Arch Capital Group Ltd., together with its subsidiaries, provides insurance, reinsurance, and mortgage insurance products in the United States, Canada, Bermuda, the United Kingdom, Europe, and Australia. The company operates through three segments: Insurance, Reinsurance, and Mortgage. The Insurance segment offers commercial automobile; commercial multiperil; financial and professional line liability; admitted, excess, and surplus casualty lines; property and short-tail specialty; workers compensation; and casualty insurance. Its Reinsurance segment provides reinsurance products for casualty; marine and aviation; property catastrophe; property excluding property catastrophe; and other specialty products. The Mortgage segment offers U.S. primary mortgage insurance business written predomina…