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Financial Assets and Liabilities - Measured on a Recurring Basis (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Assets    
Financial instruments owned, at fair value $ 2,068,734 $ 1,848,806
Financial instruments owned, at fair value, Counterparty and Cash Collateral Netting (211,398) (2,790,242)
Financial instruments owned, pledged as collateral 696,956 791,115
Other Assets 48,966 48,273
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,497,958 2,475,395
Financial instruments sold, not yet purchased, at fair value, Counterparty and Cash Collateral Netting (196,535) (2,719,954)
Equity securities    
Assets    
Financial instruments owned, at fair value 1,680,777 1,609,901
Financial instruments owned, pledged as collateral 654,366 748,846
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,186,702 2,268,330
U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 127,537 106,013
Financial instruments owned, pledged as collateral   0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 41,804 115,112
Corporate Bonds    
Assets    
Financial instruments owned, at fair value 171,591 87,500
Liabilities    
Financial instruments sold, not yet purchased, at fair value 244,700 40,123
Exchange traded notes    
Assets    
Financial instruments owned, at fair value 49,137 31,362
Financial instruments owned, pledged as collateral 42,590 42,269
Liabilities    
Financial instruments sold, not yet purchased, at fair value 21,646 39,984
Equity investment    
Assets    
Other Assets 46,245 45,856
Exchange stock    
Assets    
Other Assets 2,721 2,417
Currency forwards    
Assets    
Financial instruments owned, at fair value 31,154 2,131
Financial instruments owned, at fair value, Counterparty and Cash Collateral Netting (211,398) (2,790,242)
Liabilities    
Financial instruments sold, not yet purchased, at fair value 19 795
Financial instruments sold, not yet purchased, at fair value, Counterparty and Cash Collateral Netting (196,535) (2,719,954)
Options    
Assets    
Financial instruments owned, at fair value 8,538 11,899
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,087 11,051
Quoted Prices in Active Markets for Identical Assets (Level 1)    
Assets    
Financial instruments owned, at fair value 715,730 694,441
Financial instruments owned, pledged as collateral 362,451 396,778
Other Assets 2,721 2,417
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,065,007 1,055,472
Quoted Prices in Active Markets for Identical Assets (Level 1) | Equity securities    
Assets    
Financial instruments owned, at fair value 600,259 587,680
Financial instruments owned, pledged as collateral 362,439 389,810
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,022,814 931,992
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 106,690 91,466
Financial instruments owned, pledged as collateral   0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 39,091 112,058
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 243 3,396
Financial instruments owned, pledged as collateral 12 6,968
Liabilities    
Financial instruments sold, not yet purchased, at fair value 15 371
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 2,721 2,417
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 8,538 11,899
Liabilities    
Financial instruments sold, not yet purchased, at fair value 3,087 11,051
Significant Other Observable Inputs (Level 2)    
Assets    
Financial instruments owned, at fair value 1,564,402 3,944,607
Financial instruments owned, pledged as collateral 334,505 394,337
Other Assets 0 0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,629,486 4,139,877
Significant Other Observable Inputs (Level 2) | Equity securities    
Assets    
Financial instruments owned, at fair value 1,080,518 1,022,221
Financial instruments owned, pledged as collateral 291,927 359,036
Liabilities    
Financial instruments sold, not yet purchased, at fair value 1,163,888 1,336,338
Significant Other Observable Inputs (Level 2) | U.S. and Non-U.S. government obligations    
Assets    
Financial instruments owned, at fair value 20,847 14,547
Financial instruments owned, pledged as collateral   0
Liabilities    
Financial instruments sold, not yet purchased, at fair value 2,713 3,054
Significant Other Observable Inputs (Level 2) | Corporate Bonds    
Assets    
Financial instruments owned, at fair value 171,591 87,500
Liabilities    
Financial instruments sold, not yet purchased, at fair value 244,700 40,123
Significant Other Observable Inputs (Level 2) | Exchange traded notes    
Assets    
Financial instruments owned, at fair value 48,894 27,966
Financial instruments owned, pledged as collateral 42,578 35,301
Liabilities    
Financial instruments sold, not yet purchased, at fair value 21,631 39,613
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 242,552 2,792,373
Liabilities    
Financial instruments sold, not yet purchased, at fair value 196,554 2,720,749
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 46,245 45,856
Liabilities    
Financial instruments sold, not yet purchased, at fair value 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
Financial instruments owned, pledged as collateral   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 46,245 45,856
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