Forex dealers said a firm rise in local equities and sluggish dollar overseas also boosted the sentiment in rupee's favour.
The local unit opened lower at 55.07 against the dollar at the Interbank Foreign Exchange (Forex) market from Monday's close of 54.95 and fell further to a low of 55.10 on month-end dollar demand from importers, mainly oil refiners.
However, firm local stocks amid late dollar selling by exporters helped the rupee to bounce back to a high of 54.81 before concluding at 54.84, a net rise of 11 paise, or 0.20%, from its previous closing.
Foreign institutional investors on Wednesday pumped in over $135 million (R744 crore) into domestic equities, as per provisional BSE data. "The rupee extended its gaining momentum for the second straight session amid thinly traded volumes tracking huge gains in domestic equity markets and rising capital inflows," said Pramit Brahmbhatt, CEO, Alpari Financial Services (India).
The commerce ministry also approved a package of incentives to boost exports, which supported the rupee, he said.
Faced with a widening trade deficit, the government on Wednesday announced a slew of incentives to reverse decline in exports which will still fall much short of the $360 billion target for the current fiscal.