In late afternoon trading in New York, the Dow Jones Industrial Average rose 0.73 per cent, while the Standard & Poor's 500 Index added 0.41 per cent and the Nasdaq Composite Index advanced 0.75 per cent.
US Treasuries, meanwhile, lost further appeal. Yields on the benchmark 10-year bond increased 12 basis points to 2.13 per cent and an auction of two-year government debt lacked lustre.
"We continue to see a large risk appetite," Martin Schlatter, a fund manager at Swiss Rock Asset Management in Zurich, told Bloomberg News. "Many investors have been missing the rally in equity markets and are waiting for an entry. Last week's slump didn't create a fundamentally new situation. Stocks are still significantly more attractive than bonds."
Europe's benchmark Stoxx 600 Index closed with gains of 1.3 per cent for the day. Elsewhere, Germany's DAX rose 1.2 per cent, while France's CAC 40 added 1.4 per cent and the UK's FTSE 100 climbed 1.6 per cent.
Helping underpin equity markets were central bank reassurances-in Japan and Europe-that the world's top banking authorities are sticking around to lend a helping hand to reviving growth.
"Even when there is upward pressure on long-term interest rates due to expectations for economic recovery, monetary policy will continue to put downward pressure on interest rates and therefore strongly support economic recovery," Bank of Japan board member Ryuzo Miyao said at a news conference in Tokyo on Tuesday, according to Reuters.