Money Sense Magazine Every time you turn on the news you hear about people dying in accidents. So it’s no wonder that many of us buy accidental death insurance, either as a stand-alone policy, or as a rider on an existing policy. The insurance is designed to provide for your family should you be killed in a mishap, such as a car crash or fall. “There’s only one problem with accidental death insurance,” LSM expert says. “It doesn’t make any sense.”