The Federal Reserve has made a $14bn profit on loan programmes that provided hundreds of billions of dollars in liquidity to the financial system since the start of the crisis two years ago, according to Fed officials.

The internal estimate is based on the difference between the fees and interest on the lending facilities and the interest the Fed would have earned had it invested the funds in three-month Treasury bills.

The central bank earned about $19bn in income from charging interest and fees to financial institutions and investors that tapped the new facilities to obtain much-needed funds during the turmoil. The interest the Fed would have earned by investing the same amount in T-bills was an estimated $5bn, leaving a $14bn gain since August 2007.