The S&P 500 index (.SPX) rose 0.2%, the Dow Jones Industrial Average (.DJI) added 0.12%, and the Nasdaq Composite Index (.IXIC) climbed 0.28%.
The pan-European STOXX 600 index (.STOXX) rose 0.37%, while MSCI's broadest index of Asia-Pacific shares outside Japan (.MIAPJ0000PUS) was little changed.
With major share markets all in the black, investors might think that stocks are set to rise further.
Government bond yields - a proxy for borrowing rates - eased earlier after a European Central Bank (ECB) survey showed euro zone consumers had lowered their inflation expectations.
Australia's central bank hiked rates by a quarter-point to 4.1% - an 11-year high - and warned that further increases might be required to ensure inflation is brought back under control.
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