At the Interbank Foreign Exchange, the rupee was trading lower by 5 paise against the previous close of 66.15.
Dealers said increased demand for the American unit from importers and a lower opening in the domestic market weighed.
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The rupee had appreciated 24 paise to end at 66.15 against the greenback yesterday.
Marking the fifth consecutive year of depreciation, the rupee ended 2015 with a yearly loss of 312 paise, or 4.95%, against the US dollar on heavy funds outflows.
Meanwhile, the benchmark BSE Sensex fell 51.29 points, or 0.20%, to 26,066.25 in early trade.
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