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Australian Dollar Deposits - Additional Information (Detail)
3 Months Ended 12 Months Ended
Mar. 31, 2022
USD ($)
Mar. 31, 2022
AUD ($)
Mar. 31, 2021
USD ($)
Dec. 31, 2021
AUD ($)
Mar. 31, 2022
AUD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2021
AUD ($)
Cash And Cash Equivalents [Abstract]              
Annual nominal rate 0.00%       0.00%    
Principal deposits $ 3,583,297 $ 4,957,850 $ 11,566,005 $ 14,935,112      
Principal redemptions 3,528,348 4,960,081 $ 7,715,269 84,490,117      
Withdrawals (to pay expenses)   $ 138,969   $ 745,508      
Deposits, interest bearing $ 100,538,232       $ 133,881,737 $ 97,441,463 $ 134,022,937