Loretta Mester at Jackson Hole, WyomingDavid A. Grogan | CNBCCleveland Federal Reserve President Loretta Mester said Wednesday she sees interest rates rising considerably higher before the central bank can ease off in its fight against inflation.Mester, a voting member this year of the rate-setting Federal Open Market Committee, said she sees benchmark rates rising above 4% in the coming months. That’s well above the current target range of 2.25%-2.5% for the federal funds rate, which sets what banks charge each other for overnight borrowing but is tied to many consumer debt instruments.”My current view is that it will be necessary to move the fed funds rate up to somewhat above 4 percent by early next year and hold it there,” she said in prepared remarks for a speech in Dayton. “I do not anticipate the Fed cutting the fed funds rate target next year.”In line with that, Mester said rates will remain elevated “for some time,” a phrase used in recent days by both Fed Chairman Jerome Powell and New York Fed President John Williams. She said real rates, or the difference between the fed funds rate and inflation, will need to “move into positive territory.”The Fed this year has raised rates four times for a total of 2.25 percentage points. Markets are pricing in a third consecutive 0.75 percentage point increase at the September meeting and looking for rate cuts to start in the fall of 2023.Mester said she anticipates the rate increases to slow economic growth, which she sees as running “well below 2%” while the unemployment rate rises and financial markets remain volatile. She expects inflation to fall to a range of 5%-6% this year and then get closer to the Fed’s target in subsequent years.In one concession to those looking for lower rates, she said she does not think the Fed necessarily will have to keep raising rates until inflation hits the central bank’s 2% goal. But she said policymakers must remain vigilant.”It would be a mistake to declare victory over the inflation beast too soon. Doing so would put us back in the stop-and-go monetary policy world of the 1970s, which was very costly to households and businesses,” she said.