House price is inversely correlated to interest rates BECAUSE most buyers are getting a mortgage. So the price of the house "will drop" (hard and fast estimate here not a law) if interest rates rise because people are paying for house+interest = total_cost_able_to_pay.
I watched this play out in real time as I purchased my home. Rates dropped, prices went up to fill the gap. Owner got a bit more money vs the bank instead.
Basically I gave my money to a different person, but the "all in" was about the same.
1) Right now we are at zero short term rates, and moreover mortgage rates are propped due to Fed purchases of Agency MBS
2) Say rates go up 2% (not crazy) in parallel. So now your 3.5% becomes 5.5% which is still historically moderate. However, the 5441 required monthly income from your formula is now 6877! 26% increase.
3) What then? Prices go down?