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Australian Dollar Deposits - Additional Information (Detail)	9 Months Ended			12 Months Ended
	Sep. 30, 2022 USD ($)	Sep. 30, 2022 AUD ($)	Sep. 30, 2021 USD ($)	Dec. 31, 2021 AUD ($)	Sep. 30, 2022 AUD ($)	Dec. 31, 2021 USD ($)	Dec. 31, 2021 AUD ($)
Cash And Cash Equivalents [Abstract]
Annual nominal rate	0.40%				0.40%
Principal deposits	$ 14,455,898	$ 19,820,471	$ 11,566,005	$ 14,935,112
Principal redemptions	17,369,236	24,761,326	$ 41,798,443	84,490,117
Withdrawals (to pay expenses)		$ 407,222		$ 745,508
Deposits, interest bearing	$ 82,731,548				$ 128,674,860	$ 97,441,463	$ 134,022,937

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Rate of interest on investment.

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