To further ease A.I.G.’s debt burden, some of its other debt to the government would be converted into equity in two of the insurer’s subsidiaries in Asia  American International Assurance and the American Life Insurance Company.

Both units are performing well. This would give the government direct ownership in those subsidiaries and provide saleable assets to American taxpayers even if the A.I.G. holding company were to default on its loans.

The government stake in American International Assurance is likely to be controversial. The unit had been put up for sale recently, without success. That suggests that the government is giving A.I.G. better terms than private investors were willing to give, exposing the government to further accusations that it is providing a handout to A.I.G.

Also as part of the deal, the government would agree to lower the interest rate on all remaining A.I.G. debt to match the London Interbank Offered Rate, or Libor. That would replace the previous rate, which was three percentage points higher than Libor. That move would save A.I.G. $1 billion in interest payments.

The loss that A.I.G. is preparing to report on Monday would be the largest ever by any company in a single quarter. Still, of the $62 billion loss being reported, only about $2 billion is a cash loss. The rest is the result of noncash items like write-downs on the value of the company’s assets.

The new cash commitment reached on Sunday represented the fourth time since September that the federal government has taken steps to keep A.I.G. from collapsing. The previous rescues were intended to stabilize A.I.G. and buy it time to restructure. But the rescues were insufficient, in part because A.I.G. has either invested in or insured so many assets that keep losing value as the economy sours.

In September, the Federal Reserve lent A.I.G. $85 billion when the company suddenly found itself unable to meet a round of cash calls. To secure the emergency loan, A.I.G. issued the Fed warrants for slightly less than 80 percent of the company’s shares.