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, realized gain (loss)	$ 22,793,178	$ 3,101,877
Futures contracts, unrealized gain (loss)	2,185,127	9,896,964
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member]
Derivative Instruments, Gain (Loss) [Line Items]
Futures contracts, realized gain (loss)	22,793,178	3,101,877
Futures contracts, unrealized gain (loss)	2,185,127	9,896,964
Future Contracts, Net Realized and Unrealized Gain (Loss)	$ 24,978,305	$ 12,998,841