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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, Net realized gain (loss) $ 571,129 $ (1,220,796)
Futures contracts, Net change in unrealized gain (loss) 54,494 (286,781)
Currency Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, Net realized gain (loss) 571,129 (1,220,796)
Futures contracts, Net change in unrealized gain (loss) 54,494 (286,781)
Futures Contracts, Net Realized and Net Change in Unrealized Gain (Loss) $ 625,623 $ (1,507,577)