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Derivative Financial Instruments - Fair Value and Related Number of Derivative Contracts Categorized by Type of Derivative Contract (Details)
$ in Thousands
Nov. 30, 2022
USD ($)
Contract
Nov. 30, 2021
USD ($)
contract
Contract
Derivatives, Fair Value [Line Items]    
Derivative Asset, Statement of Financial Position [Extensible Enumeration] Financial instruments owned Financial instruments owned
Derivative Liability, Statement of Financial Position [Extensible Enumeration] Financial instruments sold, not yet purchased, at fair value Financial instruments sold, not yet purchased, at fair value
Net amounts per consolidated statements of financial condition, assets $ 349,166 $ 570,472
Net amounts per consolidated statements of financial condition, liabilities 1,512,697 1,412,176
Exchange-traded    
Derivatives, Fair Value [Line Items]    
Fair value, assets 1,077,468 1,208,316
Fair value, liabilities 864,946 1,036,998
Amounts offset in the consolidated statements of financial condition, assets (858,921) (1,008,091)
Amounts offset in the consolidated statements of financial condition, liabilities (858,921) (1,008,091)
Cleared OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets 663,504 493,261
Fair value, liabilities 678,234 508,333
Amounts offset in the consolidated statements of financial condition, assets (655,969) (483,339)
Amounts offset in the consolidated statements of financial condition, liabilities (657,192) (508,333)
Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets 1,701,438 2,174,651
Fair value, liabilities 2,701,682 3,569,045
Amounts offset in the consolidated statements of financial condition, assets (1,578,354) (1,814,326)
Amounts offset in the consolidated statements of financial condition, liabilities (1,216,052) (2,185,776)
Derivatives designated as accounting hedges:    
Derivatives, Fair Value [Line Items]    
Fair value, assets 0 66,188
Fair value, liabilities 275,797 32,200
Derivatives designated as accounting hedges: | Interest rate contracts: | Cleared OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 0 $ 35,726
Number of contracts, assets | Contract 0 2
Fair value, liabilities $ 217,922 $ 32,200
Number of contracts, liabilities | Contract 3 1
Derivatives designated as accounting hedges: | Foreign exchange contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 0 $ 30,462
Number of contracts, assets | Contract 0 4
Fair value, liabilities $ 57,875 $ 0
Number of contracts, liabilities | Contract 5 0
Derivatives not designated as accounting hedges:    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 3,442,410 $ 3,810,040
Fair value, liabilities 3,969,065 5,082,176
Derivatives not designated as accounting hedges: | Interest rate contracts: | Exchange-traded    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 3,297 $ 1,262
Number of contracts, assets | Contract 49,736 23,888
Fair value, liabilities $ 123 $ 756
Number of contracts, liabilities | Contract 36,085 39,195
Derivatives not designated as accounting hedges: | Interest rate contracts: | Cleared OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 655,140 $ 373,355
Number of contracts, assets | Contract 3,843 4,505
Fair value, liabilities $ 452,570 $ 367,134
Number of contracts, liabilities | Contract 4,203 4,467
Derivatives not designated as accounting hedges: | Interest rate contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 1,044,632 $ 322,353
Number of contracts, assets | Contract 772 1,037
Fair value, liabilities $ 1,573,975 $ 283,481
Number of contracts, liabilities | Contract 704 967
Derivatives not designated as accounting hedges: | Foreign exchange contracts: | Exchange-traded    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 0  
Number of contracts, assets | Contract 2  
Fair value, liabilities $ 0  
Number of contracts, liabilities | Contract 1  
Derivatives not designated as accounting hedges: | Foreign exchange contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 287,594 $ 1,428,712
Number of contracts, assets | Contract 2,398 17,792
Fair value, liabilities $ 251,339 $ 1,437,116
Number of contracts, liabilities | Contract 2,428 17,576
Derivatives not designated as accounting hedges: | Equity contracts: | Exchange-traded    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 1,074,134 $ 1,206,606
Number of contracts, assets | Contract 1,323,637 1,582,713
Fair value, liabilities $ 864,804 $ 1,036,019
Number of contracts, liabilities | Contract 1,338,129 1,450,624
Derivatives not designated as accounting hedges: | Equity contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 348,611 $ 377,132
Number of contracts, assets | Contract 5,201 2,888
Fair value, liabilities $ 800,230 $ 1,824,418
Number of contracts, liabilities | Contract 5,543 2,682
Derivatives not designated as accounting hedges: | Commodity contracts: | Exchange-traded    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 37 $ 448
Number of contracts, assets | Contract 597 1,394
Fair value, liabilities $ 19 $ 223
Number of contracts, liabilities | Contract 607 1,457
Derivatives not designated as accounting hedges: | Commodity contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 4,327 $ 2,703
Number of contracts, assets 5 2
Fair value, liabilities $ 4,874 $ 9,862
Number of contracts, liabilities 3 7
Derivatives not designated as accounting hedges: | Commodity contracts: | Bilateral OTC | Revision of Prior Period, Error Correction, Adjustment    
Derivatives, Fair Value [Line Items]    
Number of contracts, liabilities | contract   825
Derivatives not designated as accounting hedges: | Credit contracts: | Cleared OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 8,364 $ 84,180
Number of contracts, assets | Contract 51 132
Fair value, liabilities $ 7,742 $ 108,999
Number of contracts, liabilities | Contract 35 128
Derivatives not designated as accounting hedges: | Credit contracts: | Bilateral OTC    
Derivatives, Fair Value [Line Items]    
Fair value, assets $ 16,274 $ 13,289
Number of contracts, assets | Contract 9 14
Fair value, liabilities $ 13,389 $ 14,168
Number of contracts, liabilities | Contract 8 17
Derivatives not designated as accounting hedges: | Credit contracts: | Bilateral OTC | Revision of Prior Period, Error Correction, Adjustment    
Derivatives, Fair Value [Line Items]    
Number of contracts, assets | Contract   616