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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ (19,382,968) $ 15,257,206 $ (1,374,992) $ 34,000,631
Futures contracts, unrealized gain (loss) 196,505 12,769,475 (51,262,745) 16,881,325
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts (19,347,778) 28,062,349 (52,636,174) 50,966,624
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) (19,382,968) 15,257,206 (1,374,992) 34,000,631
Futures contracts, unrealized gain (loss) 196,505 12,769,475 (51,262,745) 16,881,325
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts $ (19,186,463) $ 28,026,681 $ (52,637,737) $ 50,881,956