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Investments of Operating Entities and Consolidated Funds - Derivatives (Details)
3 Months Ended 12 Months Ended
Dec. 05, 2016
Mar. 31, 2018
USD ($)
contract
Mar. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2017
USD ($)
contract
Dec. 14, 2017
USD ($)
Mar. 10, 2014
USD ($)
Derivative [Line Items]              
Warrants issued       $ 15,200,000      
Cost of hedge transaction and warrant, net             $ 20,500,000
Stockholders' Equity Note, Stock Split, Conversion Ratio 0.25            
Receivable on derivative contracts, at fair value   $ 34,913,000     $ 69,177,000    
Payable for derivative contracts, at fair value   48,875,000     42,750,000    
Receivable on derivative contracts, at fair value, Consolidated Funds   1,866,000     2,520,000    
Payable for derivative contracts, at fair value, Consolidated Funds   1,980,000     7,130,000    
Equity Swap              
Derivative [Line Items]              
Receivable on derivative contracts, at fair value, Consolidated Funds   1,407,000     1,754,000    
Payable for derivative contracts, at fair value, Consolidated Funds   1,660,000     7,042,000    
Futures              
Derivative [Line Items]              
Derivative Asset, Notional Amount   3,978,850     3,819,350    
Receivable on derivative contracts, at fair value   748,000     58,000    
Derivative Liability, Notional Amount   26,583,000     16,796,000    
Payable for derivative contracts, at fair value   209,000     242,000    
Currency Forwards              
Derivative [Line Items]              
Derivative Asset, Notional Amount   1,775,435     233,136    
Receivable on derivative contracts, at fair value   520,000     5,000    
Derivative Liability, Notional Amount   77,431,000     62,439,000    
Payable for derivative contracts, at fair value   620,000     874,000    
Receivable on derivative contracts, at fair value, Consolidated Funds   4,000     524,000    
Payable for derivative contracts, at fair value, Consolidated Funds   166,000     11,000    
Swaps              
Derivative [Line Items]              
Derivative Asset, Notional Amount   64,488,819     164,664,203    
Receivable on derivative contracts, at fair value   1,631,000     10,942,000    
Derivative Liability, Notional Amount   27,927,000     11,595,000    
Payable for derivative contracts, at fair value   $ 623,000     $ 71,000    
Options              
Derivative [Line Items]              
Derivative Asset, Number of Instruments Held | contract [1]   268,231     283,112    
Receivable on derivative contracts, at fair value [1]   $ 31,216,000     $ 58,172,000    
Receivable on derivative contracts, at fair value, Consolidated Funds   455,000     242,000    
Payable for derivative contracts, at fair value, Consolidated Funds   $ 154,000     $ 77,000    
Put Option              
Derivative [Line Items]              
Derivative Liability, Number of Instruments Held | contract [2]   63,328     57,043    
Payable for derivative contracts, at fair value [2]   $ 47,423,000     $ 41,563,000    
Pay To Hold [Member]              
Derivative [Line Items]              
Derivative Asset, Number of Instruments Held | contract   0     0    
Receivable on derivative contracts, at fair value   $ 798,000     $ 0    
Receivable on derivatives contracts, at fair value [Member]              
Derivative [Line Items]              
Receivable on derivative contracts, at fair value   34,913,000     69,177,000    
Derivative Asset, Fair Value, Gross Asset   34,913,000     69,177,000    
Derivative Asset, Fair Value, Amount Offset Against Collateral [3]   0     0    
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0     0    
Derivative Asset, Fair Value, Amount Not Offset Against Collateral [4]   2,095,000     10,948,000    
Derivative asset, net of offset   32,818,000     58,229,000    
Payable for derivatives contracts, at fair value [Member]              
Derivative [Line Items]              
Payable for derivative contracts, at fair value   48,875,000     42,750,000    
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0     0    
Derivative Liability, Fair Value, Gross Liability   48,875,000     42,750,000    
Derivative Liability, Fair Value, Amount Offset Against Collateral [3]   0     0    
Derivative Liability, Fair Value, Amount Not Offset Against Collateral [4]   1,314,000     1,031,000    
Derivative Liability, net of offset   47,561,000     41,719,000    
Receivables from Brokers-Dealers and Clearing Organizations              
Derivative [Line Items]              
Collateral posted   11,900,000     $ 13,500,000    
Other Income [Member]              
Derivative [Line Items]              
Realized and unrealized gains/(losses) related to derivatives trading activities   7,900,000 $ (8,600,000)        
2022 convertible note [Member] | Convertible Debt              
Derivative [Line Items]              
Call Option, Fair Value   20,900,000       $ 23,400,000  
2019 convertible note [Member] | Convertible Debt              
Derivative [Line Items]              
Call Option, Fair Value             $ 35,700,000
Open Option Contracts Written, at Fair Value   500,000          
Derivative, Loss on Derivative   $ 600,000          
[1] Includes index, equity, commodity future and cash conversion options.
[2] Includes 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.