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Shareholders' Equity (Tables)
12 Months Ended
Dec. 31, 2022
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,
202220212020
Common Shares:
Shares issued and outstanding, beginning of year583,289,850 579,000,841 574,617,195 
Shares issued (1)3,517,399 2,669,229 2,646,164 
Restricted shares issued, net of cancellations1,443,513 1,619,780 1,737,482 
Shares issued and outstanding, end of year588,250,762 583,289,850 579,000,841 
Common shares in treasury, end of year(217,904,765)(204,365,956)(172,280,199)
Shares issued and outstanding, end of year370,345,997 378,923,894 406,720,642 
(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,
202220212020
Aggregate cost of shares repurchased$585,823 $1,234,294 $83,472 
Shares repurchased12,891,405 31,486,830 2,850,102 
Average price per share repurchased$45.44 $39.20 $29.29