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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, 2017
Mar. 31, 2016
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) $ 62,190,192 $ (199,193,372)
Futures contracts, unrealized gain (loss) (158,868,688) 189,535,723
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts (96,739,931) (9,478,908)
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) 62,190,192 (199,193,372)
Futures contracts, unrealized gain (loss) (158,868,688) 189,535,723
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts $ (96,678,496) $ (9,657,649)