🇨🇦 Nov 2026
GUIDE · THE MATHS

How Canadian mortgage payments are calculated

Semi-annual compounding, the Interest Act and a worked example.

ESTIMATE

Illustrative estimates as of 3 November 2026, not financial advice or a mortgage offer. Rates: typical 5-year fixed 4.94% and variable 3.95% (median of 17 lenders on Ratehub.ca, 2 November 2026); Bank of Canada policy rate 2.50% (raised 28 Oct 2026), prime 4.70%. Your lender’s rate and approval will differ.

Canadian fixed-rate mortgage payments are calculated with interest compounded semi-annually, not monthly. The posted rate is converted to an equivalent monthly rate, (1 + r/2)1/6 − 1, and then the standard annuity formula is applied. That makes a Canadian payment slightly lower than a US-style calculator would show — $11.62 a month on $400,000 at 4.94%.

Let the calculator do it

Our Canadian mortgage calculator uses semi-annual compounding automatically.

Open the mortgage calculator →

The formula step by step

i = (1 + r ÷ 2)2 ÷ 12 − 1    payment = L × i ÷ (1 − (1 + i)−n)
  1. Start with the quoted annual rate r = 4.94%.
  2. Semi-annual rate: r ÷ 2 = 2.470%.
  3. Effective annual rate: (1 + 0.02470)² − 1 = 5.0010%.
  4. Equivalent monthly rate: (1 + 0.02470)1/6 − 1 = 0.40749% (vs 0.41167% if you simply divided by 12).
  5. Number of payments: 25 years × 12 = 300.
  6. Payment: $400,000 × 0.0040749 ÷ (1 − (1 + 0.0040749)−300) = $2,312.78.

For other frequencies replace 12 with 24 (semi-monthly), 26 (bi-weekly) or 52 (weekly) in the exponent and in n. Accelerated payments are simply the monthly payment ÷ 2 or ÷ 4.

Why semi-annual?

Section 6 of the federal Interest Act requires blended-payment mortgages to state the rate “calculated yearly or half-yearly, not in advance”. Canadian lenders settled on half-yearly compounding for fixed-rate mortgages. Variable-rate mortgages are generally compounded monthly, so the quoted rate and payment calculation differ slightly.

Canadian vs US-style payment

Quoted rateEffective annualMonthly rateCanadian pmtMonthly-compounded pmtDifference
4.00%4.040%0.3306%$2,104.08$2,111.35$7.27
4.50%4.551%0.3715%$2,213.89$2,223.33$9.44
4.94%5.001%0.4075%$2,312.78$2,324.40$11.62
5.50%5.576%0.4532%$2,441.57$2,456.35$14.78
6.00%6.090%0.4939%$2,559.23$2,577.21$17.98
7.00%7.122%0.5750%$2,801.66$2,827.12$25.45

$400,000 over 25 years. The “monthly-compounded” column is what many generic or US calculators show.

The interest in your first payment

In the first month on $400,000 at 4.94%, interest is $1,629.97 (balance × monthly rate) and the remaining $682.81 reduces principal. That ratio shifts every month: by the end of the first 5-year term you will have paid $92,500 of interest and $46,300 of principal.

Adding CMHC insurance

If your down payment is under 20%, the premium is calculated on the loan and added to it before the payment formula is applied. On $400,000 borrowed with 5% down, the 4.00% premium makes the mortgage $416,000 and the payment $2,405.29.

FAQ

Are Canadian mortgages compounded monthly or semi-annually?

Fixed-rate mortgages are compounded semi-annually, as the Interest Act requires rates on blended-payment mortgages to be stated yearly or half-yearly. Variable-rate mortgages are usually compounded monthly.

What is the formula for a Canadian mortgage payment?

Monthly rate i = (1 + r/2)^(1/6) − 1; payment = L × i ÷ (1 − (1 + i)^−n), where L is the mortgage amount and n the number of monthly payments.

What is the monthly payment on a $400,000 mortgage at 4.94%?

$2,312.78 over 25 years with semi-annual compounding. A monthly-compounded calculator would show $2,324.40.

Why does my bank’s payment differ from an online calculator?

Many generic calculators compound monthly. Canadian fixed-rate mortgages compound semi-annually, which gives a slightly lower payment for the same quoted rate.

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