The rupee ended marginally higher by two paise at 62.24 against the dollar on Wednesday.
Forex market was shut on Tuesday on account of 'Mahavir Jayanti'.
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The RBI stipulated on Thursday that foreign institutional investors would require a mandate from participatory note holders to hedge on their behalf.
The rupee had gained by 50 paise or 0.75 per cent in two weeks.
The rupee resumed lower at 63.65 per dollar as against previous closing of 63.58 at the Interbank Foreign Exchange (Forex) market.
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However, FII outflows of Rs 545 crore (Rs 5.45 billion) capped the gains in the rupee, which had slumped by 126 paise in past two days.
The Rupee is seen strengthening against the dollar.
Falling for the first time in three days, the rupee today erased initial gains to end 15 paise lower at 62.43 against dollar on fag-end demand of the US currency from banks and importers, amid a tepid stock market.
The dollar strengthened against major world currencies.
Falling for the second day, the rupee on Friday weakened by 12 paise against dollar to end at 62.68 weighed down by demand for the American currency from importers and data showing fiscal deficit crossed 95 per cent of the annual target during April-December.
The local currency had lost 119 paise in the past five sessions on rising worries over current account gap and fears that withdrawal of US stimulus will hit inflows from overseas.
The domestic unit had recovered to 68.65 in early trade on Friday as against Thursday's closing of 68.72.
The rupee depreciated further by 7 paise to 65.12.
There's sustained demand for the American currency from importers and banks
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The RBI fixed the reference rate for the dollar at 65.2525 and for the euro at 72.1954.
In line with rally in stocks, the Indian rupee on Monday appreciated for the second straight session and closed with a eight paise gain at a one-week high of 61.36 against the Greenback.
The basis of Ind-Ra's expectation of INR appreciation is based on economic developments in the last one to two months of this fiscal and the likely developments in the remaining months.
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The dollar gained against other currencies overseas.
Amid sustained weakness across categories, the Indian stock market remained below the trillion-dollar mark for the third consecutive day today, as the total valuation of all listed companies slipped further to $944 billion.
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Overseas funds have also become strong buyers of debt, with net purchases of $5.6 billion so far this year.
The rupee had last ended at 67.22 per dollar on March 16, 2016.
After another day of volatile trade, the rupee today appreciated by seven paise to close at a new one-month high of 59.04 against the dollar as the RBI's liquidity-tightening measures continued to lend support.
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Snapping a two-day fall, the rupee opened strong at 59.49 a dollar from the previous close of 59.76 at the Interbank Foreign Exchange Market and then touched a low of 59.59.
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The rupee on Monday slipped by 5 paise to close at 63.57 per dollar on fresh demand for the American currency from banks.
A weak rupee makes imports costlier, including oil and other commodities.
Reacting to market specific developments, the domestic unit touched a low of 66.74 in intra-day trade before concluding at 66.65.
The rupee on Wednesday snapped its two days of losses and edged up two paise to end at 59.27 against the dollar following late selling of the US currency by exporters.