← Back to the calculator
Mortgage Payment Estimator: how it works
Estimates a full monthly housing payment: loan principal and interest via standard amortization, plus property tax, homeowners insurance, PMI when the down payment is under 20%, and HOA dues.
Step by step
- Principal & interest uses the standard amortization formula for your loan amount, rate, and term.
- Property tax applies your yearly rate to the home price, divided monthly.
- PMI applies an annual rate to the loan amount while the down payment is below 20%.
- One-time closing costs (title, lender, and government fees) are itemized from local title-company fee data where available, state-typical defaults otherwise; they are shown alongside the payment but are not part of it.
The math
Monthly P&I = L·r/(1−(1+r)^−n) with monthly rate r and n payments (public-domain amortization).
Sources
- Standard amortization mathematics (public domain).
- Illustrative rates from the Freddie Mac Primary Mortgage Market Survey, dated on-screen.