How it works
The monthly principal & interest payment uses the standard amortizing-loan formula:
M = P × [ r(1 + r)n ] / [ (1 + r)n − 1 ]
- M = monthly principal & interest payment
- P = loan amount (home price − down payment)
- r = monthly interest rate (annual rate ÷ 12)
- n = number of payments (years × 12)
Monthly property tax, homeowners insurance and HOA are added on top of M to get your total monthly housing payment.
Worked example
On a $400,000 home with 20% down ($80,000), a 30-year loan at 6.5%:
- Loan amount P = $320,000
- Monthly rate r = 0.065 / 12 = 0.005417
- Payments n = 360
- Principal & interest M ≈ $2,022/mo
- Total interest over 30 years ≈ $408,142
How we check this calculator
We recompute the standard amortization formula against the CFPB's published mortgage-payment methodology and spot-check monthly payments with independent worked examples (e.g. a $320,000 loan at 6.5% over 30 years must give $2,022.62 in principal & interest). Property-tax and insurance defaults on the state pages are re-checked against Tax Foundation, U.S. Census and Insurance.com figures each time the data files are refreshed, and edge cases — 0% down, 15- vs 30-year terms, tax-only changes — are re-run after every code change to the widget.