The Federal Reserve is currently buying $75 billion a month in Treasuries and mortgage bonds in its third round of quantitative easing, or QE3, which is meant to ease longer-term borrowing costs in the economy.

Yet "we still don't have well-developed macro-models that incorporate a realistic financial sector,' William Dudley, president of the New York Fed, told an economics conference.

"We don't understand fully how large-scale asset purchase programs work to ease financial market conditions, there's still a lot of debate ..." he said. "Is it the effect of the purchases on the portfolios of private investors, or alternatively is the major channel one of signaling?"

(Reporting by Jonathan Spicer and Jason Lange; Editing by James Dalgleish)