The formula step by step
- Start with the quoted annual rate r = 4.94%.
- Semi-annual rate: r ÷ 2 = 2.470%.
- Effective annual rate: (1 + 0.02470)² − 1 = 5.0010%.
- Equivalent monthly rate: (1 + 0.02470)1/6 − 1 = 0.40749% (vs 0.41167% if you simply divided by 12).
- Number of payments: 25 years × 12 = 300.
- 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 rate | Effective annual | Monthly rate | Canadian pmt | Monthly-compounded pmt | Difference |
|---|---|---|---|---|---|
| 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.
Related mortgage articles
Assumptions & sources
- Bank of Canada raised the target for the overnight rate by 25 basis points to 2.50% on 28 October 2026 (Bank Rate 2.75%, deposit rate 2.45%); next decision 9 December 2026. Big-bank prime rose to 4.70% on 29 October 2026.
- Typical rates: 4.94% 5-year fixed and 3.95% 5-year variable are the median of the 17 lenders listed in Ratehub.ca’s rate tables updated 2 November 2026 (fixed range 4.44%–5.99%, variable 3.68%–4.70%). Insured (high-ratio) mortgages often get slightly lower rates than uninsured ones.
- Fixed-rate payments use Canadian semi-annual compounding (Interest Act); variable-rate payments use monthly compounding, which most lenders apply to variable mortgages. Rates are assumed constant for the whole amortization.
- CMHC homeowner premiums on the loan amount: 4.00% above 90% loan-to-value, 3.10% for 85.01–90%, 2.80% for 80.01–85%, plus 0.20% for amortizations over 25 years. Provincial sales tax on the premium in Ontario (8%), Quebec (9%) and Saskatchewan (6%) must be paid in cash at closing.
- Minimum down payment (Department of Finance rules from 15 December 2024): 5% of the first $500,000, 10% of the portion from $500,000 to $1.5 million; 20% at $1.5 million or more, where default insurance is not available. 30-year insured amortizations: first-time buyers and buyers of new builds.
- Stress test: qualify at the greater of 5.25% or the contract rate + 2 points (OSFI Guideline B-20; the same floor applies to insured loans). Income needed uses CMHC’s 39% GDS / 44% TDS limits, property tax of 1% of the price a year and $100/month heating. Take-home pay: 2026 Ontario, from our Canada salary after tax engine.
- National average price: CREA, September 2026 ($666,538, −1.6% year over year).