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Shareholders' Equity (Tables) | 12 Months Ended
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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,
| 2022 |  | 2021 |  | 2020
Common Shares: |  |  |  |  |
Shares issued and outstanding, beginning of year | 583,289,850 |  |  | 579,000,841 |  |  | 574,617,195 |
Shares issued (1) | 3,517,399 |  |  | 2,669,229 |  |  | 2,646,164 |
Restricted shares issued, net of cancellations | 1,443,513 |  |  | 1,619,780 |  |  | 1,737,482 |
Shares issued and outstanding, end of year | 588,250,762 |  |  | 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 year | 370,345,997 |  |  | 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,
| 2022 |  | 2021 |  | 2020
Aggregate cost of shares repurchased | $ | 585,823 |  |  | $ | 1,234,294 |  |  | $ | 83,472 |
Shares repurchased | 12,891,405 |  |  | 31,486,830 |  |  | 2,850,102 |
Average price per share repurchased | $ | 45.44 |  |  | $ | 39.20 |  |  | $ | 29.29 |

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