NO
On $50,000/yr, the typical $267,167 home in Detroit, MI needs $82,049/yr ($1,914/mo). Your gap: $-32,049 — housing would be 45.9% of your gross income.
The math
267,167 price − 10% down (26,717) = 240,450 loan
30-yr fixed at 6.95% on 240,450 = 1,592/mo principal+interest
+ 323/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
1,914/mo PITI ÷ 0.28 = 6,837/mo → 82,049/yr required
against Zillow ZHVI 2026-08 and the 6.95% FRED 30-yr rate (2026-09-17).
What salary WOULD clear Detroit, MI?
You need about $82,049/yr for the typical home. That's $32,049 more than $50,000.