The supply of dwellings is less than the demand.
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Yes, which is why prices are rising. I'm not sure what your getting at, I think we're going around in circles.
"Housing has complications, not the least of which are interest rates, the money supply and the long term effects of the deficit."
That may be, but it's not relevant to your argument that immigrants are unfairly increasing the price of housing. Unless you can prove that immigration has an effect on 'interest rates, the money supply, and the long term effect of the deficit.' Infact, I'd say they probably do have an impact on these things, but in a beneficial way (whatever that is).
I beg to differ. In the real world, not that of the economic theoretical, immigration is increasing the price, cost and shortage of entry level rental dwellings. At the same time, urban planners have become reluctant to issue permits to build apartments because the cities do not want the density that comes with immigrant housing. As the price to rent an apartment goes up - and it does with illegal immigration - so does the cost to buy a single family dwelling or condo.