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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, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ (9,975,184) $ 11,817,365 $ 165,805 $ (1,523,213)
Futures contracts, unrealized gain (loss) (5,548,181) 3,957,181 2,611,563 13,263,132
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) (9,975,184) 11,817,365 165,805 (1,523,213)
Futures contracts, unrealized gain (loss) (5,548,181) 3,957,181 2,611,563 13,263,132
Future Contracts, Net Realized and Unrealized Gain (Loss) $ (15,523,365) $ 15,774,546 $ 2,777,368 $ 11,739,919