Federal Reserve Chairman Ben Bernanke should resign and the Fed should be abolished as a way to boost the falling dollar and speed up the recovery of the U.S. economy, investor Jim Rogers, CEO of Rogers Holdings, told CNBC Europe Wednesday.

The Federal Reserve headquarters in Washington, DC.

Asked what he would do if he were in Bernanke's shoes, Rogers, who slammed the Fed for pouring liquidity in the system and accepting mortgage-backed securities as guarantees, said: "I would abolish the Federal Reserve and I would resign."