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Financial Assets and Liabilities - Measured on a Recurring Basis (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Assets    
Financial instruments owned, at fair value $ 3,238,995 $ 2,369,192
Financial instruments owned, at fair value, counterparty and cash collateral netting (206,125) (291,964)
Financial instruments owned, pledged as collateral 1,017,960 746,539
Other Assets 84,378 68,316
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,510,779 2,923,708
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (208,356) (292,870)
Payables to broker-dealers and clearing organizations 571,526 876,446
Interest rate swap    
Liabilities    
Payables to broker-dealers and clearing organizations 21,037 63,513
Equity securities    
Assets    
Financial instruments owned, at fair value 2,273,037 1,955,589
Financial instruments owned, pledged as collateral 1,012,569 734,024
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,290,017 2,445,050
U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 355,869 199,782
Liabilities    
Financial instruments sold, not yet purchased, at fair value 340,720 103,157
Corporate Bonds    
Assets    
Financial instruments owned, at fair value 598,944 135,518
Liabilities    
Financial instruments sold, not yet purchased, at fair value 851,871 358,734
Exchange traded notes    
Assets    
Financial instruments owned, at fair value 2,469 19,827
Financial instruments owned, pledged as collateral 5,391 12,515
Liabilities    
Financial instruments sold, not yet purchased, at fair value 22,962 7,431
Equity investment    
Assets    
Other Assets 81,358 66,030
Exchange stock    
Assets    
Other Assets 3,020 2,286
Currency forwards    
Assets    
Financial instruments owned, at fair value 133 49,396
Financial instruments owned, at fair value, counterparty and cash collateral netting (206,125) (291,964)
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1 95
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (208,356) (292,870)
Options    
Assets    
Financial instruments owned, at fair value 8,543 9,080
Liabilities    
Financial instruments sold, not yet purchased, at fair value 5,208 9,241
Quoted Prices in Active Markets for Identical Assets (Level 1)     
Assets    
Financial instruments owned, at fair value 918,470 922,393
Financial instruments owned, pledged as collateral 670,277 496,945
Other Assets 3,020 2,286
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,818,359 1,399,496
Payables to broker-dealers and clearing organizations 235 3,517
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Interest rate swap    
Liabilities    
Payables to broker-dealers and clearing organizations 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity securities    
Assets    
Financial instruments owned, at fair value 572,567 761,484
Financial instruments owned, pledged as collateral 670,277 496,943
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,482,386 1,307,082
Quoted Prices in Active Markets for Identical Assets (Level 1)  | U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 337,350 151,723
Liabilities    
Financial instruments sold, not yet purchased, at fair value 330,765 83,173
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Corporate Bonds    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange traded notes    
Assets    
Financial instruments owned, at fair value 10 106
Financial instruments owned, pledged as collateral 0 2
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Equity investment    
Assets    
Other Assets 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Exchange stock    
Assets    
Other Assets 3,020 2,286
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Currency forwards    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Quoted Prices in Active Markets for Identical Assets (Level 1)  | Options    
Assets    
Financial instruments owned, at fair value 8,543 9,080
Liabilities    
Financial instruments sold, not yet purchased, at fair value 5,208 9,241
Significant Other Observable Inputs (Level 2)     
Assets    
Financial instruments owned, at fair value 2,526,650 1,738,763
Financial instruments owned, pledged as collateral 347,683 249,594
Other Assets 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,900,776 1,817,082
Payables to broker-dealers and clearing organizations 571,291 872,929
Significant Other Observable Inputs (Level 2)  | Interest rate swap    
Liabilities    
Payables to broker-dealers and clearing organizations 21,037 63,513
Significant Other Observable Inputs (Level 2)  | Equity securities    
Assets    
Financial instruments owned, at fair value 1,700,470 1,194,105
Financial instruments owned, pledged as collateral 342,292 237,081
Liabilities    
Financial instruments sold, not yet purchased, at fair value 807,631 1,137,968
Significant Other Observable Inputs (Level 2)  | U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 18,519 48,059
Liabilities    
Financial instruments sold, not yet purchased, at fair value 9,955 19,984
Significant Other Observable Inputs (Level 2)  | Corporate Bonds    
Assets    
Financial instruments owned, at fair value 598,944 135,518
Liabilities    
Financial instruments sold, not yet purchased, at fair value 851,871 358,734
Significant Other Observable Inputs (Level 2)  | Exchange traded notes    
Assets    
Financial instruments owned, at fair value 2,459 19,721
Financial instruments owned, pledged as collateral 5,391 12,513
Liabilities    
Financial instruments sold, not yet purchased, at fair value 22,962 7,431
Significant Other Observable Inputs (Level 2)  | Equity investment    
Assets    
Other Assets 0 0
Significant Other Observable Inputs (Level 2)  | Exchange stock    
Assets    
Other Assets 0 0
Significant Other Observable Inputs (Level 2)  | Currency forwards    
Assets    
Financial instruments owned, at fair value 206,258 341,360
Liabilities    
Financial instruments sold, not yet purchased, at fair value 208,357 292,965
Significant Other Observable Inputs (Level 2)  | Options    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)     
Assets    
Financial instruments owned, at fair value 0 0
Financial instruments owned, pledged as collateral 0 0
Other Assets 81,358 66,030
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Payables to broker-dealers and clearing organizations 0 0
Significant Unobservable Inputs (Level 3)  | Interest rate swap    
Liabilities    
Payables to broker-dealers and clearing organizations 0 0
Significant Unobservable Inputs (Level 3)  | Equity securities    
Assets    
Financial instruments owned, at fair value 0 0
Financial instruments owned, pledged as collateral 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Corporate Bonds    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Exchange traded notes    
Assets    
Financial instruments owned, at fair value 0 0
Financial instruments owned, pledged as collateral 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Equity investment    
Assets    
Other Assets 81,358 66,030
Significant Unobservable Inputs (Level 3)  | Exchange stock    
Assets    
Other Assets 0 0
Significant Unobservable Inputs (Level 3)  | Currency forwards    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 0 0
Significant Unobservable Inputs (Level 3)  | Options    
Assets    
Financial instruments owned, at fair value 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value $ 0 $ 0