Would you like to swing on an Enstar? The Enstar Group swings for the fences through investments in insurance and reinsurance firms that are in run-off (insurers that have discontinued underwriting new business but still have liabilities on their books), usually buying a business at a discount to its book value. It has closed more than a dozen purchases since 2006. The company also manages run-off business for insurers and reinsurers, collecting consulting fees for its efforts. Executive officers and board members of Enstar collectively own approximately a quarter of the company's stock.