Rajan was addressing a conference at the Stockholm School of Economics.
Read more from our special coverage on "GREECE CRISIS"
Concerns on the Street continues as Greece's euro zone bailout expires on Tuesday, when it is also due to repay ^1.6 billion to the International Monetary Fund. Greek Prime Minister Alexis Tsipras said some creditors haven't accepted the country's proposals for a deal. "The insistence of certain institutions of not accepting parametric measures has never happened before - not in Ireland, nor in Portugal," Tsipras wrote in a Twitter post.
Logging its first fall in nine days, the benchmark BSE Sensex on Wednesday slipped by 75 points to 27,729.67 as market sentiment took a hit in the last half hour on news that creditors had rejected Greece's new proposal.
The rupee ended marginally stronger against the dollar at 63.60, compared with Tuesday's close of 63.61.
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