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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($) | 3 Months Ended | 6 Months Ended
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Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
Derivative Instruments Gain Loss [Line Items] |  |  |  |
Futures contracts, realized gain (loss) | $ (1,442,051) | $ 1,213,790 | $ (1,735,594) | $ (322,166)
Futures contracts, unrealized gain (loss) | 540,819 | (2,151,965) | (1,426,317) | (664,133)
Currency Futures Contracts [Member] | Not Designated as Hedging Instrument [Member] |  |  |  |
Derivative Instruments Gain Loss [Line Items] |  |  |  |
Futures contracts, realized gain (loss) | (1,442,051) | 1,213,790 | (1,735,594) | (322,166)
Futures contracts, unrealized gain (loss) | 540,819 | (2,151,965) | (1,426,317) | (664,133)
Future Contracts, Net Realized and Unrealized Gain (Loss) | $ (901,232) | $ (938,175) | $ (3,161,911) | $ (986,299)

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