"If the monsoon performs as it has been currently performing and we are able to keep inflation down, then there is headroom for cuts," Bhattacharya told reporters at the golden jubilee celebration of All India State Bank Officers' Federation here.
She said SBI has already cut the base rate and further reduction will depend on "several other things".
SBI has already slashed its base rate by a cumulative 0.30 per cent in two moves over the last quarter as an answer to RBI's repo cuts of 0.75 per cent.
In numbers released yesterday, inflation inched up to 5.01 per cent for May.
On waiving processing fees if a customer shifts his home loan to SBI, Bhattacharya said the bank is trying to increase its market share through the offer.
"We are expecting a good response for this offer," Bhattacharya said.
When asked about whether there was some discussion over recapitalisation in yesterday's meeting between PSU bank chiefs and Finance Minister Arun Jaitley, she said the minister has assured of more capital.
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