Leading private bank ICICI and Axis Bank also indicated that they would bring down the lending rates while public sector Andhra Bank was first off the block, cutting interest rate by 0.25 per cent.
While the RBI action will benefit borrowers, it will also lead to reduction in deposit and savings rate. The government also disclosed that it will review the interest rate on small savings, PPF and Post Office deposits, to bring them in line with market.
In its fourth bi-monthly monetary policy for the current fiscal, RBI cut benchmark repurchase (repo) rate from 7.25 per cent to 6.75 per cent, lowest in four-and-half-years.
Rajan justified the reduction saying consumer inflation was likely to be at 5.8 per cent, below the 6 per cent target for January.
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The focus should now shift to bringing inflation to around 5 per cent by March 2017, he said, adding that RBI will be vigilant for signs of monetary policy adjustments that are needed to stick to the "deflationary path".
Government and industry welcomed the RBI decision and nudged banks to transmit the benefit to borrowers to boost investments and economy.
"This decision of the RBI will significantly provide policy support to the real economy and help in the recovery process.
"We are looking forward now to the transmission of these cuts which will effectively help to boost confidence and investment. They will also help to realise the economy's medium term potential growth rate," Finance Minister Arun Jaitley told reporters here.