When it comes to natural disasters, such as floods or tornadoes, most companies wouldn’t even consider going a day without insurance. “It’s still a new idea for most companies,” says Julie Davis, executive vice president and managing director at Wired for Growth, a unit of Aon, a major risk assessment and insurance brokerage. Once called cyberinsurance and still sometimes known as cyber liability insurance, these terms all describe ways that a company can protect itself against the eventuality of a business-crippling hack, data loss, or privacy violation.