Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Derivative Instruments, Gain (Loss) [Line Items]
Futures contracts, realized gain (loss)	$ 11,817,365	$ 117,918,993	$ (1,523,213)	$ 179,479,271
Futures contracts, unrealized gain (loss)	3,957,181	15,227,445	13,263,132	49,527,962
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]
Derivative Instruments, Gain (Loss) [Line Items]
Futures contracts, realized gain (loss)	11,817,365	117,918,993	(1,523,213)	179,479,271
Futures contracts, unrealized gain (loss)	3,957,181	15,227,445	13,263,132	49,527,962
Future Contracts, Net Realized and Unrealized Gain (Loss)	$ 15,774,546	$ 133,146,438	$ 11,739,919	$ 229,007,233