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Fair value measurements (Tables)
3 Months Ended
Mar. 31, 2021
Fair Value Disclosures [Abstract]  
Investments in Company-Sponsored Funds
The following table provides information about the Company's investments in Company-sponsored funds as of March 31, 2021:
(Expressed in thousands)    
 Fair ValueUnfunded
Commitments
Redemption
Frequency
Redemption
Notice Period
Hedge funds (1)
$1,112 $— Quarterly - Annually30 - 120 Days
Private equity funds (2)
3,709 3,011 N/AN/A
$4,821 $3,011 
(1) Includes investments in hedge funds and hedge fund of funds that pursue long/short, event-driven, and activist strategies.
(2) Includes private equity funds and private equity fund of funds with a focus on diversified portfolios, real estate and
global natural resources
The following table provides information about the Company's investments in Company-sponsored funds as of December 31, 2020:

(Expressed in thousands)    
 Fair ValueUnfunded
Commitments
Redemption
Frequency
Redemption
Notice Period
Hedge funds (1)
$1,126 $— Quarterly - Annually30 - 120 Days
Private equity funds (2)
3,710 1,238 N/AN/A
$4,836 $1,238 
(1) Includes investments in hedge funds and hedge fund of funds that pursue long/short, event-driven, and activist strategies.
(2) Includes private equity funds and private equity fund of funds with a focus on diversified portfolios, real estate and
global natural resources.

During 2020, the Company made an investment in a financial technologies firm. The Company elected the fair value option for this investment and it is included in other assets on the condensed consolidated balance sheet. The Company determined the fair value of the investment based on an implied market-multiple approach and observable market data, including comparable company transactions. As of March 31, 2021, the fair value of the investment was $4.4 million and was categorized in Level 2 of the fair value hierarchy.
Assets and Liabilities Measured at Fair Value on Recurring Basis bilities, recorded at fair value on a recurring basis as of March 31, 2021 and December 31, 2020, have been categorized based upon the above fair value hierarchy as follows:
Assets and liabilities measured at fair value on a recurring basis as of March 31, 2021:
(Expressed in thousands)    
 Fair Value Measurements as of March 31, 2021
 Level 1Level 2Level 3Total
Assets
Deposits with clearing organizations$25,899 $— $— $25,899 
Securities owned:
U.S. Treasury securities427,489 — — 427,489 
U.S. Agency securities— 18,339 — 18,339 
Sovereign obligations— 409 — 409 
Corporate debt and other obligations— 21,227 — 21,227 
Mortgage and other asset-backed securities— 5,541 — 5,541 
Municipal obligations— 40,296 — 40,296 
Convertible bonds— 18,782 — 18,782 
Corporate equities41,364 — — 41,364 
Money markets413 — — 413 
Auction rate securities— — 31,470 31,470 
Securities owned, at fair value469,266 104,594 31,470 605,330 
Investments (1)
— 4,440 — 4,440 
Derivative contracts:
TBAs— 83 — 83 
Total$495,165 $109,117 $31,470 $635,752 
Liabilities
Securities sold but not yet purchased:
U.S. Treasury securities$324,612 $— $— $324,612 
U.S. Agency securities— — 
Sovereign obligations— 1,609 — 1,609 
Corporate debt and other obligations— 6,199 — 6,199 
Mortgage and other asset-backed securities— — 
Convertible bonds— 5,873 — 5,873 
Corporate equities22,187 — — 22,187 
Securities sold but not yet purchased, at fair value346,799 13,687 — 360,486 
Derivative contracts:
Futures296 — — 296 
TBAs— 56 — 56 
ARS purchase commitments— — 65 65 
Derivative contracts, total296 56 65 417 
Total$347,095 $13,743 $65 $360,903 
(1) Included in other assets on the condensed consolidated balance sheet.
Assets and liabilities measured at fair value on a recurring basis as of December 31, 2020:
(Expressed in thousands)    
 Fair Value Measurements as of December 31, 2020
 Level 1Level 2Level 3Total
Assets
Deposits with clearing organizations$23,991 $— $— $23,991 
Securities owned:
U.S. Treasury securities448,312 — — 448,312 
U.S. Agency securities— 24,616 — 24,616 
Sovereign obligations— 367 — 367 
Corporate debt and other obligations— 23,977 — 23,977 
Mortgage and other asset-backed securities— 3,103 — 3,103 
Municipal obligations— 25,190 — 25,190 
Convertible bonds— 17,497 — 17,497 
Corporate equities36,554 — — 36,554 
Money markets200 — — 200 
Auction rate securities— — 30,701 30,701 
Securities owned, at fair value485,066 94,750 30,701 610,517 
Investments (1)
— 4,181 — 4,181 
Derivative contracts:
TBAs— 15 — 15 
Total$509,057 $98,946 $30,701 $638,704 
Liabilities
Securities sold but not yet purchased:
U.S. Treasury securities$93,261 $— $— $93,261 
U.S. Agency securities— — 
Sovereign obligations— 623 — 623 
Corporate debt and other obligations— 5,283 — 5,283 
Corporate equities17,892 — — 17,892 
Securities sold but not yet purchased, at fair value111,153 15,018 — 126,171 
Derivative contracts:
Futures22 — — 22 
TBAs— — 
ARS purchase commitments— — 195 195 
Derivative contracts, total22 195 220 
Total$111,175 $15,021 $195 $126,391 
(1) Included in other assets on the condensed consolidated balance sheet.    
The following tables present changes in Level 3 assets and liabilities measured at fair value on a recurring basis for the three months ended March 31, 2021:
(Expressed in thousands)
Level 3 Assets and Liabilities
For the Three Months Ended March 31, 2021
Total Realized
Beginningand UnrealizedPurchasesSales andTransfersEnding
Balance
Gains (Losses)(3)(4)
and IssuancesSettlementsIn (Out)Balance
Assets
Auction rate securities (1)
$30,701 $(131)$1,875 $(975)$— $31,470 
Liabilities
ARS Purchase Commitments (2)
195 — — (130)— 65 
(1) Represents auction rate securities that failed in the auction rate market.
(2) Represents the difference in principal and fair value for auction rate securities purchase commitments outstanding at the end of the period.
(3) Included in principal transactions in the condensed consolidated income statement.
(4) Unrealized gains are attributable to assets or liabilities that are still held at the reporting date.

There were no balances or changes in Level 3 assets and liabilities during the three months ended March 31, 2020.
Financial Instruments, Estimate Not Practicable, Fair Value d at fair value as of March 31, 2021:
(Expressed in thousands) Fair Value Measurement: Assets
 Carrying ValueLevel 1Level 2Level 3Total
Cash$28,545 $28,545 $— $— $28,545 
Deposits with clearing organization51,395 51,395 — — 51,395 
Receivable from brokers, dealers and clearing organizations:
Securities borrowed109,763 — 109,763 — 109,763 
Receivables from brokers32,994 — 32,994 — 32,994 
Securities failed to deliver62,193 — 62,193 — 62,193 
Clearing organizations28,221 — 28,221 — 28,221 
Other717 — 717 — 717 
233,888 — 233,888 — 233,888 
Receivable from customers1,152,499 — 1,152,499 — 1,152,499 
Securities purchased under agreements to resell25,937 — 25,937 — 25,937 
Notes receivable, net48,847 — 48,847 — 48,847 
Investments (1)
88,963 — 88,963 — 88,963 
(1) Included in other assets on the condensed consolidated balance sheet.
(Expressed in thousands) Fair Value Measurement: Liabilities
 Carrying ValueLevel 1Level 2Level 3Total
Drafts payable$12,392 $12,392 $— $— $12,392 
Bank call loans75,100 — 75,100 — 75,100 
Payables to brokers, dealers and clearing organizations:
Securities loaned257,342 — 257,342 — 257,342 
Payable to brokers1,336 — 1,336 — 1,336 
Securities failed to receive38,100 — 38,100 — 38,100 
Other124,339 — 124,339 — 124,339 
421,117 — 421,117 — 421,117 
Payables to customers462,450 — 462,450 — 462,450 
Securities sold under agreements to repurchase7,150 — 7,150 — 7,150 
Senior secured notes125,000 — 129,375 — 129,375 

Assets and liabilities not measured at fair value as of December 31, 2020:
(Expressed in thousands) Fair Value Measurement: Assets
 Carrying ValueLevel 1Level 2Level 3Total
Cash$35,424 $35,424 $— $— $35,424 
Deposits with clearing organization59,352 59,352 — — 59,352 
Receivable from brokers, dealers and clearing organizations:
Securities borrowed110,932 — 110,932 — 110,932 
Receivables from brokers30,133 — 30,133 — 30,133 
Securities failed to deliver17,840 — 17,840 — 17,840 
Clearing organizations28,955 — 28,955 — 28,955 
Other15,622 — 15,622 — 15,622 
203,482 — 203,482 — 203,482 
Receivable from customers1,110,835 — 1,110,835 — 1,110,835 
Notes receivable, net46,161 — 46,161 — 46,161 
Investments (1)
85,552 — 85,552 — 85,552 
(1) Included in other assets on the condensed consolidated balance sheet.
(Expressed in thousands) Fair Value Measurement: Liabilities
 Carrying ValueLevel 1Level 2Level 3Total
Bank call loans$82,000 $— $82,000 $— $82,000 
Payables to brokers, dealers and clearing organizations:
Securities loaned249,499 — 249,499 — 249,499 
Payable to brokers4,102 — 4,102 — 4,102 
Securities failed to receive6,218 — 6,218 — 6,218 
Other70 — 70 — 70 
259,889 — 259,889 — 259,889 
Payables to customers502,807 — 502,807 — 502,807 
Securities sold under agreements to repurchase342,438 — 342,438 — 342,438 
Senior secured notes125,000 — 127,033 — 127,033 

Fair Value Option
The Compa
Notional Amounts and Fair Values of Derivatives by Product es of the Company's derivatives as of March 31, 2021 and December 31, 2020 by product were as follows:
(Expressed in thousands)   
 Fair Value of Derivative Instruments as of March 31, 2021
 DescriptionNotionalFair Value
Assets:
Derivatives not designated as hedging instruments (1)
Other contractsTBAs$40,550 $83 
$40,550 $83 
Liabilities:
Derivatives not designated as hedging instruments (1)
Commodity contracts
Futures$2,860,000 $296 
       Other contractsTBAs34,884 56 
ARS purchase commitments435 65 
$2,895,319 $417 
(1)See "Derivative Instruments and Hedging Activities" above for a description of derivative financial instruments. Such derivative instruments are not subject to master netting agreements, thus the
related amounts are not offset.
(Expressed in thousands)   
 Fair Value of Derivative Instruments as of December 31, 2020
 DescriptionNotionalFair Value
Assets:
Derivatives not designated as hedging instruments (1)
Other contractsTBAs$7,970 $15 
$7,970 $15 
Liabilities:
Derivatives not designated as hedging instruments (1)
Commodity contracts
Futures$3,440,000 $22 
       Other contractsTBAs7,936 
ARS purchase commitments1,313 195 
$3,449,249 $220 
(1)See "Derivative Instruments and Hedging Activities" above for a description of derivative financial instruments. Such derivative instruments are not subject to master netting agreements, thus the related amounts are not offset.
The following table presents the
Fair Value Amounts of Derivative Instruments and their Effect on Statement of Operations the location and fair value amounts of the Company's derivative instruments and their effect in the condensed consolidated income statements for the three months ended March 31, 2021 and 2020: