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Additional Financial Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Jun. 30, 2017
Dec. 31, 2016
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 1,371,935,248 $ 2,403,838,023
Exchange-Traded Fund 250,525,440  
Money Market Mutual Fund 96,035,039 131,029,805
Total investments, at value (cost $1,717,876,964 and $2,534,934,371, respectively) 1,718,495,727 2,534,867,828
Commodity Futures Contracts (100,033,905) 101,032,417
Total Investments 1,618,461,822 2,635,900,245
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 250,525,440  
Money Market Mutual Fund 96,035,039 131,029,805
Total investments, at value (cost $1,717,876,964 and $2,534,934,371, respectively) 346,560,479 131,029,805
Commodity Futures Contracts (100,033,905) 101,032,417
Total Investments 246,526,574 232,062,222
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 1,371,935,248 2,403,838,023
Total investments, at value (cost $1,717,876,964 and $2,534,934,371, respectively) 1,371,935,248 2,403,838,023
Total Investments $ 1,371,935,248 $ 2,403,838,023