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Investments of Operating Entities and Consolidated Funds - Derivatives (Details)
12 Months Ended
Dec. 05, 2016
Dec. 31, 2019
USD ($)
contract
Dec. 31, 2018
USD ($)
contract
Dec. 31, 2017
USD ($)
Derivative [Line Items]        
Stockholders' Equity Note, Stock Split, Conversion Ratio 0.25      
Receivable on derivative contracts, at fair value   $ 62,977,000 $ 25,125,000  
Payable for derivative contracts, at fair value   60,761,000 16,082,000  
Receivable on derivative contracts, at fair value   5,833,000 4,416,000  
Payable for derivative contracts, at fair value, Consolidated Funds   4,769,000 1,663,000  
Payables to brokers, dealers and clearing organizations   271,018,000 228,731,000  
Receivable from brokers, dealers and clearing organizations, net of allowance of $721 and $472, respectively   681,695,000 786,113,000  
Equity Swap        
Derivative [Line Items]        
Receivable on derivative contracts, at fair value   927,000 2,477,000  
Payable for derivative contracts, at fair value, Consolidated Funds   3,931,000 713,000  
Futures        
Derivative [Line Items]        
Derivative Asset, Notional Amount   0 42,288,000  
Receivable on derivative contracts, at fair value   0 334,000  
Derivative Liability, Notional Amount   10,224,000 0  
Payable for derivative contracts, at fair value   217,000 0  
Currency Forwards        
Derivative [Line Items]        
Derivative Asset, Notional Amount   0 395,000  
Receivable on derivative contracts, at fair value   0 1,000  
Derivative Liability, Notional Amount   77,790,000 96,406,000  
Payable for derivative contracts, at fair value   851,000 709,000  
Receivable on derivative contracts, at fair value   3,302,000 186,000  
Payable for derivative contracts, at fair value, Consolidated Funds   88,000 96,000  
Swaps        
Derivative [Line Items]        
Derivative Asset, Notional Amount   383,752,000 13,702,000  
Receivable on derivative contracts, at fair value   2,911,000 917,000  
Derivative Liability, Notional Amount   607,717,000 52,905,000  
Payable for derivative contracts, at fair value   $ 23,169,000 $ 2,162,000  
Options        
Derivative [Line Items]        
Derivative Asset, Number of Instruments Held | contract [1]   550,188 654,506  
Receivable on derivative contracts, at fair value [1]   $ 60,066,000 $ 23,130,000  
Receivable on derivative contracts, at fair value   1,604,000 1,753,000  
Payable for derivative contracts, at fair value, Consolidated Funds   $ 750,000 $ 854,000  
Option        
Derivative [Line Items]        
Derivative Liability, Number of Instruments Held | contract [2]   306,306 90,730  
Payable for derivative contracts, at fair value [2]   $ 36,524,000 $ 13,211,000  
Pay to hold        
Derivative [Line Items]        
Derivative Asset, Number of Instruments Held | contract   0 0  
Receivable on derivative contracts, at fair value   $ 0 $ 743,000  
Receivable on derivatives contracts, at fair value [Member]        
Derivative [Line Items]        
Receivable on derivative contracts, at fair value   62,977,000 25,125,000  
Derivative Asset, Fair Value, Gross Asset   66,217,000 25,125,000  
Derivative Asset, Fair Value, Amount Offset Against Collateral [3]   3,240,000 0  
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0 0  
Derivative Asset, Fair Value, Amount Not Offset Against Collateral [4]   2,911,000 1,662,000  
Derivative asset, net of offset   60,066,000 23,463,000  
Payable for derivatives contracts, at fair value [Member]        
Derivative [Line Items]        
Payable for derivative contracts, at fair value   60,761,000 16,082,000  
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0 0  
Derivative Liability, Fair Value, Gross Liability   64,001,000 16,082,000  
Derivative Liability, Fair Value, Amount Offset Against Collateral [3]   3,240,000 0  
Derivative Liability, Fair Value, Amount Not Offset Against Collateral [4]   24,020,000 2,871,000  
Derivative Liability, net of offset   36,741,000 13,211,000  
Receivables from Brokers-Dealers and Clearing Organizations        
Derivative [Line Items]        
Collateral posted   10,500,000 11,200,000  
Other Income [Member]        
Derivative [Line Items]        
Realized and unrealized gains/(losses) related to derivatives trading activities   $ (13,000,000.0) $ 14,300,000 $ 3,900,000
[1] Includes the volume of contracts for index, equity, commodity future and cash conversion options.
[2] Includes the volume of contracts for index, equity, commodity future and cash conversion options.
[3] Includes financial instruments subject to enforceable master netting provisions that are permitted to be offset to the extent an event of default has occurred.
[4] Includes the amount of collateral held or posted.