The bank assumed crude oil prices would remain low over much of 2015, which would result in a low inflation outlook for 2015.
"We now expect headline inflation will remain below the RBNZ's inflation target band of 1-3 per cent over much of 2015," the bank said.
The Reserve Bank, which is charged containing annual CPI inflation with a 1 to 3 per cent range, can "look through" the direct first-round effects of oil price changes.
ASB said that while reducing inflation, lower petrol prices also act like a tax cut increasing households' discretionary spending power.
Ultimately, what matters for the Reserve Bank will be any second-round effects on inflation of the changes in petrol prices, such as changes to the price and wage-setting behaviour of firms and households, ASB said.
"Nonetheless, the low inflation environment provides further reason for the Reserve Bank to hold off lifting the official cash rate for some time," it said.