The letter was signed by House Speaker John BoehnerJohn BoehnerRyan delays committee assignments until 2017 Lobbying World 'Ready for Michelle' PACs urge 2020 run MORE (R-Ohio), House Majority Leader Eric CantorEric CantorChamber of Commerce overhauls lobbying operation Laura Ingraham under consideration for White House press secretary VA Dems jockey for Kaine's seat MORE (R-Va.), Senate Minority Leader Mitch McConnellMitch McConnellCould bipartisanship rise with Trump government? Senate names part of Cures bill after Beau Biden Biden raises possibility of 2020 presidential bid MORE (R-Ky.) and Senate Minority Whip Jon Kyl (R-Ariz.).

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"Respectfully, we submit that the board should resist further extraordinary intervention in the U.S. economy, particularly without a clear articulation of the goals of such a policy, direction for success, ample data proving a case for economic action and quantifiable benefits to the American people," they wrote. "It is not clear that the recent round of quantitative easing undertaken by the Federal Reserve has facilitated economic growth or reduced the unemployment rate."

The letter was sent just as many Republicans are calling for the Federal Reserve to be reined in, and as one early leader in the Republican presidential primary — Rep. Ron Paul (Texas) — has increased his criticism of the Fed.

It also comes just as the Federal Reserve Board of Governors plans to meet this week to consider what steps it should take to meet its dual mandate of low inflation and steady employment. Because interest rates are already essentially at zero, and the Fed has already said it would keep them there until at least 2013, many economists say there is little else the Fed can do to try to help stimulate borrowing, lending and growth.

Direct congressional pressure on the Fed to make certain decisions is rare, but again, it comes under increasing pressure from some, like Paul, to have Congress take back its authority and/or possibly set up a new mechanism for conducting monetary policy.