How this calculator works
Unlike some markets, a US monthly housing payment is conventionally PITI: Principal, Interest, Taxes, and Insurance, plus PMI (Private Mortgage Insurance) if applicable and HOAdues if your property has them. The principal & interest portion uses the standard amortizing-loan formula:
M = P × r × (1+r)n ÷ ((1+r)n − 1)
where P is your loan amount (home price minus down payment), r is your monthly interest rate (annual rate ÷ 12), and n is your total number of monthly payments (term in years × 12). Property tax and insurance are typically collected monthly into an escrow account and paid on your behalf annually, which is why lenders quote them as part of your "monthly payment" even though they aren't part of the loan itself.
Worked example
Take a $400,000 home with a 10% down payment ($40,000), a 6.5%30-year fixed rate, average property tax for your state, and typical homeowners insurance. Your loan amount is $360,000, giving a 90% loan-to-value β above the 80% threshold, so PMI applies automatically. Try adjusting the down payment to 20% ($80,000) in the calculator and watch the PMI line disappear entirely, since your LTV drops to exactly 80%.
What affects your monthly payment
- Down payment β crossing the 20% threshold removes PMI entirely and lowers your loan amount, both cutting your payment.
- Interest rate β the biggest driver of your principal & interest payment over a 30-year term.
- Location β property tax rates vary enormously by state and county; two identical homes can have very different PITI payments purely based on location.
- Loan term β 15-year loans have higher payments but dramatically lower total interest than 30-year loans.
A note on accuracy
This calculator computes on full, unrounded figures and only rounds to the cent for display, so the amortization schedule doesn't drift. PMI removal timing is estimated from your amortization schedule reaching 78% of your ORIGINAL home value, per the Homeowners Protection Act of 1998. For official consumer guidance, see theConsumer Financial Protection Bureau.