How to Calculate Your Monthly Mortgage Payment
Before you start house hunting, you need a number: your monthly mortgage payment. Lenders will quote you rates, but understanding the math yourself means you can spot a bad deal instantly. Here's the exact formula, worked examples at today's rates, and a faster way to get your answer.
The Mortgage Payment Formula
The standard formula for calculating a fixed-rate mortgage payment is:
M = P × [r(1+r)n] / [(1+r)n – 1]
Where:
- M = monthly payment (principal + interest)
- P = loan principal (home price minus down payment)
- r = monthly interest rate (annual rate ÷ 12)
- n = total number of payments (years × 12)
This formula only calculates principal and interest. Your real monthly payment also includes property taxes, homeowners insurance, and possibly PMI or HOA fees — covered later.
Step-by-Step Example: $350,000 at 6.7%
Let's calculate a payment for a $350,000 loan at 6.7% APR on a 30-year term:
- Find r: 6.7% ÷ 12 = 0.5583% = 0.005583
- Find n: 30 × 12 = 360 payments
- Calculate (1+r)n: (1.005583)360 = 7.4535
- Plug it in: M = $350,000 × [0.005583 × 7.4535] / [7.4535 – 1] = $2,252
Your monthly principal and interest payment on a $350,000 loan at 6.7% is about $2,252.
How the Rate Changes Everything: Same Loan, Different Rates
Even a small rate difference dramatically shifts your payment. Here's the same $400,000 loan on a 30-year fixed mortgage at different rates:
The jump from 5.5% to 7.5% costs you an extra $526 per month and $189,444 more in total interest. That's why even a quarter-point rate improvement matters.
Same Rate, Different Home Prices
At 6.7% on a 30-year fixed, here's what different purchase prices look like with 20% down:
The Full Payment: PITI Explained
Lenders quote P&I (principal and interest), but your actual out-of-pocket cost is PITI:
- Principal — the loan amount you're paying back each month
- Interest — the cost of borrowing, front-loaded (you pay more interest early on)
- Taxes — property taxes, typically 0.5%–2.5% of home value per year, divided into monthly escrow payments
- Insurance — homeowners insurance ($100–$300/mo) plus PMI if your down payment is under 20%
On a $350,000 home in a state with 1.2% property tax, your total PITI might look like $2,252 (P&I) + $350 (taxes) + $150 (insurance) = $2,752/month. Use our mortgage calculator to see the full breakdown for your area.
15-Year vs 30-Year: The Trade-Off
A 15-year mortgage has a lower rate (typically 0.5%–0.75% less) but a higher payment. Which is better? It depends on your goals:
$350,000 loan at 6.7% (30-year): $2,252/mo — $462,721 total interest
$350,000 loan at 6.0% (15-year): $2,955/mo — $181,893 total interest
The 15-year option costs $703 more per month but saves you $280,828 in interest. That's the power of a shorter term combined with a lower rate. Our payoff calculator shows you exactly how extra payments shorten your loan.
Skip the Manual Math — Use a Calculator
The formula works, but nobody wants to crunch exponents on a phone calculator. Our mortgage calculator handles the math instantly and includes taxes, insurance, and PMI so you see your real monthly payment — not just principal and interest.
Calculate Your Mortgage Payment Now →