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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) $ (3,230,803) $ (11,235,553)
Futures contracts, unrealized gain (loss) (12,528,321) (24,474,442)
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Currency Futures Contracts (15,784,260) (35,654,449)
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) (3,230,803) (11,235,553)
Futures contracts, unrealized gain (loss) (12,528,321) (24,474,442)
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Currency Futures Contracts $ (15,759,124) $ (35,709,995)