In a statement, Rajan said it looks increasingly clear that the United Kingdom has voted to exit the European Union.
"The RBI is watching all the markets... We are ready to act when there is disorderly conduct, disorderly behaviour (in the markets)," he said.
Markets, he said, are trying to factor the consequences of Brexit, which has already led to sharp corrections in financial markets around the world.
The Indian economy has good fundamentals, low short-term external debt and sizeable foreign reserves, he said, adding these should stand the country in "good stead in the days to come."
"Reserve Bank is continuously maintaining a close vigil on market developments, both domestically and internationally, and will take all necessary steps, including liquidity support (both dollar and rupee), to ensure orderly conditions in financial markets," he added.
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