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Mortgage calculator

Enter the amount, the rate and the amortisation period to see your payment, the total interest and the year-by-year schedule. Add an extra payment to see how much time and interest it saves.

This is an estimate for information only. It is not an offer of credit and does not replace the figures given by your lender.

The loan
$

The amount you are borrowing, after your deposit.

%

The nominal rate stated on your offer.

years

Accelerated options pay half (or a quarter) of the monthly payment each period, which adds one extra monthly payment per year.

Extra payments, tax and insurance

Optional. Leave at zero if you only want principal and interest.

Use what your contract states. Canadian mortgages are compounded twice a year by law.

$

Added to every payment and applied to the principal.

$per year
$per year

Result

Fill in the fields to see your result.

How it works

A mortgage is repaid by a constant payment. Each payment covers the interest that has accrued on the outstanding balance, and whatever is left reduces the principal. Because the balance falls, so does the interest portion — which is why the first years are mostly interest and the last years mostly principal.

The payment itself is fixed by the annuity formula: it is the amount that brings the balance to exactly zero after the agreed number of payments. The calculator also builds the real schedule, rounding each payment to the cent the way a lender does, and lets the final payment absorb the rounding difference.

Two settings change the result more than people expect. The first is the compounding convention: at the same stated rate, a mortgage compounded twice a year costs slightly less than one compounded monthly. The second is the payment frequency: an accelerated bi-weekly schedule is simply half the monthly payment paid 26 times a year, which is thirteen monthly payments instead of twelve — enough to cut years off a long mortgage.

Formulas used

Payment of a fixed-rate loan

P = L × i ÷ (1 − (1 + i)^−n)

P
payment per period
L
loan amount
i
interest rate per payment period
n
total number of payments

When the rate is zero the formula degenerates and the payment is simply L ÷ n.

Rate per period when compounding differs from payment frequency

i = (1 + j ÷ c)^(c ÷ p) − 1

j
nominal annual rate
c
compounding periods per year
p
payments per year

When c = p this reduces to i = j ÷ p, the familiar monthly rate.

Interest and principal in a given payment

interest = balance × i principal = P − interest

Worked examples

A 350 000 loan over 25 years at 5.25 %

With monthly payments and monthly compounding, the rate per period is 5.25 % ÷ 12 = 0.4375 %, and there are 300 payments.

The payment comes to about 2 097 per month. Over the full term that is roughly 629 000 paid in total, of which around 279 000 is interest — about 80 % of the amount borrowed.

The same loan, paid every two weeks on an accelerated schedule

The accelerated bi-weekly payment is half the monthly payment, about 1 048, paid 26 times a year. That is one extra monthly payment every year.

The loan is repaid roughly three years early and the interest saved runs to tens of thousands — without ever changing the rate or renegotiating anything.

Assumptions and limits

  • The interest rate is fixed for the whole amortisation period.
  • Payments are made at the end of each period, in equal amounts.
  • Each payment and each interest charge is rounded to the cent; the final payment absorbs the accumulated rounding.
  • Property tax and insurance, when entered, are spread evenly across the payments and are not part of the loan balance.
  • No fee is financed into the loan amount.

Frequently asked questions

Why does my lender quote a slightly different payment?

Almost always because of the compounding convention or the first payment date. Canadian mortgages compound semi-annually, which gives a lower payment than monthly compounding at the same stated rate. Some lenders also finance fees into the loan, which raises the amount being amortised.

Set the compounding option to match your contract and add any financed fees to the loan amount, and the numbers usually line up to the cent.

Are accelerated payments really worth it?

They are the simplest way to shorten a mortgage, because they do not require negotiating anything. An accelerated bi-weekly schedule pays 26 half-payments a year — the equivalent of 13 monthly payments rather than 12. On a 25-year mortgage that typically removes about three years and a large share of the interest.

The catch is cash flow: you pay roughly 8 % more per year. Check that the extra fits your budget before committing.

Does an extra payment go entirely to the principal?

In this calculator, yes — that is the standard treatment for a prepayment. Every extra amount reduces the balance directly, so all the interest that balance would have generated disappears with it.

In a real contract, check the prepayment terms. Many mortgages cap the amount you may prepay each year without a penalty.

What is not included in this calculation?

Mortgage default insurance, appraisal and legal fees, title costs and any variable-rate change. Property tax and home insurance are included only if you enter them, and they are shown separately from the loan payment because they are not part of the amortisation.

What happens at the end of a term?

In countries where a mortgage runs in short terms inside a long amortisation — five years inside twenty-five, for example — you renew at the rate available then. This calculator assumes the rate you entered applies for the whole amortisation, which is the right way to compare scenarios, but not a forecast of what you will actually pay after renewal.

Sources

  • Annuity and amortisation formulas — standard financial mathematics
  • Canada, Interest Act, section 6 — semi-annual compounding requirement for mortgages

Updated