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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - Currency Futures Contracts [Member] - Not Designated as Hedging Instrument [Member] - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ 11,195,317 $ (11,617,887) $ 7,653,997 $ (36,671,680)
Futures contracts, unrealized gain (loss) (2,131,225) (2,916,978) 12,452,884 2,989,942
Future Contracts, Net Realized and Unrealized Gain (Loss) $ 9,064,092 $ (14,534,865) $ 20,106,881 $ (33,681,738)