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Summary of Significant Accounting Policies - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2016
Mar. 31, 2015
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) $ (226,541) $ (11,690,959)
Futures contracts, unrealized gain (loss) 21,297,986 7,982,368
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations and Commodity Futures Contracts 21,102,791 (3,709,192)
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) (226,541) (11,690,959)
Futures contracts, unrealized gain (loss) 21,297,986 7,982,368
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations and Commodity Futures Contracts $ 21,071,445 $ (3,708,591)