The retail inflation as measured by Consumer Price Index stood at a 3-month low of 5.17 per cent in March and at 5.37 per cent in February this year.
The RBI has targeted CPI-based inflation to be at six per cent by January next year.
According to the research report, after the June rate cut, the RBI is likely to hold on to the "pause" button for sometime and go for a further 50 basis points cut in early 2016.
The global brokerage firm said that the 'pre-conditions' set by the RBI for a rate-cut are largely met; moreover, food prices are yet to react to unseasonal rains.
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"Daily food price data shows that food prices are yet to react to unseasonal rains," BofA-ML said adding that "while there could still be some upside risks to food inflation, they are unlikely to sustain as the new harvest should come in the next few weeks".
According to BofA-ML, the chance of a hike in interest rates by the Fed in June is very low and the Fed is expected to hike rates in September.
"Our US economists remain comfortable with our long held call for a September liftoff after last night's FOMC meeting. They think that the chance of a June hike is very low," the report said.
The central bank has lowered its policy rate twice so far in 2015, but maintained a status quo in its last monetary policy review on April 7 on fears of unseasonal rains impacting food prices.