On the contrary - no mortgages would mean I couldn't afford a house, and someone richer than me would buy it and loan^H^H^H rent it to me. They'd get richer, and do the same to the next person who couldn't quite afford to buy a house. You've described a society closer to feudalism than efficient housing.

And you would have a house to live in, while your own investments are diversified. How did homeownership work in Detroit?