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Mortgage math

Semi-annual compounding

Definition

The Canadian convention for fixed-rate mortgages: the quoted annual rate compounds twice a year rather than monthly.

At the same quoted rate, semi-annual compounding costs slightly less than monthly compounding, so a Canadian rate isn't directly comparable to a U.S. monthly-compounded one.

The federal Interest Act requires a blended-payment mortgage to state its rate calculated yearly or half-yearly, not in advance, and Canadian lenders quote fixed rates compounded semi-annually. The practical effect: a 5.00% rate compounded semi-annually has an effective annual cost of about 5.06%, versus about 5.12% if it compounded monthly.

You don't have to do this math yourself, but it's why a generic (monthly-compounding) online calculator can show a slightly different payment than your lender's. Variable-rate mortgages typically compound monthly instead.

Our payment and affordability calculators use the Canadian semi-annual method, so the figure you see should closely match your lender's; the commitment letter is the final word.

Sources

  1. Interest Act, s. 6 (blended-payment mortgages) (Justice Laws (Government of Canada))
  2. Interest on mortgages (Financial Consumer Agency of Canada)
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