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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 $ 2,021,998,963  
Realized gain (losses) on sales and redemptions for physical bullion (2,449,389) $ 8,822,164
Change in unrealized gains (losses) 368,815,119 (37,474,945)
Balance at end of year 2,457,683,227 2,021,998,963
Recurring fair value measurement    
Reconciliation of changes in fair value measurement, assets [abstract]    
Balance at beginning of year 2,021,998,963 2,258,396,671
Purchases 93,556,274 63,145,069
Sales (3,440) (2,498,286)
Redemptions for physical bullion (29,133,078) (250,747,382)
Realized gain (losses) on sales and redemptions for physical bullion 2,449,389 (8,822,164)
Change in unrealized gains (losses) 368,815,119 (37,474,945)
Balance at end of year $ 2,457,683,227 $ 2,021,998,963