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Investments in Affiliates - Summary of Transactions in, and Earnings from, Investments in Affiliates (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Investments In And Advances To Affiliates [Line Items]        
Beginning Value     $ 317,739,851  
Change in Unrealized Appreciation (Depreciation) $ 112,273 $ 5,798 (219,055) $ (1,939)
Ending Value 225,041,490   225,041,490  
Affiliated Investments [Member]        
Investments In And Advances To Affiliates [Line Items]        
Beginning Value 280,055,248 206,651,848 317,739,851 69,754,530
Purchases at Cost 73,678,311 109,005,646 404,024,877 419,398,603
Proceeds from Sales (128,627,344) (95,895,019) (496,649,975) (269,388,378)
Change in Unrealized Appreciation (Depreciation) (75,979) (4,267) (84,517) (6,547)
Realized Gain (Loss) 11,254   11,254  
Ending Value 225,041,490 219,758,208 225,041,490 219,758,208
Dividend Income 1,298,415 11,959 1,877,905 29,628
Affiliated Investments [Member] | Invesco Government & Agency Portfolio, Institutional Class [Member]        
Investments In And Advances To Affiliates [Line Items]        
Beginning Value 243,992,848 180,561,925 281,668,913 53,703,257
Purchases at Cost 73,678,311 99,008,412 404,024,877 399,360,439
Proceeds from Sales (112,630,793) (95,895,019) (480,653,424) (269,388,378)
Ending Value 205,040,366 183,675,318 205,040,366 183,675,318
Dividend Income 1,185,038 11,959 1,737,949 26,968
Affiliated Investments [Member] | Exchange-Traded Fund [Member]        
Investments In And Advances To Affiliates [Line Items]        
Beginning Value 36,062,400 26,089,923 36,070,938 [1] 16,051,273
Purchases at Cost   9,997,234   20,038,164
Proceeds from Sales (15,996,551)   (15,996,551)  
Change in Unrealized Appreciation (Depreciation) (75,979) (4,267) (84,517) (6,547)
Realized Gain (Loss) 11,254   11,254  
Ending Value 20,001,124 [1] $ 36,082,890 20,001,124 [1] 36,082,890
Dividend Income $ 113,377   $ 139,956 $ 2,660
[1] Affiliated issuer. The issuer and/or the Fund is a wholly-owned subsidiary of Invesco Ltd., or is affiliated by having an investment adviser that is under common control of Invesco Ltd. See Note 8.