How this calculator works
- Step 1Quoted rate4.5%Fixed, compounded half-yearly.
- Step 2Rate per payment(1 + j/2)^(2/p) − 1Exact equivalent for p payments a year.
- Step 3Level payment$2,767.36Clears the loan over the amortization.
Canada’s Interest Act requires a mortgage with blended payments to state its rate calculated yearly or half-yearly. Fixed-rate mortgages are quoted compounded half-yearly, unlike the monthly compounding common in the US.
So a 4.5% quote means 2.25% every six months, an effective 4.5506% a year. The calculator converts that to the exact rate for each payment.
Worked example: $500,000 at 4.5% over 25 years
- Monthly rate
i = (1 + 0.045/2)^(1/6) − 1- Payment
P × i ÷ (1 − (1 + i)^−300)
- Monthly rate0.3715%
- Payments300
- Monthly payment$2,767.36
- Total interest$330,209.43
The Financial Consumer Agency of Canada’s calculator gives the same $2,767.36 and $330,209.43. For $100,000 at 5%, both give $581.60.
Accelerated payments save interest
Accelerated bi-weekly pays half a monthly payment 26 times a year: 13 monthly payments instead of 12. The extra goes to principal.
A shorter amortization
- 25 years$2,767.36Interest $330,209.43.
- 20 years$3,152.03Interest $256,486.19.
The FCAC calculator converts weekly, bi-weekly and semi-monthly rates from the monthly rate, so its figures for those plans can differ from this one by cents to about a dollar; monthly figures agree exactly.
Related mortgage tools
Canadian lenders compound fixed rates half-yearly, in line with the Interest Act. Most other mortgages compound monthly.
For a standard monthly-compounded mortgage, use the mortgage calculator. The amortization calculator shows each month’s split, and the VA mortgage calculator covers a US VA loan.
Common mistakes
Mistake: Using a US mortgage calculator with monthly compounding.
Instead: Canadian fixed rates compound half-yearly; the payment is slightly lower.
Mistake: Assuming the rate holds for 25 years.
Instead: The rate renews each term, often every 5 years.
Mistake: Choosing plain bi-weekly to pay off faster.
Instead: Only accelerated plans add the extra payment.
Methodology and sources
A separate script finds each payment by bisection and walks the schedule, and reproduces the FCAC calculator’s monthly figures.
The compounding rule comes from section 6 of the Interest Act. Sources, the review date and the financial disclaimer follow.
Read how we test our calculators, or browse more money calculators.