(Adds background, details from interview)
Aug 16 (Reuters) - The U.S. central bank is roughly at the mid-point on its current path to normalize interest rates as the economy has shown further improvement even without fiscal stimulus, San Francisco Federal Reserve President John Williams told CNN television.
"We're about half way there," Williams said in an interview with the news network recorded on Tuesday and aired Wednesday, when asked how far along the Fed was on its rate-hike path.
The Fed has raised key overnight borrowing costs four times since December 2015, while unemployment touched a 16-year low in July at 4.3 percent and Wall Street recently posted all-time highs on upbeat company earnings.
However, domestic wage growth has remained sluggish and overall inflation has been stuck below the Fed's 2-percent goal, which Fed officials have cited as critical to supporting long-term economic growth.
Earlier Wednesday prior to the airing of Williams' interview, the Fed released minutes of its July 25-26 policy meeting where policy-makers appeared more wary about the downturn in inflation since the start of the year.
Williams, who is not a voting member on the Fed's policy-setting group in 2017, has supported further rate increases at a gradual pace.
Interest rates futures implied traders saw less than a 50 percent chance the Fed would raise rates by year-end .
Williams said federal tax reform and investment in roads, bridges and major building projects can play vital roles to support long-term economic growth.
Investors have hoped U.S. President Donald Trump and lawmakers can reach a deal to enact up to $1 trillion worth of infrastructure spending to promote jobs and capital spending.
"It might not be enough," Williams said, noting the size of the U.S. economy at about $20 trillion. "It's definitely in the right direction." (Reporting by Richard Leong and Dan Burns; Editing by James Dalgleish)