The agency’s plan, posted on its Web site Friday, would guarantee 2.2 million modified loans — mainly risky loans made to borrowers with weak credit or small down payments — through the end of next year. Borrowers would get reduced interest rates or longer loan terms to make their payments more affordable.

“If we can avoid those foreclosures, then you will get more stability in the housing market,” said Michael Krimminger, a senior adviser to FDIC Chairman Sheila Bair, in an interview Thursday.

The FDIC says the government’s backing will make the lending industry more willing to modify loans because taxpayers will absorb half of the losses if the borrower defaults again. Also, loan servicing companies, which collect and distribute mortgage payments, would be paid $1,000 for each loan they modify.

Even if a third of borrowers default again on their modified loans, 1.5 million homes would still be saved, the FDIC says. Under the agency’s plan, monthly payments shouldn’t total more than 31 percent of homeowners’ pretax monthly income.

The FDIC says its plans should apply to an estimated 4.4 million loans that are likely to become delinquent though the end of next year. That estimate excludes loans held by mortgage finance companies Fannie Mae and Freddie Mac, which on Tuesday launched their own loan modification program modeled after the FDIC’s effort at failed IndyMac Bank.

Plan Based on FDIC Loan Mod Program in Pasadena California

After taking over failed IndyMac Bank of Pasadena, Calif over the summer, the FDIC launched a loan modification plan in which borrowers receive interest rates of about 3 percent for five years. That plan was used as a model for a loan modification plan announced Tuesday by mortgage finance companies Fannie Mae and Freddie Mac.