The Fed said in a statement issued Wednesday that it will direct the money into long-term Treasurys to replace an expiring bond-purchase program. The new purchases will expand its investment portfolio, which has reached nearly $3 trillion.

The central bank will continue buying $40 billion a month in mortgage bonds. All told, its monthly bond purchases will remain $85 billion. They are intended to reduce already record-low long-term rates to encourage borrowing and accelerate growth.

The Fed kept its target for its benchmark short-term interest rate at a record low near zero, where it has been for the last four years. The Fed said Wednesday that it would link any future rate change to lower unemployment, as long as inflation is expected to stay below 2.5 percent.

Before Wednesday, the Fed had said it planned would keep the rate low until at least mid-2015.

The Fed said it can pursue the aggressive stimulus programs because inflation remains below its target.

The statement was issued after the Fed’s two-day policy meeting and approved on an 11-1 vote. Jeffrey Lacker, president of Federal Reserve Bank of Richmond, objected for the eighth time this year.

The Fed’s final meeting of the year is being held against the backdrop of the looming “fiscal cliff,” the sharp tax increases and spending cuts that will hit the economy in January if Congress and President Barack Obama are unable to reach an agreement this month to avert them.

Bernanke has said that the Fed’s efforts will not be able to rescue the economy if the budget negotiations fail and the country does go over the fiscal cliff.

Fears of the cliff have led some U.S. companies to delay expanding, investing and hiring. Manufacturing has slumped. Consumers have cut back on spending. Unemployment remains elevated. If higher taxes and government spending cuts were to last for much of 2013, most experts say the economy would sink into another recession.

The latest bond-buying program would replace an expiring program called Operation Twist. With Twist, the Fed sold $45 billion a month in short-term Treasurys and used the proceeds to buy the same amount in longer-term Treasurys.

Twist didn’t expand the Fed’s investment portfolio, it just reshuffled the holdings. But the Fed has run out of short-term securities to sell. So to maintain its pace of long-term Treasury purchases and to keep long-term rates low, it must spend more and increase its portfolio.

The Fed’s portfolio totals nearly $2.9 trillion — more than three times its size before the 2008 financial crisis.

The Fed has launched three rounds of bond purchases since the financial crisis hit. In announcing a third program in September, the Fed said it would keep buying mortgage bonds until the job market improved substantially.

Skeptics note that rates on mortgages and many other loans are already at or near all-time lows. So any further declines in rates engineered by the Fed might offer little economic benefit.

Inside and outside the Fed, a debate has raged over whether the Fed’s actions have helped support the economy over the past four years, whether they will ignite inflation later and whether they should be extended.