Canadian Mortgage
Calculate Canadian mortgage payments with semi-annual compounding, CMHC insurance premiums, and amortization schedules specific to Canada
Formula
Payment with semi-annual compounding
Canadian mortgages use semi-annual compounding. CMHC insurance is added for down payments under 20%.
Worked Examples
Example 1: Calculate CMHC Premium
Problem:$600,000 home, 10% down payment.
Solution:Down payment: $60,000 Mortgage: $540,000 CMHC rate at 10% down: 3.1% Premium: $540,000 ร 0.031 = $16,740 Total mortgage: $556,740
Result:CMHC: $16,740
Example 2: Accelerated Bi-Weekly
Problem:$400,000 mortgage, 5%, 25-year amortization.
Solution:Monthly payment: ~$2,326 Accelerated bi-weekly: $2,326 รท 2 = $1,163 26 payments ร $1,163 = $30,238/year vs 12 ร $2,326 = $27,912/year Pays off ~3 years early!
Result:Saves ~$20,000+ interest
Example 3: Stress Test
Problem:Qualify at 5% rate, what stress test rate?
Solution:Stress test rate = higher of: - Contract rate + 2% = 7% - Floor rate = 5.25% You must qualify at 7%. This reduces max affordability by ~20%.
Result:Must qualify at 7%
Frequently Asked Questions
How does a Canadian mortgage differ from a US mortgage?
Three structural differences matter. Canadian fixed rates are compounded semi-annually rather than monthly, which changes the payment for the same posted rate. The rate is locked only for a term, commonly five years, and then renews at whatever the market offers, whereas the American standard is a rate fixed for the full 30 years. And mortgage default insurance is mandatory whenever the down payment is under 20%.
What is CMHC mortgage default insurance?
Mortgage default insurance protects the lender, not the borrower, and is required by law on any high-ratio mortgage where the down payment is below 20%. Canada Mortgage and Housing Corporation is the largest provider, alongside private insurers Sagen and Canada Guaranty. The premium is a percentage of the loan that rises as the down payment falls, roughly 2.8% at 15-19.99% down and 4.0% at 5-9.99% down, and is normally added to the principal.
What is the mortgage stress test?
Federally regulated lenders must qualify borrowers at the greater of the contract rate plus two percentage points or the 5.25% minimum qualifying rate. The test does not change the rate you actually pay; it shrinks the amount you can borrow, so that a renewal at a higher rate does not become unaffordable. It was introduced for insured mortgages and extended to uninsured ones in January 2018.
What is the difference between amortization and term?
Amortization is the total time to repay the mortgage in full, most often 25 years, and it determines the size of each payment. The term is the shorter window over which the interest rate and conditions are contracted, typically five years. At the end of each term you renew the remaining balance at current rates, so a 25-year amortization usually involves five separate terms.
How do accelerated bi-weekly payments work?
An accelerated bi-weekly payment is simply the monthly payment divided by two, taken every two weeks. Because a year contains 26 two-week periods rather than 24, you make the equivalent of 13 monthly payments instead of 12. The extra payment goes entirely to principal, which on a 25-year amortization typically retires the mortgage about three years early and saves a substantial amount of interest.
Why does semi-annual compounding matter?
Canadian fixed mortgage rates are quoted with semi-annual compounding, so a posted 5% has an effective annual cost of (1 + 0.05/2)^2 - 1 = 5.0625%. A US mortgage quoted at 5% compounds monthly, giving (1 + 0.05/12)^12 - 1 = 5.1162%. The same headline number is therefore slightly cheaper in Canada, and using a US formula on a Canadian rate overstates the payment.
What is the minimum down payment in Canada?
The minimum is tiered by purchase price. Homes at or below $500,000 require 5%. Between $500,000 and $1.5 million you need 5% on the first $500,000 plus 10% on the remainder. Above $1.5 million the minimum is 20% and no default insurance is available. Reaching 20% at any price point removes the insurance premium entirely.
Can I pay off a Canadian mortgage early?
Most closed mortgages include annual prepayment privileges, commonly allowing you to pay 10% to 20% of the original principal as a lump sum each year and to increase the regular payment by a similar percentage, both penalty-free. Breaking a closed fixed-rate mortgage outright is expensive: the penalty is normally the greater of three months' interest or the interest rate differential, which can run to thousands of dollars.
Should I choose a fixed or variable rate?
A fixed rate locks your interest cost for the whole term, so the payment is predictable and the risk sits with the lender. A variable rate moves with the lender's prime rate, usually starts lower, and shifts that risk to you. Variable mortgages also tend to carry a cheaper break penalty, normally three months' interest, which matters if you may sell or refinance mid-term.
What programs help Canadian first-time buyers?
The First-Time Home Buyer Incentive, a shared-equity program, stopped accepting new applications in March 2024. The two main federal measures now are the First Home Savings Account, which allows contributions of $8,000 per year up to a $40,000 lifetime limit with tax-deductible contributions and tax-free qualifying withdrawals, and the Home Buyers' Plan, a tax-free RRSP withdrawal that must be repaid over 15 years.
Background & Theory
Canadian mortgages have unique features compared to US mortgages.
Key Differences from US:
- Semi-annual compounding
- Shorter terms (1-10 years, usually 5)
- CMHC insurance required <20% down
- Stress test qualification
- Different tax treatment (no deduction)
CMHC Premium Rates:
| Down Payment | Premium |
|---|---|
| 5-9.99% | 4.00% |
| 10-14.99% | 3.10% |
| 15-19.99% | 2.80% |
| 20%+ | None |
Payment Frequencies:
- Monthly: 12 payments/year
- Semi-monthly: 24 payments
- Bi-weekly: 26 payments
- Accelerated bi-weekly: Monthly รท 2, 26 times
- Weekly: 52 payments
Stress Test (B-20):
Qualify at higher of:
- Contract rate + 2%
- 5.25% floor
First-Time Buyer Programs:
- FHSA: First Home Savings Account, launched 2023 ($8,000/year, $40,000 lifetime)
- HBP: tax-free RRSP withdrawal, repaid over 15 years
- Land Transfer Tax rebates (provincial and municipal)
- FTHBI: the shared-equity incentive stopped taking new applications in March 2024