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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ 7,182,698 $ (29,244,561) $ 10,140,989 $ (13,340,578)
Futures contracts, unrealized gain (loss) (1,360,628) 33,630,390 8,159,744 9,305,951
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) 7,182,698 (29,244,561) 10,140,989 (13,340,578)
Futures contracts, unrealized gain (loss) (1,360,628) 33,630,390 8,159,744 9,305,951
Future Contracts, Net Realized and Unrealized Gain (Loss) $ 5,822,070 $ 4,385,829 $ 18,300,733 $ (4,034,627)