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United States·Calculators·Mortgage

Mortgage repayment calculator

Repayments use the standard amortisation formula: P x [r(1+r)^n] / [(1+r)^n - 1]. Enter the loan amount, rate and term to calculate.

Your numbers
$USD
% p.a.
years
Monthly payment:
$2,923
12 payments a year over 25 years
Total interest$376,885
Total repaid$876,885
Interest per dollar borrowed0.75
Rate5.00%
No. These are general information tools. Each one shows the formula it used so you can check the working, but none of them account for your circumstances.
Principal and interest only. Property tax, homeowners insurance, flood insurance and mortgage insurance are not included; any escrow payment and homeowners association dues are excluded. Payments, interest, balances and totals are estimates rounded separately for display. Calculations use unrounded payments and interest, so displayed payments may not sum to the total. This is not a lender cash-flow schedule. Amounts over 90 trillion are past what this calculates. The interest rate remains constant for the full loan term. Principal and interest payments are made monthly. Interest is divided evenly across 12 periods per year. No fees, extra repayments, redraws, offsets, payment holidays or balloon payment.
Principal against interest over 25 years57.0% principal · 43.0% interest
Principal$500,00057.0%Interest$376,88543.0%
Which term should you fix for?
Every row uses the 5.00% rate you entered, held the same for every term. This site publishes no separate market rate for each fixed term, so no best rate is shown. Repayments are monthly, and the interest and total repaid cover that fixed period only.
Repayment schedule by fixed term
TermMonthly repaymentInterest over termTotal repaid
6 months$2,923$12,447$17,538
1 year$2,923$24,766$35,075
2 years$2,923$49,004$70,151
3 years$2,923$72,688$105,226
5 years$2,923$118,278$175,377
Source: Freddie MacUsing Freddie Mac rates

How it works

The calculator uses the standard amortising loan formula. Each repayment covers the interest accrued since the last one, and whatever is left over reduces the balance. Early on, most of the payment is interest. Later, most of it is principal.

Changing frequency recalculates the payment, not the loan term. Interest uses the annual rate divided by payments per year, so total interest varies slightly with frequency.

The formula

Nothing is hidden here. This is the calculation running behind the number above.

payment = P × r ÷ (1 − (1 + r)⁻ⁿ)
Pthe amount borrowed
rthe interest rate for one period — annual rate ÷ payments per year
ntotal number of payments — years × payments per year

A worked example

Borrow $500,000 at 5.00% over 25 years, repaid monthly. The period rate is 5.00% ÷ 12, and there are 300 payments.

Amount borrowed$500,000
Payments300
Each payment$2,922.95
Interest over the term$376,885

Common questions

Is this the whole cost of the loan?
It covers principal and interest. Application fees, insurance and anything your lender bundles into the payment sit outside this calculation.
What happens when my fixed period ends?
You move to whatever rate applies then. This calculator assumes one rate for the whole term, so treat long-term totals as a shape rather than a promise.
Do extra repayments help?
Every extra amount comes straight off the balance, so it removes every future interest charge on that amount. Check whether your loan caps extra repayments first.
Why does my lender quote a different number?
Rounding, fee treatment and daily versus per-period interest all differ between lenders. Expect a small gap, not a large one.

The rules behind this calculator

Written up, with the page each rule came from.
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