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Fair Value Measurements (Details) - USD ($)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Reconciliation of changes in fair value measurement, assets [abstract]    
Balance at beginning of year $ 871,613,584  
Realized losses on sales and redemptions for physical bullion (4,536,914) $ (5,400,608)
Change in unrealized gains (losses) 136,938,140 (76,160,284)
Balance at end of year 1,075,133,513 871,613,584
Recurring fair value measurement    
Reconciliation of changes in fair value measurement, assets [abstract]    
Balance at beginning of year 871,613,584 954,587,514
Purchases 77,968,605 7,501,519
Sales (25,102) (1,169,773)
Redemptions for physical bullion (6,824,800) (7,744,784)
Realized losses on sales and redemptions for physical bullion (4,536,914) (5,400,608)
Change in unrealized gains (losses) 136,938,140 (76,160,284)
Balance at end of year $ 1,075,133,513 $ 871,613,584