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Shareholders' Equity (Tables)
12 Months Ended
Dec. 31, 2021
Stockholders' Equity Note [Abstract]  
Roll-forward of changes in issued and outstanding Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202120202019
Common Shares:
Shares issued and outstanding, beginning of year579,000,841 574,617,195 570,737,283 
Shares issued (1)2,669,229 2,646,164 2,835,994 
Restricted shares issued, net of cancellations1,619,780 1,737,482 1,043,918 
Shares issued and outstanding, end of year583,289,850 579,000,841 574,617,195 
Common shares in treasury, end of year(204,365,956)(172,280,199)(168,997,994)
Shares issued and outstanding, end of year378,923,894 406,720,642 405,619,201 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
Schedule of share repurchases
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202120202019
Aggregate cost of shares repurchased$1,234,294 $83,472 $2,871 
Shares repurchased31,486,830 2,850,102 110,598 
Average price per share repurchased$39.20 $29.29 $25.96