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Australian Dollar Deposits - Additional Information (Detail)
12 Months Ended
Dec. 31, 2022
USD ($)
Dec. 31, 2022
AUD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2021
AUD ($)
Dec. 31, 2022
AUD ($)
Dec. 31, 2021
AUD ($)
Cash And Cash Equivalents [Abstract]            
Annual nominal rate 0.87%       0.87%  
Principal deposits $ 24,428,829 $ 34,667,570 $ 11,566,005 $ 14,935,112    
Principal redemptions 26,984,531 49,506,491 63,174,072 84,490,117    
Withdrawals (to pay expenses)   $ 407,222   $ 745,508    
Deposits, interest bearing $ 80,548,483   $ 97,441,463   $ 118,776,794 $ 134,022,937