Investors have been trying to gauge when the US central bank will start winding down its market-friendly $85 billion monthly bond purchases, with some expecting the Fed to announce a tapering in March.
Stronger economic data of late, including Monday's numbers showing US manufacturing output rose for a fourth straight month in November and last month's payroll report, led some to believe the tapering could come as soon as the Fed's meeting this week.
The Fed has said it will slow the program when certain economic indicators meet its growth targets.
Global manufacturing and business activity expanded in December, as euro zone businesses ended the year on a high thanks to a surge in new orders, though the rate of manufacturing growth slowed in China.
"There are signs of growth here in US is being emulated elsewhere, the recovery is in relatively good footing worldwide and the Fed's decision to eventually start to taper is positive in the long run," said Peter Jankovskis, co-chief investment officer at OakBrook Investments in Lisle, Illinois.
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"The market is waiting to see what the Fed is going to decide to do," he said. "Bottom line, the economy continues to show signs of strength and eventually the market will react positively to that."
The Dow Jones industrial average rose 129.21 points or 0.82%, to 15,884.57, the S&P 500 gained 11.22 points or 0.63%, to 1,786.54 and the Nasdaq Composite added 28.542 points or 0.71%, to 4,029.518.
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Advancers beat decliners on the NYSE by a ratio of 2 to 1. On the Nasdaq, about 15 issues rose for every seven that fell.
About 6 billion shares changed hands on US exchanges, slightly below the 6.1 billion average so far this month, according to data from BATS Global Markets.

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