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Additional Valuation Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Dec. 31, 2017
Dec. 31, 2016
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 1,839,039,728 $ 2,403,838,023
Exchange-Traded Fund 249,742,548  
Money Market Mutual Fund 68,003,679 131,029,805
Total Investments in Securities 2,156,785,955 2,534,867,828
Commodity Futures Contracts, Appreciation 141,995,427  
Commodity Futures Contracts, Depreciation (26,326,112)  
Commodity Futures Contracts 115,669,315 101,032,417
Total Investments 2,272,455,270 2,635,900,245
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 249,742,548  
Money Market Mutual Fund 68,003,679 131,029,805
Total Investments in Securities 317,746,227 131,029,805
Commodity Futures Contracts, Appreciation 141,995,427  
Commodity Futures Contracts, Depreciation (26,326,112)  
Commodity Futures Contracts 115,669,315 101,032,417
Total Investments 433,415,542 232,062,222
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 1,839,039,728 2,403,838,023
Total Investments in Securities 1,839,039,728 2,403,838,023
Total Investments $ 1,839,039,728 $ 2,403,838,023