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Basics

How Canadian Mortgage Interest Is Calculated (Semi-Annual Compounding)

Why Canadian fixed-rate mortgages compound semi-annually, how to convert the posted rate to a monthly rate, and why US calculators overstate your payment.

If you have ever compared a Canadian bank’s payment with an online calculator and found they don’t quite match, compounding is almost always the reason. Canadian fixed-rate mortgages compound semi-annually; most calculators on the internet compound monthly.

The rule

Section 6 of the federal Interest Act requires a blended-payment mortgage to state its rate “calculated yearly or half-yearly, not in advance”. In practice every Canadian lender quotes fixed rates compounded half-yearly. The rate you see, say 5%, therefore means 2.5% every six months.

Converting to a monthly rate

To charge interest monthly, the lender needs the monthly rate that compounds to 2.5% over six months:

monthly rate = (1 + 0.05 / 2)1/6 − 1 = 0.41239%

A US-style calculator would use 5% ÷ 12 = 0.41667%. The difference looks tiny, but it applies to your entire balance every month for 25 years.

Worked example

$500,000 at 5% over 25 yearsMonthly paymentTotal interest
Canadian (semi-annual compounding)$2,908.02$372,407
US-style (monthly compounding)$2,922.95$376,885

The semi-annual payment is about $15 a month lower, and roughly $4,500 less interest over the amortization.

Other payment frequencies

The same idea works for any frequency. With p payments a year:

rate per payment = (1 + r / 2)2/p − 1

So a weekly payer is charged (1.025)1/26 − 1 = 0.0950% per week at 5%. Our calculators apply the correct rate for each frequency, which is why accelerated and regular schedules come out exactly as your lender shows them.

What about variable-rate mortgages?

The Interest Act applies to blended payments, and many lenders compound variable-rate mortgages monthly. If your variable mortgage document says “compounded monthly”, the US-style math applies. Check the disclosure statement; it must state the compounding frequency.

Key takeaways

  • Canadian fixed rates compound twice a year, so the effective monthly rate is lower than rate ÷ 12.
  • Calculators that ignore this overstate your payment and total interest.
  • Every calculator on this site uses semi-annual compounding.
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