Banks and exporters preferred to reduce their dollar position on hopes of resumption of foreign capital inflows.
The domestic unit resumed higher at 68.10 per dollar as against the yesterday's closing level of 68.23 at the Interbank Foreign Exchange market and moved up further to 68.1250 before ending at 67.78 per dollar, showing a gain 45 paise or 0.66 per cent.
The rupee had dropped by 60 paise or 0.89 per cent in previous three trading days.
The yen weakened sharply against the dollar and its major rivals in choppy Asia trade today, after the Bank of Japan surprised markets by unexpectedly introducing a negative interest rate policy.
However, US dollar weakened versus the euro yesterday after a disappointing reading on durable-goods orders in December, combined with a dovish outlook from the Federal Reserve on Wednesday.
Oil extended a recent rally in Asia, boosted by weakness in the dollar and Russia saying it could meet the OPEC producers' group for talks on possible output cuts to ease a painful supply glut.
"The rupee opened on a stronger note and continued to trade strong throughout the day. The rupee taking cue from equity market traded stronger. Our benchmark index NIFTY closed with a handsome gain of 139 points. Thus the rupee closed with a gain of 43 paise at 67.78 levels."
Trading range for spot USD/INR pair is expected to be within 67.5 to 68 range.
In forward market, premium for dollar declined further on sustained receivings from exporters.
The benchmark six-month premium payable in June moved down to 172-174 paise from 174-176 paise yesterday and far forward December 2016 contract also moved down to 378-380 paise from 381-383 paise.
In cross-currency trades, the rupee recovered against the pound sterling to end at 96.97 from 97.53 yesterday and the euro also recouped to 73.99 from 74.43.
The domestic unit moved up further against the yen to 56.07 from 57.39 per 100 yen.
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