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Shareholders' Equity (Tables) | 12 Months Ended
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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,
| 2020 |  | 2019 |  | 2018
Common Shares: |  |  |  |  |
Shares issued and outstanding, beginning of year | 574,617,195 |  |  | 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 cancellations | 1,737,482 |  |  | 1,043,918 |  |  | 1,084,951 |
Shares issued and outstanding, end of year | 579,000,841 |  |  | 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 year | 406,720,642 |  |  | 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,
| 2020 |  | 2019 |  | 2018
Aggregate cost of shares repurchased | $ | 83,472 |  |  | $ | 2,871 |  |  | $ | 282,762 |
Shares repurchased | 2,850,102 |  |  | 110,598 |  |  | 10,559,850 |
Average price per share repurchased | $ | 29.29 |  |  | $ | 25.96 |  |  | $ | 26.78 |

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- Definition The entire disclosure for treasury stock, including, but not limited to, average cost per share, description of share repurchase program, shares repurchased, shares held for each class of treasury stock. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 30 -URI http://asc.fasb.org/subtopic&trid=2208821 + Details
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