognize upon the sale, exchange, redemption 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:5pt;text-align:center;"><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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="margin-left:3.333%;display:flex;margin-top:0;justify-content:flex-start;align-items:baseline;margin-bottom:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a nonresident alien individual;</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:5pt;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:Arial;font-kerning:none;min-width:fit-content;">a foreign corporation; or</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:5pt;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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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 a non-United States holder receives upon the sale, exchange, redemption or maturity of the 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 stocks included in the underlier during the term of the notes. We could also require a non-United States holder to make certifications (e.g., an applicable Internal Revenue Service Form W-8) prior to the</font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">maturity of the notes in order to avoid or minimize withholding obligations, and we could withhold accordingly (subject to the non-United States holder&#x2019;s 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 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></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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:5pt;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:Arial;font-kerning:none;min-width:fit-content;">Foreign Account Tax Compliance Act (FATCA) Withholding</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:Arial;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:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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: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:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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="block_planofdistro"><font id="t1"></font><font style="color:#000000;white-space:pre-wrap;font-weight:bold;font-size:10pt;font-family:Arial;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:Arial;font-kerning:none;min-width:fit-content;">See &#x201c;Supplemental Plan of Distribution&#x201d; on page S-51 of the accompanying general terms supplement no. 17,744 and &#x201c;Plan of Distribution &#x2014; 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 $15,000.</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:Arial;font-kerning:none;min-width:fit-content;">GS Finance Corp. will sell to GS&amp;Co., 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. GS&amp;Co. will pay a fee of 0.75% of the face amount to an affiliate of the dealer in connection with certain services provided directly by such affiliate to the dealer. 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. We have been advised that GS&amp;Co. will also pay a fee to iCapital Markets LLC, a broker-dealer in which an affiliate of GS Finance Corp. holds an indirect minority equity interest, for services it is providing in connection with this offering.</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:Arial;font-kerning:none;min-width:fit-content;">We will deliver the notes against payment therefor in New York, New York on November 13, 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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">The notes will not be listed on any securities exchange or interdealer quotation system.</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;"> </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-size:10pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"><br></font><font style="color:#000000;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:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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:5pt;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:Arial;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:5pt;text-align:left;"><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;font-kerning:none;min-width:fit-content;">In the opinion of Sidley Austin </font><font style="color:#000000;white-space:pre-wrap;font-size:8pt;font-family:Arial;font-kerning:none;min-width:fit-content;">LLP</font><font style="color:#000000;white-space:pre-wrap;font-size:10pt;font-family:Arial;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></div>
  <div style="z-index:2;flex-direction:column;display:flex;padding-bottom:0.5in;min-height:1in;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></div>
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  <div style="padding-top:0.5in;z-index:2;min-height:1in;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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<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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<body>
<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>Nov. 12, 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>
<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_SubmissionLineItems</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>xbrli:stringItemType</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_SubmissnTp">
<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_SubmissnTp</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>
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<tr>
<td><strong> Period Type:</strong></td>
<td>duration</td>
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</DOCUMENT>
<DOCUMENT>
<TYPE>XML
<SEQUENCE>9
<FILENAME>R2.htm
<DESCRIPTION>IDEA: XBRL DOCUMENT
<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">
							function toggleNextSibling (e) {
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</head>
<body>
<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>Fees Summary<br></strong></div></th>
<th class="th">
<div>Nov. 12, 2025 </div>
<div>USD ($)</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_FeesSummaryLineItems', window );"><strong>Fees Summary [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_ffd_NrrtvDsclsr', window );">Narrative Disclosure</a></td>
<td class="text"><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 $</span><span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;">638,000</span><span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;">.</span></p><span></span>
</td>
</tr>
<tr class="re">
<td class="pl" style="border-bottom: 0px;" valign="top"><a class="a" href="javascript:void(0);" onclick="Show.showAR( this, 'defref_ffd_NrrtvMaxAggtOfferingPric', window );">Narrative - Max Aggregate Offering Price</a></td>
<td class="nump">$ 638,000<span></span>
</td>
</tr>
</table>
<div style="display: none;">
<table border="0" cellpadding="0" cellspacing="0" class="authRefData" style="display: none;" id="defref_ffd_FeesSummaryLineItems">
<tr><td class="hide"><a style="color: white;" href="javascript:void(0);" onclick="Show.hideAR();">X</a></td></tr>
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<a href="javascript:void(0);" onclick="Show.toggleNext( this );">- References</a><div><p>Reference 1: http://www.xbrl.org/2003/role/presentationRef<br> -Publisher SEC<br> -Name Securities Act<br> -Number 230<br></p></div>
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      id="F_33099c71-90bd-4a2e-951c-dde4076cac80">&lt;p style="font-size:10pt;margin-top:0;font-family:Times New Roman;margin-bottom:12pt;text-align:left;"&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;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 $&lt;/span&gt;&lt;span style="font-size:12pt;font-family:Times New Roman;color:#000000;white-space:pre-wrap;font-kerning:none;min-width:fit-content;"&gt;638,000&lt;/span&gt;&lt;span style="color:#000000;white-space:pre-wrap;font-size:12pt;font-family:Times New Roman;font-kerning:none;min-width:fit-content;"&gt;.&lt;/span&gt;&lt;/p&gt;</ffd:NrrtvDsclsr>
    <ffd:NrrtvMaxAggtOfferingPric
      contextRef="C_552a7943-d42e-44ac-ae28-5d33a230d365"
      decimals="0"
      id="F_c724bbe9-3e8f-40b0-9b4f-79b0d8e358e1"
      unitRef="U_USD">638000</ffd:NrrtvMaxAggtOfferingPric>
</xbrl>
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</TEXT>
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</SEC-DOCUMENT>
