The Accident and Health business unit of Arch Insurance provides a variety of Travel (under the Arch RoamRight and Arch Red Sky affiliate brands), disability/paid family medical leave and Accident and Health insurance products. About Arch Capital Group Ltd. Arch Capital Group Ltd. (Nasdaq: ACGL) is a publicly listed Bermuda exempted company with approximately $17.4 billion in capital at June 30, 2023. Arch, which is part of the S&P 500 Index, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.