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Debt and Financing Arrangements - Schedule of senior notes outstanding (Details) - USD ($) $ in Thousands | Dec. 31, 2022 | Dec. 31, 2021
--- | --- | ---
Debt Instrument [Line Items] |  |  |
Carrying amount |  | $ 2,725,410 | $ 2,724,394
Senior Notes |  |  |
Debt Instrument [Line Items] |  |  |
Principal amount |  | 2,750,000 |
Carrying amount |  | $ 2,725,410 | 2,724,394
Senior Notes | 7.350% senior notes due 2034 |  |  |
Debt Instrument [Line Items] |  |  |
Stated interest rate (percentage) | [1] | 7.35% |
Principal amount | [1] | $ 300,000 |
Carrying amount |  | $ 297,618 | 297,488
Senior Notes | 5.144% senior notes due 2043 |  |  |
Debt Instrument [Line Items] |  |  |
Stated interest rate (percentage) | [2] | 5.144% |
Principal amount | [2] | $ 500,000 |
Carrying amount |  | $ 495,188 | 495,063
Senior Notes | 4.011% senior notes due 2026 |  |  |
Debt Instrument [Line Items] |  |  |
Stated interest rate (percentage) | [3] | 4.011% |
Principal amount | [3] | $ 500,000 |
Carrying amount |  | $ 498,073 | 497,633
Senior Notes | 5.031% senior notes due 2046 |  |  |
Debt Instrument [Line Items] |  |  |
Stated interest rate (percentage) | [4] | 5.031% |
Principal amount | [4] | $ 450,000 |
Carrying amount |  | $ 445,582 | 445,490
Senior Notes | 3.635% senior notes due 2050 |  |  |
Debt Instrument [Line Items] |  |  |
Stated interest rate (percentage) | [5] | 3.635% |
Principal amount | [5] | $ 1,000,000 |
Carrying amount |  | $ 988,949 | $ 988,720
[1] | Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
[2] | Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
[3] | Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
[4] | Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
[5] | Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050 (“2050 notes”).

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