The BSE barometer has gone up by 745 points in the last five sessions and now stands at over two-week high levels.
In a two-day monetary policy meet concluded yesterday, the US Federal Reserve Chairwoman Janet Yellen left key interest rates unchanged near zero.
"...Although policy will be data-dependent, economic conditions are currently anticipated to evolve in a manner that will warrant only gradual increases in the target federal funds rate," Yellen said.
"Indices continue to stay cheerful with the Fed meet outcome of keeping interest rate unchanged. Strengthening of rupee to a three-month strong level cheered the sentiment," said Gaurav Jain, Director of Hem Securities.
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The 30-share BSE gauge opened on a strong footing and picked up momentum on sustained across-the-board buying to reclaim the 27,000-mark and touched high of 27,175.39.
The index finally settled 283.17 points higher or 1.06 per cent at 27,115.83.
The 50-share NSE Nifty index recaptured the 8,100-mark by rising 83.05 points or 1.03 per cent to close at 8,174.60.
Gains were also aided by oil&gas, consumer durable, healthcare, auto, capital goods and banking stocks.
Globally, Asian stocks closed mixed with downward bias on receding hopes of a deal between Greece and its creditors at a summit late in the global day today. European markets too showed feeble trend in mid-session deals.