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Summary of Significant Accounting Policies - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2016
Sep. 30, 2015
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ 13,910,618 $ 5,659,989 $ (18,589,512) $ 62,944,636
Futures contracts, unrealized gain (loss) (20,138,735) 13,637 (8,758,768) (14,049,350)
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations and Currency Futures Contracts (6,181,631) 5,703,877 (27,295,854) 48,921,102
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) 13,910,618 5,659,989 (18,589,512) 62,944,636
Futures contracts, unrealized gain (loss) (20,138,735) 13,637 (8,758,768) (14,049,350)
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations and Currency Futures Contracts $ (6,228,117) $ 5,673,626 $ (27,348,280) $ 48,895,286