This is certainly untrue. Possibly housing has never been this particular problem in this particular place. Housing affordability plagued Germany of the early 20th century. Low quality housing of the type not possible to obtain in the US was widespread in US cities before the last 50-70 years.
>Population is the problem.
Misanthropic nonsense. Show us your 'math', if you're so sure of yourself. And better yet, state your underlying assumptions for all to see.
>This is because the 'rich' people countries are having a population explosion despite the native 'rich' people havong a negative birth rate.
Can you list these rich countries with 'population explosion[s]'? Population growth rate in the US is at its lowest since 1960 (start of the readily available data.) Considering the shift of the population toward the elderly in the rich welfare states like the US, we actually have a reckoning coming from too few working age people.