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Home Loan Calculator – Mortgage Payment

Quick answer

Home loan payment = P × r(1+r)^n/((1+r)^n−1).

  • See the monthly installment, total interest and payoff cost for any house price, rate and term.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How Does the Home Loan Calculator Work?

Monthly payment = P × r(1+r)^n / ((1+r)^n − 1)

A home loan is an amortizing mortgage: each fixed installment pays the month’s interest on the outstanding balance first, and whatever remains reduces the principal. The calculator applies the standard annuity formula with P as the amount borrowed, r the monthly rate and n the number of payments. Example: borrowing 850,000 at 6.75% for 25 years gives r = 0.005625 and n = 300, so the payment is 850,000 × 0.005625 × (1.005625)^300 ÷ ((1.005625)^300 − 1) ≈ 5,873 per month. Across 300 payments the home costs about 1,761,900 total — 911,900 of interest on top of the principal, more than the loan itself. Paying just 200 extra toward principal each month shortens the payoff by roughly 4.5 years and saves in the neighborhood of 160,000 in interest.

  1. 1

    Step 1

    Enter the home price and your down payment to get the loan amount P.

  2. 2

    Step 2

    Enter the annual interest rate and the term (15, 20, 25 or 30 years).

  3. 3

    Step 3

    Read the monthly installment and the total interest over the full term.

  4. 4

    Step 4

    Test extra monthly principal to see years and interest saved.

Use Cases

House price budgeting

Working back from an affordable payment to a realistic price range

Term comparison

Weighing a 15-year payment against a 25-year one at the same rate

Extra-payment planning

Sizing the additional principal that cuts years off the mortgage

Refinance readiness

Knowing your current payoff figures before shopping new rates

Common Mistakes

  • Forgetting taxes and insurance

  • Small down payment blindness

  • Anchor on the rate only

FAQs

How much is the monthly payment on an 850,000 home loan at 6.75% for 25 years?

About 5,873 per month using P × r(1+r)^n/((1+r)^n−1) with r = 0.005625 and n = 300. Total repaid is roughly 1,761,900, including about 911,900 of interest.

15-year vs 30-year mortgage — how different is the total cost?

At 6.5%, an 850,000 loan costs about 7,391/month over 15 years (≈480,000 interest) versus about 5,372/month over 30 years (≈1,084,000 interest) — paying 2,019 more monthly saves over 600,000 in interest.

What does one extra payment per year do?

On a 25-year 850,000 loan at 6.75%, one extra monthly installment (≈5,873) applied to principal each year cuts the payoff by roughly 5 years and saves on the order of 200,000 in interest.

How much do I need for a 20% down payment?

20% of the home price: 170,000 on an 850,000 property. Below that, lenders typically add mortgage insurance until your equity reaches 20–22%.

Does the payment change over the loan life?

On a fixed rate, no — principal and interest stay constant while the mix shifts from mostly interest to mostly principal. On adjustable-rate loans the payment resets whenever the index moves.