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Fair Value - Valuation of Financial Instruments by Pricing Observability Levels (Details) - USD ($)
$ in Thousands
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Investments      
Investments, other measurements $ 73,649 $ 96,840  
Securities sold not yet purchased      
Contingent payment arrangements 17,384 0 $ 0
Other investments      
Investments      
Investments, other measurements 8,007 7,358  
Hedge funds      
Investments      
Investments, other measurements 47,361 80,699  
Time deposits      
Investments      
Investments, other measurements 18,281 8,783  
Recurring      
Assets, Fair Value Disclosure [Abstract]      
Money markets 126,401 102,888  
Securities segregated (U.S. Treasury Bills) 1,094,866 1,169,554  
Derivatives 13,491 17,079  
Investments      
Total investments measured at fair value and other measurements 266,794 714,344  
Total assets measured at fair value and other measurements 1,501,552 2,003,865  
Securities sold not yet purchased      
Short equities – corporate 17,809 4,841  
Short exchange-traded options 12,348 3,782  
Derivatives 19,259 14,822  
Contingent payment arrangements 22,911 7,336  
Total liabilities measured at fair value 72,327 30,781  
Recurring | Level 1      
Assets, Fair Value Disclosure [Abstract]      
Money markets 126,401 102,888  
Securities segregated (U.S. Treasury Bills) 0 0  
Derivatives 939 1,594  
Investments      
Total investments 183,760 216,251  
Total assets measured at fair value 311,100 320,733  
Securities sold not yet purchased      
Short equities – corporate 17,809 4,841  
Short exchange-traded options 12,348 3,782  
Derivatives 871 2,534  
Contingent payment arrangements 0 0  
Total liabilities measured at fair value 31,028 11,157  
Recurring | Level 2      
Assets, Fair Value Disclosure [Abstract]      
Money markets 0 0  
Securities segregated (U.S. Treasury Bills) 1,094,866 1,169,554  
Derivatives 12,552 15,485  
Investments      
Total investments 8,952 400,796  
Total assets measured at fair value 1,116,370 1,585,835  
Securities sold not yet purchased      
Short equities – corporate 0 0  
Short exchange-traded options 0 0  
Derivatives 18,388 12,288  
Contingent payment arrangements 0 0  
Total liabilities measured at fair value 18,388 12,288  
Recurring | Level 3      
Assets, Fair Value Disclosure [Abstract]      
Money markets 0 0  
Securities segregated (U.S. Treasury Bills) 0 0  
Derivatives 0 0  
Investments      
Total investments 119 142  
Total assets measured at fair value 119 142  
Securities sold not yet purchased      
Short equities – corporate 0 0  
Short exchange-traded options 0 0  
Derivatives 0 0  
Contingent payment arrangements 22,911 7,336  
Total liabilities measured at fair value 22,911 7,336  
Recurring | NAV Expedient      
Investments      
Fair value of private equity investment 314 315  
Recurring | U.S. Treasury Bills      
Investments      
Investments   392,424  
Recurring | U.S. Treasury Bills | Level 1      
Investments      
Investments   0  
Recurring | U.S. Treasury Bills | Level 2      
Investments      
Investments   392,424  
Recurring | U.S. Treasury Bills | Level 3      
Investments      
Investments   0  
Recurring | Equity securities      
Investments      
Investments 180,331 218,243  
Recurring | Equity securities | Level 1      
Investments      
Investments 170,946 209,414  
Recurring | Equity securities | Level 2      
Investments      
Investments 8,952 8,372  
Recurring | Equity securities | Level 3      
Investments      
Investments 119 142  
Recurring | Equity securities | NAV Expedient      
Investments      
Fair value of private equity investment 314 315  
Recurring | Other investments      
Investments      
Investments, other measurements   11,627  
Total investments measured at fair value and other measurements 13,890    
Recurring | Other investments | Level 1      
Investments      
Investments, other measurements   4,269  
Total investments 5,883    
Recurring | Long exchange-traded options | Exchange-traded options      
Investments      
Investments 6,931 2,568  
Recurring | Long exchange-traded options | Exchange-traded options | Level 1      
Investments      
Investments 6,931 2,568  
Recurring | Long exchange-traded options | Exchange-traded options | Level 2      
Investments      
Investments 0 0  
Recurring | Long exchange-traded options | Exchange-traded options | Level 3      
Investments      
Investments 0 0  
Recurring | Hedge funds      
Investments      
Investments, other measurements 47,361 80,699  
Recurring | Time deposits      
Investments      
Investments, other measurements $ 18,281 $ 8,783