I've heard many rules of thumb for home affordability. A mortgage of two times income, home price of three times income, payments no more than 36% of gross income, payments no more than 25% of net income, and even home price no more than 1/2 net worth! Obviously there are many different opinions on this issue. And because factors such as cost of living, tax rates, insurance costs, HOA, mortgage insurance, maintenance costs, etc. can all impact affordability, these rules of thumb are often unclear.
I think total monthly payment vs. gross income is the most universal way to frame the issue. Framing it this way also allows renters to have a guide. With that said, what do you propose is the maximum monthly housing payment a Boglehead should consider at any given income level? I imagine the numbers will not be linear since discretionary income increases with gross income, but then things like progressive income tax rates also have to be taken into account. I'll provide an example of what I'm looking for, though I haven't given much thought to these particular numbers:
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Gross Income Maximum Monthly Housing Payment $10,000 $0 $30,000 $500 $50,000 $700 $75,000 $1,100 $100,000 $1,600 $150,000 $3,500 $200,000 $5,500 $300,000 $8,000 $500,000 $20,000