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Investments of Operating Entities and Consolidated Funds - Securities Owned at Fair Value (Details) - USD ($)
$ in Thousands
9 Months Ended 12 Months Ended
Sep. 30, 2019
Dec. 31, 2018
Investment Holdings [Line Items]    
Securities owned, at fair value $ 922,164 $ 520,888
Securities owned, at fair value 369,191 187,633
Estimate of Fair Value Measurement [Member]    
Investment Holdings [Line Items]    
Securities owned, at fair value 18,300 9,400
Preferred Stock    
Investment Holdings [Line Items]    
Trading Securities, Equity [1] 16,585 5,617
Securities owned, at fair value 46,268 24,314
Common Stock    
Investment Holdings [Line Items]    
Trading Securities, Equity [1] 853,786 472,299
Securities owned, at fair value 202,017 95,565
Warrants and Rights    
Investment Holdings [Line Items]    
Trading Securities, Equity [1] 19,865 7,990
Securities owned, at fair value 5,465 5,279
Government Securities    
Investment Holdings [Line Items]    
Debt Securities, Trading [2] $ 2,905 $ 13,398
Investment Interest Rate 0.00% 0.00%
Securities owned, at fair value [3] $ 100,724 $ 38,377
Corporate Bonds    
Investment Holdings [Line Items]    
Debt Securities, Trading [4] 18,366 13,041
Securities owned, at fair value [5] $ 14,717 $ 24,098
Corporate Bonds | Minimum    
Investment Holdings [Line Items]    
Investment Interest Rate 0.00% 2.00%
Corporate Bonds | Maximum    
Investment Holdings [Line Items]    
Investment Interest Rate 15.00% 15.50%
Convertible Bonds    
Investment Holdings [Line Items]    
Debt Securities, Trading [1],[6] $ 2,541 $ 3,000
Investment Interest Rate 8.00% 8.00%
Trade Claims    
Investment Holdings [Line Items]    
Debt Securities, Trading [1] $ 7,062 $ 5,543
Loans    
Investment Holdings [Line Items]    
Debt Securities, Trading [1] $ 1,054 $ 0
Consolidated Funds | Government Securities    
Investment Holdings [Line Items]    
Investment Interest Rate 0.00% 0.00%
Consolidated Funds | Corporate Bonds | Minimum    
Investment Holdings [Line Items]    
Investment Interest Rate 4.87% 5.88%
Consolidated Funds | Corporate Bonds | Maximum    
Investment Holdings [Line Items]    
Investment Interest Rate 6.50% 7.63%
Enterprise Master    
Investment Holdings [Line Items]    
Securities owned, at fair value   $ 469
Enterprise Master | Common Stock    
Investment Holdings [Line Items]    
Securities owned, at fair value   $ 469
[1] * The Company has elected the fair value option for securities owned, at fair value with a fair value of $18.3 million and $9.4 million, respectively, at September 30, 2019 and December 31, 2018.
[2] As of September 30, 2019, maturities range from October 2019 to March 2020 with an interest rate of 0%. As of December 31, 2018, maturities ranged from April 2019 to August 2019 with an interest rate of 0%.
[3] As of September 30, 2019, maturities ranged from November 2019 to December 2019 and interest rates were 0%. As of December 31, 2018, maturities ranged from January 2019 to April 2019 and interest rates were 0%.
[4] As of September 30, 2019, maturities ranged from December 2019 to August 2044 and interest rates ranged from 0.00% to 15.00%. As of December 31, 2018, maturities ranged from April 2019 to April 2049 and interest rates ranged from 2% to 15.50%.
[5] As of September 30, 2019, maturities ranged from May 2022 to May 2026 and interest rates ranged from 4.87% to 6.50%. As of December 31, 2018, maturities ranged from August 2020 to March 2026 and interest rates ranged from 5.88% to 7.63%.
[6] As of September 30, 2019, maturities range from April 2020 to March 2022 with an interest rate of 8%. As of December 31, 2018, the maturity was June 2020 with an interest rate of 8%