How to Calculate Mortgage Payments (Free Calculator)

RunFreeTools TeamJun 3, 20265 min read

A mortgage is probably the biggest loan you will ever take, and a small change in the rate or term can move your payment by hundreds. Knowing how the payment is built puts you in control before you ever talk to a lender. This guide walks through the amortization formula, a real worked example, and how to read total interest versus total cost. To skip the arithmetic, use the free Mortgage Calculator — it estimates your monthly payment instantly and runs right in your browser.

How a mortgage payment is calculated

A fixed-rate mortgage uses the standard amortization formula. Each month you pay the same amount, split between interest and principal, until the balance reaches zero.

M = P x r x (1 + r)^n / ((1 + r)^n - 1)

Where:

  • M is the monthly payment
  • P is the loan principal (home price minus down payment)
  • r is the monthly interest rate (annual rate / 12)
  • n is the total number of payments (years x 12)

Early on, most of each payment goes to interest; over time, more goes to principal.

How to use the Mortgage Calculator

Here is the fastest way to get your numbers:

  1. Open the Mortgage Calculator.
  2. Enter the home price.
  3. Enter your down payment.
  4. Enter the annual interest rate.
  5. Choose the loan term (commonly 15 or 30 years).
  6. Read your estimated monthly payment, total interest and total cost.

The results update as you type, so you can compare a 15-year term against a 30-year one in seconds.

A worked example

Suppose you buy a 300,000 home, put 20% down (60,000), and borrow 240,000 at 6% for 30 years.

  • P = 240,000
  • r = 0.06 / 12 = 0.005
  • n = 30 x 12 = 360

Plugging into the formula gives a monthly payment of about 1,439. Over 360 payments you pay roughly 518,200 in total, of which about 278,200 is interest — more than the original loan. Shorten the term to 15 years and the monthly payment rises to about 2,025, but total interest drops to roughly 124,500. That trade-off is the single most important lesson in any mortgage.

What the payment does and does not include

The formula above covers principal and interest only — often shortened to P&I. Your real monthly housing cost usually also includes:

  • Property taxes
  • Homeowners insurance
  • Private mortgage insurance (PMI), common when you put down less than 20%
  • HOA fees, if your property has them

Lenders bundle these into an escrow as PITI (principal, interest, taxes, insurance). Treat the calculator's figure as the loan repayment, then add these to budget realistically.

Tips to lower what you pay

Small moves add up over decades:

  • A larger down payment shrinks the principal and can remove PMI.
  • Even a 0.25% lower rate saves thousands over 30 years — shop multiple lenders.
  • A shorter term means higher payments but far less interest.
  • One extra payment a year quietly shortens the loan and cuts interest.

To compare other borrowing, try the Loan Calculator, and use the Compound Interest Calculator to see how the money you save could grow if invested.

How the rate and term change your payment

Two levers move a mortgage payment more than anything else: the interest rate and the length of the loan. The table below takes the same 240,000 loan and shows how the monthly principal-and-interest payment and the lifetime interest shift as each one changes.

Loan Rate Term Monthly P&I Total interest
240,000 5% 30 yr about 1,288 about 223,800
240,000 6% 30 yr about 1,439 about 278,200
240,000 7% 30 yr about 1,597 about 334,800
240,000 6% 15 yr about 2,025 about 124,500

Notice two things. A single percentage point on a 30-year loan swings lifetime interest by roughly 55,000. And halving the term from 30 to 15 years raises the monthly payment by under 600 yet cuts total interest by more than half. This is why locking a lower rate and choosing the shortest term you can comfortably afford are the two highest-impact decisions a borrower makes.

Why early payments are mostly interest

Amortization can feel counter-intuitive: in the first years you barely dent the balance. That is because interest is charged on the outstanding principal, which is largest at the start. On the 240,000 example at 6%, the very first payment of about 1,439 splits into roughly 1,200 of interest and only 239 of principal. By the final year that flips, with almost the whole payment going to principal.

This front-loading is why extra principal payments early in the loan are so powerful — every dollar you add reduces the balance that all future interest is calculated on. It is also why selling or refinancing in the first few years means you have built very little equity through payments alone. The free Mortgage Calculator shows your total interest so you can see this effect in your own numbers.

Common mortgage mistakes to avoid

A few errors cost borrowers the most:

  • Shopping only the monthly payment. A lower payment often hides a longer term and far more total interest. Always compare total cost.
  • Forgetting taxes, insurance and PMI. The P&I figure is not your full housing bill; budget for the extras so you are not caught short.
  • Stretching to the maximum you qualify for. Lenders approve a ceiling, not a comfortable amount. Leave room for repairs, rate changes on adjustable loans, and life.
  • Ignoring closing costs. Points, fees and escrow setup can add thousands up front and affect whether a lower rate is actually worth it.
  • Skipping the rate shop. Quotes from three or more lenders on the same day routinely differ by enough to save tens of thousands over the life of the loan.

Is it free and private?

Yes. The Mortgage Calculator is free, needs no sign-up, and does every calculation locally in your browser. Your financial figures are never uploaded anywhere. It gives estimates to help you plan; confirm exact numbers with your lender. Browse more free calculators or see all tools.

Try the tool from this guide

Mortgage Calculator

Estimate your monthly home loan payment.

Open Mortgage Calculator

Frequently asked questions

How do I calculate my monthly mortgage payment?

Use the amortization formula M = P x r x (1 + r)^n / ((1 + r)^n - 1), where P is the loan amount, r is the monthly rate, and n is the number of payments. The free Mortgage Calculator does this automatically when you enter the price, down payment, rate and term.

Is the Mortgage Calculator free?

Yes, it is completely free with no sign-up and no limits. It runs in your browser, so you can run as many scenarios as you want.

Does the calculator include taxes and insurance?

The estimate covers principal and interest. Property taxes, homeowners insurance, PMI and HOA fees are extra, so add those to budget for your full monthly housing cost.

Is my financial information private?

Yes. All calculations happen locally in your browser. Nothing you enter is sent to or stored on any server.

Should I choose a 15-year or 30-year mortgage?

A 30-year term has lower monthly payments but much higher total interest, while a 15-year term costs more each month but saves a large amount overall. Use the calculator to compare both against your budget.

Why does so little of my early payment go to the principal?

Interest is charged on the outstanding balance, which is highest at the start of the loan, so early payments are mostly interest and only a small slice reduces the principal. As the balance falls, more of each payment goes to principal. This is why making extra payments early saves the most interest.

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