Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)	3 Months Ended		6 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Derivative Instruments, Gain (Loss) [Line Items]
Futures contracts, realized gain (loss)	$ 38,767,100	$ (6,643,197)	$ 61,560,278	$ (3,541,320)
Futures contracts, unrealized gain (loss)	32,115,390	4,687,145	34,300,517	14,584,109
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]
Derivative Instruments, Gain (Loss) [Line Items]
Futures contracts, realized gain (loss)	38,767,100	(6,643,197)	61,560,278	(3,541,320)
Futures contracts, unrealized gain (loss)	32,115,390	4,687,145	34,300,517	14,584,109
Future Contracts, Net Realized and Unrealized Gain (Loss)	$ 70,882,490	$ (1,956,052)	$ 95,860,795	$ 11,042,789