Every day, insurance companies sell policies to homeowners to cover the cost of damage in the case of fire. Why would those companies agree to pay out in full to a policyholder even if a fire had not occurred?

That is the type of question being asked about the federal government’s bailout of American International Group in which the insurance company funneled $49.5 billion in taxpayer funds to financial institutions, including Deutsche Bank, Goldman Sachs and Merrill Lynch. The payments, which amount to almost 30 percent of the $170 billion in taxpayer commitments provided to A.I.G. since its near collapse last September, were disclosed by the company on Sunday.