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Statements of Cash Flows (Unaudited) - USD ($)
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Cash flows from operating activities:    
Net Income (Loss) $ (95,568,389) $ 764,171,677
Adjustments to reconcile net income (loss) to net cash provided by (used in) operating activities:    
Cost of securities purchased (1,067,047,920) (678,876,656)
Proceeds from securities sold and matured 1,279,999,998 622,029,600
Cost of affiliated investments purchased (1,180,865,932) (2,696,272,106)
Proceeds from affiliated investments sold 1,462,193,539 1,397,939,891
Net accretion of discount on United States Treasury Obligations (12,335,946) (394,839)
Net realized (gain) loss on United States Treasury Obligations and Affiliated Investments 4  
Net change in unrealized (gain) loss on United States Treasury Obligations, Affiliated Investments and LME Commodity Futures Contracts (19,329,889) (61,951,319)
Change in operating assets and liabilities:    
Dividends from affiliates 413,185 (324,363)
Variation margin - Commodity Futures Contracts 4,986,095 50,422,243
LME Commodity Futures Contracts 10,315,069 (7,533,428)
Management fees (398,481) 1,083,918
Brokerage commissions and fees (1,274) 1,032
Net cash provided by (used in) operating activities 382,360,059 (609,704,350)
Cash flows from financing activities:    
Proceeds from purchases of Shares 61,680,141 1,090,968,482
Redemption of Shares (444,040,200) (385,408,805)
Net cash provided by (used in) financing activities (382,360,059) 705,559,677
Net change in cash   95,855,327
Cash at end of period   95,855,327
Supplemental disclosure of cash flow information    
Cash paid for interest $ 168,585 $ 11,092