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Trading Activities - Gross Fair Values of Derivative Instruments of Option Contracts as Separate Assets and Liabilities (Detail) - USD ($)
Dec. 31, 2017
Dec. 31, 2016
Options Purchased Indices [Member]    
Assets    
Total options purchased $ 211,200 $ 621,000
Options Purchased [Member]    
Assets    
Total options purchased 211,200 621,000
Written Options Indices [Member]    
Liabilities    
Total written options (209,000) (699,200)
Written Options [Member]    
Liabilities    
Total written options $ (209,000) $ (699,200)