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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Derivative Instruments, Gain (Loss) [Line Items]    
Futures Contracts, Net Realized Gain (Loss) $ (1,165,795) $ (1,053,564)
Futures Contracts, Net Unrealized Gain (Loss) (214,449) (2,259,997)
Currency Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures Contracts, Net Realized Gain (Loss) (1,165,795) (1,053,564)
Futures Contracts, Net Unrealized Gain (Loss) (214,449) (2,259,997)
Future Contracts, Net Realized and Unrealized Gain (Loss) $ (1,380,244) $ (3,313,561)