The Indian unit, which had touched a firm position of 39.88 per dollar last week, touched an intraday high of 39.85, dealers said.
However, Rupee ended the last session of FY 08 on a negative note against the dollar due to heavy outflows from the Indian equity market. Reported buyings of dollars at lower value in the inter bank foreign exchange also pushed down the rupee against the greenback, a senior dealer with a leading private bank said.
Meanwhile, the six-month premium was quoted higher at 2.55 (2.20) per cent and annualised premium closed at 1.76 (1.55) per cent.
The Rupee closed lower at 62.85/87 against the Euro.
It ended firm at 79.39 per unit against the Pound Sterling and closed at 40.20 per hundred units against the Japanese Yen.