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The cost of fixing Fannie Mae and Freddie Mac, the mortgage companies that last year bought or guaranteed three-quarters of all U.S. home loans, will be at least $160 billion and could grow to as much as $1 trillion after the biggest bailout in American history.

Fannie and Freddie, now 80 percent owned by U.S. taxpayers, already have drawn $145 billion from an unlimited line of government credit granted to ensure that homebuyers can get loans while the private housing-finance industry is moribund.

That surpasses the amount spent on rescues of American International Group Inc., General Motors Co. or Citigroup Inc., which have begun repaying their debts.

“It is the mother of all bailouts,” said Edward Pinto, a former chief credit officer at Fannie Mae, who is now a consultant to the mortgage-finance industry.

Fannie, based in Washington, D.C., and Freddie in McLean, Va., own or guarantee 53 percent of the nation’s $10.7 trillion in residential mortgages, according to a June 10 Federal Reserve report.

Millions of bad loans issued during the housing bubble remain on their books, and delinquencies continue to rise.

How deep in the hole Fannie and Freddie go depends on unemployment, interest rates and other drivers of home prices, according to the companies and economists who study them.

The Congressional Budget Office calculated in August 2009 that the companies would need $389 billion in federal subsidies through 2019, based on assumptions about delinquency rates of loans in their securities pools.

The White House’s Office of Management and Budget estimated in February that aid could total as little as $160 billion if the economy strengthens.

Sean Egan, president of Egan-Jones Ratings Co. in Haverford, Pa., said that a 20 percent loss on the companies’ loans and guarantees, along the lines of other large market players such as Countrywide Financial Corp., now owned by Bank of America Corp., could cause even more damage.

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