While IDBI Bank lowered lending rate by 0.25%, it cut the fixed deposit rate by as much as 0.5%.
The new rates will be effective from April 20, IDBI Bank said in a statement.
IDBI Bank's loans linked to base rate will become cheaper following a 25 basis points reduction in rate to 10.50%.
The bank has taken this pro-active step, keeping in view the recent policy measures announced by RBI and the emerging market conditions expected to arise out of the transmission of these monetary measures, it said.
The bank has also decided to reduce the retail term deposit rates by 0.1-0.5% in various buckets having maturity of six months and above.
Yesterday, RBI reduced the short-term lending (repo) rate by 0.5% to 8%.
In the Annual Monetary Policy, 2012-13, RBI doubled borrowings under the Marginal Standing Facility for banks to 2% of their deposits with immediate effect to ease liquidity. It also permitted banks to borrow under the MSF even if they have excess government securities holding.