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Fair Value Measurements - Derivative Instruments Priced at Fair Value Using Unobservable Inputs (Detail) - USD ($)
Jun. 30, 2016
Dec. 31, 2015
Assets    
Total assets $ 21,934,173 $ 60,493,287
Liabilities    
Total liabilities 3,655,705 3,556,814
Forward Contracts [Member]    
Assets    
Total assets 2,096,970 1,168,919
Liabilities    
Total liabilities 2,434,951 1,125,088
U.S. Treasury Bills [Member]    
Assets    
Total assets 15,997,324 55,493,206
Futures Contracts [Member]    
Assets    
Total assets 3,839,879 3,831,162
Liabilities    
Total liabilities 1,220,754 2,431,726
Level 1 [Member]    
Assets    
Total assets 4,480,193 4,572,104
Liabilities    
Total liabilities 2,690,448 3,386,514
Level 1 [Member] | Forward Contracts [Member]    
Assets    
Total assets 640,314 740,942
Liabilities    
Total liabilities 1,469,694 954,788
Level 1 [Member] | Futures Contracts [Member]    
Assets    
Total assets 3,839,879 3,831,162
Liabilities    
Total liabilities 1,220,754 2,431,726
Level 2 [Member]    
Assets    
Total assets 17,453,980 55,921,183
Liabilities    
Total liabilities 965,257 170,300
Level 2 [Member] | Forward Contracts [Member]    
Assets    
Total assets 1,456,656 427,977
Liabilities    
Total liabilities 965,257 170,300
Level 2 [Member] | U.S. Treasury Bills [Member]    
Assets    
Total assets $ 15,997,324 $ 55,493,206