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Shareholders' Equity (Tables)
12 Months Ended
Dec. 31, 2020
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,
202020192018
Common Shares:
Shares issued and outstanding, beginning of year574,617,195 570,737,283 549,872,226 
Shares issued (1)2,646,164 2,835,994 2,757,506 
Conversion of Series D preferred shares (2)— — 17,022,600 
Restricted shares issued, net of cancellations1,737,482 1,043,918 1,084,951 
Shares issued and outstanding, end of year579,000,841 574,617,195 570,737,283 
Common shares in treasury, end of year(172,280,199)(168,997,994)(168,282,449)
Shares issued and outstanding, end of year406,720,642 405,619,201 402,454,834 
(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.
(2)    Such shares represent common shares that were issued upon conversion of the non-voting common equivalent preference shares issued in connection with the AIG acquisition.
Schedule of share repurchases
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202020192018
Aggregate cost of shares repurchased$83,472 $2,871 $282,762 
Shares repurchased2,850,102 110,598 10,559,850 
Average price per share repurchased$29.29 $25.96 $26.78