The Fed announced a third round of bond purchases Thursday, saying it would keep interest rates low and make borrowing more available.
On Friday, the Bureau of Labor Statistics said U.S. consumer prices rose 1.7 percent on an annual basis in August with the Consumer Price Index 0.6 percent higher than July.
Although the seasonally adjusted increase for all consumer items was the largest monthly gain since June 2009, about 80 percent of the increase was on account of gasoline, which rose 9 percent, the bureau said.
At the close of trading on Wall Street, the Dow Jones industrial average gained 53.51 points or 0.4 percent to 13,593.37. The tech-heavy Nasdaq Composite index added 28.12 points or 0.89 percent to 3,183.95. The Standard and Poor's 500 added 5.78 points or 0.4 percent to 1,465.77.
On the New York Stock Exchange 2,096 issues advanced while 961 declined on total volume of 5.002 billion shares.
The benchmark 10-year treasury fell 1 10/32 to yield 1.871 percent.
The euro rose to $1.3129 from Thursday's $1.2988. The U.S. dollar rose to 78.41 yen from 77.49 yen.
In Tokyo, the Nikkei 255 index added 1.83 percent, 164.24 points, to 9,159.39.
In London, the FTSE 100 index gained 1.64 percent, 95.63, to 5,915.55.
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