Derivative Instruments - Fair Value of Derivative Instruments (Details) - USD ($)	12 Months Ended
	Dec. 31, 2021	Sep. 30, 2022
Fair Values of Derivative Instruments
Asset Derivatives	$ 1,077,019
Liability Derivatives	$ (1,444,698)
Interest rates | Deutsche Bank Total Return Swap Terminating June 30, 2025
Fair Values of Derivative Instruments
Sector exposure index	26.00%
Stock indices | Deutsche Bank Total Return Swap Terminating June 30, 2025
Fair Values of Derivative Instruments
Sector exposure index	23.00%
Futures Contracts
Fair Values of Derivative Instruments
Asset Derivatives	$ 1,077,019	$ 3,382,379
Liability Derivatives	(853,067)	(1,426,847)
Fair Value	223,952	1,955,532
Futures Contracts | Agriculturals
Fair Values of Derivative Instruments
Asset Derivatives	78,449	48,908
Liability Derivatives	(92,756)	(195,926)
Fair Value	(14,307)	(147,018)
Futures Contracts | Currencies
Fair Values of Derivative Instruments
Asset Derivatives	82,177	388,872
Liability Derivatives	(235,432)	(63,136)
Fair Value	(153,255)	325,736
Futures Contracts | Energy
Fair Values of Derivative Instruments
Asset Derivatives	51,769	87,763
Liability Derivatives	(40,364)	(229,901)
Fair Value	11,405	(142,138)
Futures Contracts | Interest rates
Fair Values of Derivative Instruments
Asset Derivatives	347,549	1,623,762
Liability Derivatives	(167,687)	(518,534)
Fair Value	179,862	1,105,228
Futures Contracts | Meats
Fair Values of Derivative Instruments
Asset Derivatives	12,651	23,277
Liability Derivatives	(4,114)	(28,745)
Fair Value	8,537	(5,468)
Futures Contracts | Metals
Fair Values of Derivative Instruments
Asset Derivatives	228,905	416,876
Liability Derivatives	(189,619)	(148,297)
Fair Value	39,286	268,579
Futures Contracts | Soft commodities
Fair Values of Derivative Instruments
Asset Derivatives	101,421	70,057
Liability Derivatives	(24,286)	(35,881)
Fair Value	77,135	34,176
Futures Contracts | Stock indices
Fair Values of Derivative Instruments
Asset Derivatives	174,098	722,864
Liability Derivatives	(98,809)	(206,427)
Fair Value	$ 75,289	$ 516,437
Forward Contracts | Currencies | Deutsche Bank Total Return Swap Terminating June 30, 2025
Fair Values of Derivative Instruments
Sector exposure index	51.00%
Swap Contracts
Fair Values of Derivative Instruments
Liability Derivatives	$ (591,631)
Fair Value	$ (591,631)
Swap Contracts | Deutsche Bank Total Return Swap Terminating June 30, 2025
Fair Values of Derivative Instruments
Sector exposure index	100.00%