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Australian Dollar Deposits - Additional Information (Detail)
9 Months Ended 12 Months Ended
Sep. 30, 2023
USD ($)
Sep. 30, 2023
AUD ($)
Sep. 30, 2022
USD ($)
Dec. 31, 2022
AUD ($)
Sep. 30, 2023
AUD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2022
AUD ($)
Cash and Cash Equivalents [Abstract]              
Annual nominal rate 1.67%       1.67%    
Principal deposits $ 6,690,122 $ 9,898,066 $ 14,455,898 $ 34,667,570      
Principal redemptions 23,375,322 $ 24,745,165 $ 17,369,236 49,506,491      
Cash paid for Sponsor's fee       $ 407,222      
Deposits, interest bearing $ 67,076,082       $ 103,929,695 $ 80,548,483 $ 118,776,794