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Trading Activities - Gross Fair Values of Derivative Instruments of Futures and Forward Contracts Traded (Detail) - USD ($)
Jun. 30, 2016
Dec. 31, 2015
Futures Contracts [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts $ 3,839,879 $ 3,831,162
Total unrealized appreciation on open contracts (1,220,754) (2,431,726)
Net unrealized appreciation (depreciation) on open contracts 2,619,125 1,399,436
Futures Contracts [Member] | Commodity [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 1,082,519 2,019,400
Total unrealized appreciation on open contracts (588,230) (937,844)
Futures Contracts [Member] | Equity [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 358,731 196,959
Total unrealized appreciation on open contracts (307,292) (421,360)
Futures Contracts [Member] | Foreign Currency [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 113,861 1,206,216
Total unrealized appreciation on open contracts (78,860) (469,882)
Futures Contracts [Member] | Interest Rate [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 2,284,768 408,587
Total unrealized appreciation on open contracts (246,372) (602,640)
Forward Contracts [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 2,096,970 1,168,919
Total unrealized appreciation on open contracts (2,434,951) (1,125,088)
Net unrealized appreciation (depreciation) on open contracts (337,981) 43,831
Forward Contracts [Member] | Commodity [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 640,314 740,942
Total unrealized appreciation on open contracts (1,469,694) (954,788)
Forward Contracts [Member] | Foreign Currency [Member]    
Trading Activity, Gains and Losses, Net [Line Items]    
Total unrealized appreciation on open contracts 1,456,656 427,977
Total unrealized appreciation on open contracts $ (965,257) $ (170,300)