Mortgage Calculator
Estimate your monthly mortgage payment, total interest, and full PITI breakdown for fixed-rate and ARM loans.
$350,000 − $0
Optional: property tax, PMI, HOA & insurance
Monthly payment
$2,212.24
Principal & interest
Total interest paid
$446,406
Total cost
$796,406
Principal vs. interest over time
Monthly payment breakdown
Show the math
Lenders use a standard amortizing-loan formula so every payment is the same size, even though the mix of principal and interest inside each payment changes over time.
M = P × [r(1 + r)n] / [(1 + r)n − 1]
With your numbers, P (loan amount) = $350,000 ($350,000 home price − $0 down), r (monthly rate) = 0.5417% (that's 6.5% ÷ 12), and n (number of payments) = 360.
M = $350,000 × [0.005417 × (1 + 0.005417)360] / [(1 + 0.005417)360 − 1] = $2,212.24
In plain English: your balance grows by a factor of about 6.9918× over the life of the loan if no payments were made. The formula backs out the fixed payment size that exactly cancels that growth over 360 months, so the loan balance hits zero on the final payment.