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Investments of Operating Entities and Consolidated Funds - Derivatives (Details)
3 Months Ended 9 Months Ended 12 Months Ended
Dec. 05, 2016
Sep. 30, 2018
USD ($)
contract
Sep. 30, 2017
USD ($)
Sep. 30, 2018
USD ($)
contract
Sep. 30, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2017
USD ($)
contract
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   $ 32,229,000   $ 32,229,000     $ 69,177,000  
Payable for derivative contracts, at fair value   30,002,000   30,002,000     42,750,000  
Receivable on derivative contracts, at fair value   1,911,000   1,911,000     2,520,000  
Payable for derivative contracts, at fair value, Consolidated Funds   2,189,000   2,189,000     7,130,000  
Equity Swap                
Derivative [Line Items]                
Receivable on derivative contracts, at fair value   1,584,000   1,584,000     1,754,000  
Payable for derivative contracts, at fair value, Consolidated Funds   1,590,000   1,590,000     7,042,000  
Futures                
Derivative [Line Items]                
Derivative Asset, Notional Amount   0   0     3,819,350  
Receivable on derivative contracts, at fair value   0   0     58,000  
Derivative Liability, Notional Amount   25,474,000   25,474,000     16,796,000  
Payable for derivative contracts, at fair value   71,000   71,000     242,000  
Currency Forwards                
Derivative [Line Items]                
Derivative Asset, Notional Amount   79,309,515   79,309,515     233,136  
Receivable on derivative contracts, at fair value   1,088,000   1,088,000     5,000  
Derivative Liability, Notional Amount   2,897,000   2,897,000     62,439,000  
Payable for derivative contracts, at fair value   4,000   4,000     874,000  
Receivable on derivative contracts, at fair value   27,000   27,000     524,000  
Payable for derivative contracts, at fair value, Consolidated Funds   539,000   539,000     11,000  
Swaps                
Derivative [Line Items]                
Derivative Asset, Notional Amount   57,925,887   57,925,887     164,664,203  
Receivable on derivative contracts, at fair value   1,203,000   1,203,000     10,942,000  
Derivative Liability, Notional Amount   77,775,000   77,775,000     11,595,000  
Payable for derivative contracts, at fair value   $ 2,743,000   $ 2,743,000     $ 71,000  
Options                
Derivative [Line Items]                
Derivative Asset, Number of Instruments Held | contract [1]   660,776   660,776     283,112  
Receivable on derivative contracts, at fair value [1]   $ 29,330,000   $ 29,330,000     $ 58,172,000  
Receivable on derivative contracts, at fair value   300,000   300,000     242,000  
Payable for derivative contracts, at fair value, Consolidated Funds   $ 60,000   $ 60,000     $ 77,000  
Option                
Derivative [Line Items]                
Derivative Liability, Number of Instruments Held | contract [2]   96,500   96,500     57,043  
Payable for derivative contracts, at fair value [2]   $ 27,184,000   $ 27,184,000     $ 41,563,000  
Pay to hold                
Derivative [Line Items]                
Derivative Asset, Number of Instruments Held | contract   0   0     0  
Receivable on derivative contracts, at fair value   $ 608,000   $ 608,000     $ 0  
Receivable on derivatives contracts, at fair value [Member]                
Derivative [Line Items]                
Receivable on derivative contracts, at fair value   32,229,000   32,229,000     69,177,000  
Derivative Asset, Fair Value, Gross Asset   32,229,000   32,229,000     69,177,000  
Derivative Asset, Fair Value, Amount Offset Against Collateral [3]   0   0     0  
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0   0     0  
Derivative Asset, Fair Value, Amount Not Offset Against Collateral [4]   2,899,000   2,899,000     10,948,000  
Derivative asset, net of offset   29,330,000   29,330,000     58,229,000  
Payable for derivatives contracts, at fair value [Member]                
Derivative [Line Items]                
Payable for derivative contracts, at fair value   30,002,000   30,002,000     42,750,000  
Financial Instruments, Owned and Pledged as Collateral, at Fair Value   0   0     0  
Derivative Liability, Fair Value, Gross Liability   30,002,000   30,002,000     42,750,000  
Derivative Liability, Fair Value, Amount Offset Against Collateral [3]   0   0     0  
Derivative Liability, Fair Value, Amount Not Offset Against Collateral [4]   2,747,000   2,747,000     1,031,000  
Derivative Liability, net of offset   27,255,000   27,255,000     41,719,000  
Receivables from Brokers-Dealers and Clearing Organizations                
Derivative [Line Items]                
Collateral posted   9,800,000   9,800,000     $ 13,500,000  
Other Income [Member]                
Derivative [Line Items]                
Realized and unrealized gains/(losses) related to derivatives trading activities   (7,500,000) $ 500,000 6,400,000 $ (4,900,000)      
2019 convertible note | Convertible Debt                
Derivative [Line Items]                
Call Option, Fair Value               $ 35,700,000
Open Option Contracts Written, at Fair Value   200,000   $ 200,000        
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.