Traders around the world welcomed the move, which came after a dayslong global sell-off triggered by fears of a slowdown in China.
"They're relieved by what China has done," said Chris Gaffney, president of EverBank World Markets, and are telling themselves: "Maybe it's time to get back in there."
Investors also got some encouraging news from a survey indicating that US consumer confidence rebounded this month. A separate report showed sales of new US homes bounced back in July.
The 10 sectors in the S&P 500 all moved higher, with technology leading the pack, up 3.6 per cent. Best Buy recorded the biggest gain in the index, climbing USD 4.13, or 14.1 per cent, to USD 33.42, after the home electronics chain reported better-than-expected results for the quarter.
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The Dow sank more than 588 points yesterday, while the S&P 500 index fell to more than 10 per cent off its recent peak, in what investors refer to as a "correction." The previous market correction was nearly four years ago.
China cut its interest rates for the fifth time in nine months in a renewed effort to shore up economic growth. The central bank also increased the amount of money available for lending by reducing the reserves banks are required to hold.
The move came as Beijing appeared to be abandoning a strategy of having a state-owned company buy shares to stem the market slide.
Analysts said that while today's actions by the central bank may calm the stock market turmoil for now, the country faces a long period of uncertainty.
European markets recovered almost all their losses from yesterday. Germany's DAX jumped 5 per cent, while France's CAC-40 rose 4.1 per cent. The FTSE 100 index of leading British shares gained 3.1 per cent.
China's central bank took action hours after the country's main stock index closed sharply lower for a fourth day. The Shanghai stock index slumped 7.6 per cent, on top of yesterday's 8.5 per cent loss.