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Australian Dollar Deposits - Additional Information (Detail)
3 Months Ended 12 Months Ended
Mar. 31, 2023
USD ($)
Mar. 31, 2023
AUD ($)
Mar. 31, 2022
USD ($)
Dec. 31, 2022
AUD ($)
Mar. 31, 2023
AUD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2022
AUD ($)
Cash And Cash Equivalents [Abstract]              
Annual nominal rate 1.22%       1.22%    
Principal deposits $ 3,410,985 $ 4,949,033 $ 3,583,297 $ 34,667,570      
Principal redemptions 13,464,109 $ 9,898,066 $ 3,528,348 49,506,491      
Withdrawals (to pay expenses)       $ 407,222      
Deposits, interest bearing $ 76,236,369       $ 113,827,761 $ 80,548,483 $ 118,776,794