At the Interbank Foreign Exchange (Forex) market, the domestic unit commenced firm at 62.40 a dollar from previous close of 62.56 and moved in a range of 62.35 and 62.77.
Amid fears of outflows after the US Federal Reserve further cut its stimulus by USD 10 billion, the rupee concluded at 62.68, a fall of 12 paise or 0.20 per cent.
The government had fixed the fiscal deficit target-- the gap between expenditure and revenue -- at Rs 5,42,499 crore or 4.8 per cent of the GDP in Budget 2013-14.
Yesterday, rupee dipped by 15 paise or 0.24 per cent.
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The dollar index was up by 0.13 per cent against a basket of six major global rivals today.
Pramit Brahmbhatt, CEO, Alpari Financial Services (India) said, "The rupee continued to trade weak for the second consecutive day. It opened on a strong note but during the day lost all its gain taking cues from dollar index.
For the week, rupee depreciated by two paise. In January, it slid 88 paise against the dollar.
Meanwhile, forward dollar premiums declined on fresh payments by exporters.
The benchmark six-month forward dollar premium payable in July moved down to 252-254 paise from 253-255 paise previously. Far forward contracts maturing in January also dropped to 494-496 paise from 497-499 paise.
The RBI fixed the reference rate for the dollar at 62.4768 and for the euro at 84.6022.