How Mortgage Calculations Work

Calculators Team · Jan 15, 2026
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Buying a home is one of the biggest financial decisions you'll make, yet many buyers don't fully understand how their monthly mortgage payment is actually calculated. This guide breaks down the formula and shows why the numbers matter.

The monthly payment formula

Nearly all fixed-rate mortgages use the same standard formula, which spreads the loan (principal plus interest) evenly across every payment:

M = P × [ r(1 + r)^n ] / [ (1 + r)^n − 1 ]
  • M — the monthly payment
  • P — the loan principal (purchase price minus your down payment)
  • r — the monthly interest rate (annual rate divided by 12)
  • n — the total number of payments (years × 12)

Principal vs interest

Early in your mortgage, a large share of each payment goes toward interest, not the balance you owe. Over time the split flips, and more of your money pays down principal. This is called amortization.

Using our Mortgage Calculator, you can see exactly how much goes to interest over the full life of the loan — and how much you'd save with a larger down payment or a shorter term.

Why the interest rate matters so much

A small percentage change in your rate translates into tens of thousands of dollars over a 30-year loan. For example, at 6% versus 6.5% on a $300,000 loan, the difference in total interest can exceed $20,000.

Tips for buyers

  • Compare at least three lenders and look beyond the headline rate.
  • Consider whether a 15-year term, despite higher payments, fits your budget and saves interest.
  • Use the calculator to model different down payments before you shop.

Always confirm your figures with a mortgage professional, but understanding these basics puts you in control of the conversation.

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