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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) $ 15,903,983 $ 22,793,178
Futures contracts, unrealized gain (loss) (24,324,439) 2,185,127
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) 15,903,983 22,793,178
Futures contracts, unrealized gain (loss) (24,324,439) 2,185,127
Future Contracts, Net Realized and Unrealized Gain (Loss) $ (8,420,456) $ 24,978,305