The Reserve Bank Governor, this week, even suggested they might fall.
And is that because we have banned foreigners? No, it is not.
It is because this is what markets do, eventually reality and the market meet. People no longer borrow because debt levels rise, mechanisms get put in place like loan-to-value-ratios (LVRs) that flush investors out.
New governments arrive and suppress speculative expectation as business confidence falls. By banning foreign buyers today, not one young couple locked out of the housing market will suddenly be able to afford their new home.
And the really sad thing about the move, having exposed it as dishonest, is they went through the charade of asking people what they thought.
And people lined up, from Spark, to Queenstown as a region, to investors, the tourism sector, it was a cross-section of wider New Zealand business who see every day the benefits of having New Zealand open for business.
They put forward tangible cogent arguments - so much so that the Government, in fact, loosened their grip slightly on large-scale investment for projects, and there were one or two exceptions like Australia and Singapore.
But fundamentally this was driven all along by ideology, and the ideology is seriously flawed.
A small country at the bottom of the world needs foreign investment, and the Government's line was always about it meaning more New Zealanders could own a home.
Well the fact Katy Perry will now miss out on her multi-million dollar bolt hole doesn't get your young couple one step closer to their first house.
And nor was it ever going to.