ASB Bank has dropped it's two-year fixed rate by 0.2 percent.
Financial markets have already priced in an Official Cash Rate of around 3 percent by mid-2023, ASB confirms.
ANZ is offering the lowest new build floating rate in the market.
ASB Bank is offering a floating home loan rate of 1.79 percent for new-builds for up to three years.
"Our basic view is upward pressure on rates over the next two or three years."
Economists now expect the Official Cash Rate to fall below zero by mid-2021.