With the reduction in the base rate, all loans, including home, auto and corporate, would become cheaper by at least 0.40 per cent.
The bank has decided to reduce the base rate by 0.40 per cent to 9.3 per cent with effect from October 5, SBI said in a statement.
"RBI has cut interest rate by 0.50 per cent, we have reduced it by 0.40 per cent," SBI Chairperson Arundhati Bhattacharya said.
"We will definitely keep looking at ways and means of bringing down rate further. Going ahead, weakening of rate will add to growth of credit," Bhattacharya said.
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With the reduction, SBI's base rate is the lowest in the market. The reduction by the largest lender is likely to be followed by others.
Meanwhile, Andhra Bank also reduced its base rate by 0.25 per cent to 9.75 per cent effective today.
Base rate is the minimum rate below which a bank can't lend to consumers.
RBI cut benchmark repurchase (repo) rate from 7.25 per cent to 6.75 per cent, lowest in four-and-half-years.
The reverse repo rate, at which it accepts banks' excess liquidity, will be 5.75 per cent, while the cash reserve ratio has been kept unchanged at 4 per cent.
Soon after the RBI policy announcement, Finance Minister Arun Jaitley expressed hope that banks will transmit the benefit to borrowers so as to boost investments and the economy.