Good inflows also helped the rupee even as the widely tracked dollar index was up 0.10% against six major global rivals, forex dealers said.
At the Interbank Foreign Exchange (Forex) market, the domestic unit commenced strong at 60.29 a dollar from last Friday's close of 60.39.
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The Indian benchmark S&P BSE Sensex today shot up by 293.15 points, or 1.08%, to log new closing peak of 27,319.85.
FPIs/FIIs infused $54.16 million last Friday, taking the total to $710.33 million in the current month so far, as per Sebi data.
In forwards market today, premium continued to close narrowly mixed in recent few days.
The benchmark six-month premium payable in February edged down to 242-244 paise from 242.5-244.5 paise previously while far-forward contracts maturing in August, 2015 rose further to 498-500 paise from 495.5-497.5 paise.
The Reserve Bank of India fixed the reference rate for dollar at 60.2628 and for the euro at 77.9439.
The rupee bounced back with vengeance against the pound to 97.25 from last weekend's close of 98.48 and also recovered to 78.08 per euro crom 78.26.
It, however, remained firm to 57.29 per 100 Japanese yen from 57.41 previously.
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