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Service Providers and Related Party Agreements - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended
Feb. 26, 2015
Sep. 30, 2016
Sep. 30, 2016
Sep. 30, 2015
Dec. 31, 2015
Dec. 31, 2014
Related Party Transaction [Line Items]            
Management fee percentage per annum of daily net asset     0.75%      
Managing owner waived fees   $ 8,522 $ 8,522      
Compensation for service to advisors     0      
United States Treasury Obligations   $ 700,927,362 $ 700,927,362   $ 1,077,913,905 $ 1,006,974,568
Cash held by commodity broker           $ 18,108,522
Cash transfer to Commodity Broker to satisfy variation margin requirements       $ 55,249,567    
Bank of New York Mellon [Member]            
Related Party Transaction [Line Items]            
Cash transferred to custodian $ 55,000,000          
United States Treasury Obligations transferred to custodian 1,074,986,895          
Commodity Broker [Member]            
Related Party Transaction [Line Items]            
Cash transfer to Commodity Broker to satisfy variation margin requirements 55,249,567          
United States Treasury Obligations transferred to Commodity Broker $ 32,000,000          
Through June 20, 2017 [Member]            
Related Party Transaction [Line Items]            
Management fee waive on net advisory fees, percentage     100.00%