Derivative Instruments and Hedging Activities - Schedule of Summary of Realized and Unrealized Gains and Losses of Derivative Instruments Utilized by Master Fund (Detail) - USD ($)		12 Months Ended
		Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Derivative [Line Items]
Realized Gain (Loss) on Derivative Instruments	[1]	$ (5,896,732)	$ (8,933,189)	$ (3,917,989)
Net Increase (Decrease) in Unrealized Appreciation/Depreciation on Derivative Instruments		13,722,987	(8,597,597)	2,461,480
Futures [Member]
Derivative [Line Items]
Realized Gain (Loss) on Derivative Instruments		(5,896,732)	(8,933,189)	(3,917,989)
Net Increase (Decrease) in Unrealized Appreciation/Depreciation on Derivative Instruments		$ 13,722,987	$ (8,597,597)	$ 2,461,480

[1] Includes brokerage commissions of: