A modest recovery in local equities, however, capped the rupee fall to some extent while dollar index was almost stable in overseas market in thin trade.
At the Interbank Foreign Exchange (Forex) market, the domestic currency resumed better at the day's high of 63.45 a dollar from its previous close of 63.51.
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In a lacklustre trade today, the benchmark S&P BSE Sensex today edged up by 33.17 points, or 0.12 per cent, breaking two-day declining trend. FPIs sold shares worth Rs 2,808.27 crore on December 24, as per provisional data.
Pramit Brahmbhatt, Veracity Group CEO, said, "...Indian Rupee traded weak and depreciated by six paise, taking cues from FIIs profit booking and dollar demand from oil companies. The trading range for the spot rupee is expected to be within 63.20 to 64.00."
In the forward market, premia continued to trade weak on sustained receipts by exporters.
The benchmark six-month premium payable in May declined to 189.5-191.5 paise from 192.75-194.5 paise previously.
Forward contracts maturing in November 2015 dropped to 394.5-396.5 paise from 399.5-401.5 paise.
The Reserve Bank of India fixed the reference rate for dollar at 63.6355 and for euro at 77.7435.
The rupee moved down further to 98.93 against the pound from 98.72 and softened further to 77.48 per euro from 77.44.
It, too slipped to 52.85 per 100 Japanese yen from last close of 52.73.
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