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Financial Assets and Liabilities - Level 3 financial instruments (Details) - USD ($)
3 Months Ended 12 Months Ended
Mar. 31, 2018
Dec. 31, 2017
Mar. 31, 2017
Fair value measurements measured on a recurring basis      
Transfers of financial assets between levels $ 0   $ 0
Assets      
Financial instruments owned, at fair value 2,297,070,000 $ 2,117,579,000  
Financial instruments owned, pledged as collateral 610,536,000 595,043,000  
Other assets 100,811,000 98,364,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 2,846,453,000 2,384,598,000  
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 40,588,000 36,031,000  
Purchases 0 3,000,000  
Total Realized and Unrealized Gains / (Losses) 1,890,000 4,557,000  
Net Transfers into (out of) Level 3 0 0  
Settlement 0 (3,000,000)  
Ending Balance 42,478,000 40,588,000  
Change in Net Unrealized Gains / (Losses) On Investments Held 1,890,000 4,557,000  
Equities      
Assets      
Financial instruments owned, pledged as collateral 571,997,000 586,251,000  
U.S. and Non-U.S. government obligations      
Assets      
Financial instruments owned, pledged as collateral 200,000 99,000  
Exchange traded notes      
Assets      
Financial instruments owned, pledged as collateral 38,339,000 8,693,000  
Equity investment      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 40,588,000 36,031,000  
Purchases 0 0  
Total Realized and Unrealized Gains / (Losses) 1,890,000 4,557,000  
Net Transfers into (out of) Level 3 0 0  
Settlement 0 0  
Ending Balance 42,478,000 40,588,000  
Change in Net Unrealized Gains / (Losses) On Investments Held 1,890,000 4,557,000  
Other      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 0 0  
Purchases   3,000,000  
Total Realized and Unrealized Gains / (Losses)   0  
Net Transfers into (out of) Level 3   0  
Settlement   (3,000,000)  
Ending Balance   0  
Change in Net Unrealized Gains / (Losses) On Investments Held   0  
Fair value measurements measured on a recurring basis | Fair Value      
Assets      
Financial instruments owned, at fair value 2,297,070,000 2,117,579,000  
Financial instruments owned, pledged as collateral 610,536,000 595,043,000  
Other assets 100,811,000 98,364,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 2,846,453,000 2,384,598,000  
Fair value measurements measured on a recurring basis | Fair Value | Currency forwards      
Assets      
Financial instruments owned, at fair value 2,234,000 17,790,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 4,958,000 7,026,000  
Fair value measurements measured on a recurring basis | Fair Value | Options      
Assets      
Financial instruments owned, at fair value 9,210,000 7,045,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 15,548,000 5,839,000  
Fair value measurements measured on a recurring basis | Fair Value | Equities      
Assets      
Financial instruments owned, at fair value 2,095,987,000 1,926,591,000  
Financial instruments owned, pledged as collateral 571,997,000 586,251,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 2,716,628,000 2,203,432,000  
Fair value measurements measured on a recurring basis | Fair Value | U.S. and Non-U.S. government obligations      
Assets      
Financial instruments owned, at fair value 19,007,000 22,783,000  
Financial instruments owned, pledged as collateral 200,000 99,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 27,205,000    
Fair value measurements measured on a recurring basis | Fair Value | Corporate Bonds      
Assets      
Financial instruments owned, at fair value 75,534,000 60,975,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 40,007,000    
Fair value measurements measured on a recurring basis | Fair Value | Exchange traded notes      
Assets      
Financial instruments owned, at fair value 95,098,000 82,395,000  
Financial instruments owned, pledged as collateral 38,339,000 8,693,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 42,107,000 55,762,000  
Fair value measurements measured on a recurring basis | Fair Value | Exchange stock      
Assets      
Other assets 2,154,000 1,952,000  
Fair value measurements measured on a recurring basis | Fair Value | Equity investment      
Assets      
Other assets 42,478,000 40,588,000  
Fair value measurements measured on a recurring basis | Fair Value | Other      
Assets      
Other assets 56,179,000 55,824,000  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1)      
Assets      
Financial instruments owned, at fair value 1,031,258,000 785,185,000  
Financial instruments owned, pledged as collateral 331,931,000 410,851,000  
Other assets 2,154,000 1,952,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 1,645,535,000 874,109,000  
Fair value measurements measured on a recurring basis | 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  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Options      
Assets      
Financial instruments owned, at fair value 9,210,000 7,045,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 15,548,000 5,839,000  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Equities      
Assets      
Financial instruments owned, at fair value 956,518,000 758,596,000  
Financial instruments owned, pledged as collateral 309,313,000 410,670,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 1,584,268,000 847,816,000  
Fair value measurements measured on a recurring basis | 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 800,000 5,968,000  
Financial instruments owned, pledged as collateral 200,000 99,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 1,998,000    
Fair value measurements measured on a recurring basis | 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 40,007,000    
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Exchange traded notes      
Assets      
Financial instruments owned, at fair value 64,730,000 13,576,000  
Financial instruments owned, pledged as collateral 22,418,000 82,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 3,714,000 1,514,000  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Exchange stock      
Assets      
Other assets 2,154,000 1,952,000  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Equity investment      
Assets      
Other assets 0 0  
Fair value measurements measured on a recurring basis | Quoted Prices in Active Markets for Identical Assets (Level 1) | Other      
Assets      
Other assets 0 0  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2)      
Assets      
Financial instruments owned, at fair value 1,966,467,000 3,360,091,000  
Financial instruments owned, at fair value, counterparty and cash collateral netting (700,655,000) (2,027,697,000)  
Financial instruments owned, pledged as collateral 278,605,000 184,192,000  
Other assets 56,179,000 55,824,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 1,921,382,000 3,535,480,000  
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (720,464,000) (2,024,991,000)  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Currency forwards      
Assets      
Financial instruments owned, at fair value 702,889,000 2,045,487,000  
Financial instruments owned, at fair value, counterparty and cash collateral netting (700,655,000) (2,027,697,000)  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 725,422,000 2,032,017,000  
Financial instruments sold, not yet purchased, at fair value, counterparty and cash collateral netting (720,464,000) (2,024,991,000)  
Fair value measurements measured on a recurring basis | 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  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Equities      
Assets      
Financial instruments owned, at fair value 1,139,469,000 1,167,995,000  
Financial instruments owned, pledged as collateral 262,684,000 175,581,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 1,132,360,000 1,355,616,000  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | U.S. and Non-U.S. government obligations      
Assets      
Financial instruments owned, at fair value 18,207,000 16,815,000  
Financial instruments owned, pledged as collateral 0 0  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 25,207,000    
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Corporate Bonds      
Assets      
Financial instruments owned, at fair value 75,534,000 60,975,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 0    
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Exchange traded notes      
Assets      
Financial instruments owned, at fair value 30,368,000 68,819,000  
Financial instruments owned, pledged as collateral 15,921,000 8,611,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 38,393,000 54,248,000  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Exchange stock      
Assets      
Other assets 0 0  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Equity investment      
Assets      
Other assets 0 0  
Fair value measurements measured on a recurring basis | Significant Other Observable Inputs (Level 2) | Other      
Assets      
Other assets 56,179,000 55,824,000  
Fair value measurements measured on a recurring basis | Significant Unobservable Inputs (Level 3)      
Assets      
Financial instruments owned, at fair value 0 0  
Financial instruments owned, pledged as collateral 0 0  
Other assets 42,478,000 40,588,000  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 0 0  
Fair value measurements measured on a recurring basis | 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  
Fair value measurements measured on a recurring basis | 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  
Fair value measurements measured on a recurring basis | Significant Unobservable Inputs (Level 3) | Equities      
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  
Fair value measurements measured on a recurring basis | 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 0  
Liabilities      
Financial instruments sold, not yet purchased, at fair value 0    
Fair value measurements measured on a recurring basis | 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    
Fair value measurements measured on a recurring basis | 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  
Fair value measurements measured on a recurring basis | Significant Unobservable Inputs (Level 3) | Exchange stock      
Assets      
Other assets 0 0  
Fair value measurements measured on a recurring basis | Significant Unobservable Inputs (Level 3) | Equity investment      
Assets      
Other assets 42,478,000 40,588,000  
Fair value measurements measured on a recurring basis | Significant Unobservable Inputs (Level 3) | Other      
Assets      
Other assets $ 0 $ 0