Global shares traded close to one-month highs on Tuesday, boosted by revived optimism the Federal Reserve cuts U.S. interest rates once if not twice this year, while a weaker yen offset by a stronger euro kept the dollar steady.

Stocks ended on a high note Monday boosted by hopes that the Federal Reserve would cut interest rates. The Dow Jones Industrial Average finished up 176 points, or 0.46%, to 38,852.27, while the S&P 500 gained 1.