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Trading Activities - Summary of Gross Fair Values of Derivative Instruments of Futures and Forward Contracts as Separate Assets and Liabilities (Detail) - USD ($)
Sep. 30, 2016
Dec. 31, 2015
Derivative [Line Items]    
Derivative assets $ 257,160 $ 240,259
Derivative liabilities (689,127) (817,341)
Futures Contracts [Member]    
Derivative [Line Items]    
Total unrealized appreciation on open futures and forward contracts 795,678 817,717
Total unrealized depreciation on open futures and forward contracts (574,580) (580,290)
Net unrealized appreciation on open futures and forward contracts 221,098 237,427
Futures Contracts [Member] | Commodity [Member]    
Derivative [Line Items]    
Derivative assets 123,446 352,267
Derivative liabilities (355,471) (146,363)
Futures Contracts [Member] | Equity [Member]    
Derivative [Line Items]    
Derivative assets 232,420 121,112
Derivative liabilities (41,912) (93,411)
Futures Contracts [Member] | Currencies [Member]    
Derivative [Line Items]    
Derivative assets 162,158 205,956
Derivative liabilities (25,595) (17,590)
Futures Contracts [Member] | Interest Rates [Member]    
Derivative [Line Items]    
Derivative assets 277,654 138,382
Derivative liabilities (151,602) (322,926)
Forward Contracts [Member]    
Derivative [Line Items]    
Derivative assets 36,062 2,832
Total unrealized appreciation on open futures and forward contracts 150,609 239,883
Derivative liabilities (114,547) (237,051)
Total unrealized depreciation on open futures and forward contracts (114,547) (237,051)
Net unrealized appreciation on open futures and forward contracts 36,062 2,832
Forward Contracts [Member] | Commodity [Member]    
Derivative [Line Items]    
Derivative assets 16,670 87,839
Total unrealized appreciation on open futures and forward contracts 16,670 87,839
Derivative liabilities (69,322) (32,341)
Total unrealized depreciation on open futures and forward contracts (69,322) (32,341)
Forward Contracts [Member] | Currencies [Member]    
Derivative [Line Items]    
Derivative assets 133,939 152,044
Total unrealized appreciation on open futures and forward contracts 133,939 152,044
Derivative liabilities (45,225) (204,710)
Total unrealized depreciation on open futures and forward contracts $ (45,225) $ (204,710)