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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, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Derivative Instruments, Gain (Loss) [Line Items]        
Futures Contracts, Net Realized Gain (Loss) $ (2,081,894) $ (3,633,785) $ (2,404,060) $ (6,987,589)
Futures Contracts, Net Unrealized Gain (Loss) (511,682) (876,505) (1,175,815) (1,786,319)
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures Contracts, Net Realized Gain (Loss) (2,081,894) (3,633,785) (2,404,060) (6,987,589)
Futures Contracts, Net Unrealized Gain (Loss) (511,682) (876,505) (1,175,815) (1,786,319)
Future Contracts, Net Realized and Unrealized Gain (Loss) $ (2,593,576) $ (4,510,290) $ (3,579,875) $ (8,773,908)