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US Mortgage Calculator

Built to US rules: interest compounds monthly, and the standard mortgage is the 30-year fixed — one rate locked for the entire loan. The monthly payment a lender quotes bundles more than the loan itself, so this tool breaks out principal and interest, property taxes, homeowners insurance, and HOA dues separately.

Your home and loan

$
$
20% of the home price.
%/yr
Compounded monthly: each month's rate is the annual rate ÷ 12.
Shorter terms carry lower rates in practice and far less total interest — compare below.
$ /yr
Varies enormously by state and county — use the actual tax bill for the home if you have it.
$ /yr
$ /mo
Leave at 0 if the home has no homeowners association.

Your monthly payment

Total monthly payment
$2,724.03
30-year fixed · 360 monthly payments · loan of $340,000.00
Principal & interest6.5% ÷ 12 per month, over 360 payments $2,149.03
Property taxes$5,100.00 per year ÷ 12 $425.00
Homeowners insurance$1,800.00 per year ÷ 12 $150.00
HOA duesMonthly, as entered $0.00
Total monthly payment $2,724.03
Total interest over the term
$433,651.26
Total principal & interest paid
$773,651.26

This is an estimate, not a loan offer. Taxes and insurance are held in escrow by most lenders and change over time, so even with a fixed rate the total payment isn't fixed forever. PMI is not included — with less than 20% down, most conventional loans require it until you reach about 20% equity. Buying in Canada instead? Use the Canada Mortgage Calculator — Canadian mortgages compound differently.

How the math works

A US mortgage compounds monthly, so each month interest is charged at one-twelfth of the annual rate on the remaining balance. The fixed payment that pays the loan off exactly at the end of the term is:

Monthly rate = annual rate ÷ 12
Principal & interest = loan × monthly rate ÷ (1 − (1 + monthly rate)−payments)

Taxes and insurance aren't part of the loan, but most lenders collect one-twelfth of the yearly amounts with each payment and hold them in an escrow account, paying the bills when they come due. That's why the payment you actually make — often called PITI (principal, interest, taxes, insurance) — is higher than the loan payment alone:

Total monthly payment = principal & interest + taxes ÷ 12 + insurance ÷ 12 + HOA

Early in the loan, most of the principal-and-interest payment is interest, because the balance is at its largest. In the worked example, the very first payment is $1,841.67 of interest and only $307.36 of principal; by the final years that split has nearly reversed. This is amortization, and it's why extra principal payments early in the loan save so much interest.

Worked example (in USD)

A $425,000 home with $85,000 down (20%) — a $340,000 loan at 6.5% on a 30-year fixed, with property taxes of $5,100/year and insurance of $1,800/year:

Principal & interest: $340,000 × (6.5% ÷ 12) ÷ (1 − 1.0054167−360) = $2,149.03 a month
Taxes: $5,100 ÷ 12 = $425 · Insurance: $1,800 ÷ 12 = $150
Total monthly payment: $2,149.03 + $425 + $150 = $2,724.03
Total interest over 30 years: $433,651.26 — about $1.28 of interest for every $1 borrowed. The same loan on a 15-year term would cost $2,961.77 a month in principal and interest, but only $193,117.71 in total interest — a saving of about $240,534.

Common gotchas

  • A fixed rate doesn't mean a fixed payment. Principal and interest never change on a fixed-rate loan, but property taxes and insurance premiums do — usually upward. When they rise, your escrow portion rises with them, and the total monthly payment goes up even though your loan terms haven't changed.
  • PMI shows up under 20% down. Private mortgage insurance on a conventional loan typically costs roughly 0.3%–1.5% of the loan amount per year, billed monthly, until you reach about 20% equity; on most conventional loans it must be removed at 78% loan-to-value. It is not included in the figures above, so a small down payment makes the real payment higher than shown. FHA loans charge their own mortgage insurance premiums, with different rules.
  • Closing costs aren't in the payment. Origination fees, discount points, appraisal, title, and prepaid items typically add about 2%–5% of the loan amount at closing. A lower rate bought with points can look cheaper monthly while costing more overall if you move or refinance within a few years.
  • Property taxes vary more than rates do. Effective property tax rates run from well under 0.5% of a home's value in some states to over 2% in others — on a $425,000 home that's the difference between roughly $175 and $700+ a month. Never carry one state's tax assumption into another state's house hunt.
  • The 30-year term is the expensive default. Stretching the loan to 30 years minimizes the monthly payment and maximizes total interest — $433,651 on a $340,000 loan in the example. A 15- or 20-year term usually comes with a lower rate on top of the shorter schedule, which is why the interest saving is so large.
  • An ARM is a different product. Adjustable-rate mortgages fix the rate only for an initial period (5, 7, or 10 years is common), then adjust it periodically. This calculator assumes a fixed rate for the whole term; don't use it to judge an ARM's risk after the fixed period ends.