Canadian mortgage calculator

Canadian mortgage payment with semi-annual compounding, accelerated bi-weekly or weekly options, the CMHC insurance premium and the balance at renewal.

업데이트 검증한 예제: 6

C$
%
Minimum: 5% of the first $500,000 and 10% of the rest; 20% at $1.5 million or more (FCAC).
%
Fixed-rate mortgages compound half-yearly under the Interest Act convention. Choose monthly only if your contract says interest compounds monthly.
years
Insured mortgages: 25 years, or 30 if a borrower is a first-time buyer or the home is newly built (since December 15, 2024).
Allows a 30-year amortization on an insured mortgage.
years
Years until renewal; the balance left then is renewed at the rate on offer.
추가 옵션
CMHC charges 4.50% instead of 4.00% above 90% loan-to-value.
%
Ontario, Quebec and Saskatchewan tax the premium; the tax is paid at closing and can't be added to the mortgage (CMHC). Check Revenu Québec for Quebec's rate.
시도하기
Mortgage payment
C$per month
Mortgage payment: C$3,081.41 per month
소수 자릿수: 2; 가장 가까운 값, 중간값은 끝자리가 짝수인 쪽으로
Minimum down payment
C$35,000.00
선납금
C$60,000.00
Mortgage before insurance
C$540,000.00
Loan-to-value
90.00%
CMHC premium rate
3.10%
Mortgage insurance premium
C$16,740.00
Sales tax on the premium (cash)
C$0.00
Total mortgage
C$556,740.00
Effective annual rate
4.5506%
Interest paid in the term
C$116,941.93
Balance at renewal
C$488,797.61
Total interest
C$367,681.60
Time to pay off
25.00years
In Ontario, Quebec and Saskatchewan, provincial sales tax on the premium is due in cash at closing; enter the rate under More options.
The rate is fixed only for the 5-year term; the balance of C$488,797.61 is renewed at whatever rate is offered then.

You borrow C$556,740.00, including a C$16,740.00 insurance premium, and pay C$3,081.41 per month. By renewal after 5 years you will have paid C$116,941.93 of interest and still owe C$488,797.61. The mortgage is repaid after 25 years with C$367,681.60 of interest in all.

Mortgage balance

C$0C$200KC$400K0510152025YearRenewal

Total interest by payment frequency

MonthlyC$367.7KSemi-monthlyC$366.8KBi-weeklyC$366.8KAccel. bi-weeklyC$311.9KWeeklyC$366.4KAccel. weeklyC$311.3K

Where the money goes

C$924.4Krepaid in all
Loan58.4%Insurance premium1.8%이자39.8%
Year-by-year schedule, monthly payments 행 수: 25
년Payments원금이자Balance at year end
1C$36,976.86C$12,406.75C$24,570.12C$544,333.25
2C$36,976.86C$12,971.33C$24,005.53C$531,361.92
3C$36,976.86C$13,561.61C$23,415.26C$517,800.32
4C$36,976.86C$14,178.74C$22,798.12C$503,621.57
5C$36,976.86C$14,823.97C$22,152.90C$488,797.61
6C$36,976.86C$15,498.55C$21,478.32C$473,299.06
7C$36,976.86C$16,203.83C$20,773.03C$457,095.23
8C$36,976.86C$16,941.21C$20,035.66C$440,154.03
9C$36,976.86C$17,712.14C$19,264.73C$422,441.89
10C$36,976.86C$18,518.15C$18,458.72C$403,923.74
계산 방법 S
  1. Minimum down payment

    5%×500,000+10%×(600,000.00−500,000)=35,000.005\% \times 500{,}000 + 10\% \times (600{,}000.00 - 500{,}000) = 35{,}000.00

    Your down payment of C$60,000.00 is 10% of the price.

  2. Mortgage insurance

    LTV=540,000.00600,000.00=90.00%,3.1%×540,000.00=16,740.00\text{LTV} = \frac{540{,}000.00}{600{,}000.00} = 90.00\%,\quad 3.1\% \times 540{,}000.00 = 16{,}740.00

    CMHC homeowner premium for this loan-to-value. It is added to the mortgage.

  3. Effective annual rate

    (1+4.5%2)2−1=4.5506%\left(1 + \frac{4.5\%}{2}\right)^{2} - 1 = 4.5506\%

    Half-yearly compounding, as the Interest Act convention for fixed-rate mortgages requires.

  4. Monthly payment

    i12=(1+0.04550625)1/12−1=0.003715319575,M=556,740.00 i12(1+i12)300(1+i12)300−1=3,081.41i_{12} = (1 + 0.04550625)^{1/12} - 1 = 0.003715319575,\quad M = \frac{556{,}740.00\, i_{12} (1+i_{12})^{300}}{(1+i_{12})^{300} - 1} = 3{,}081.41
  5. Term and total interest

    interest in 5 years=116,941.93,total=367,681.60\text{interest in 5 years} = 116{,}941.93,\quad \text{total} = 367{,}681.60

    Paid off after 300 payments (25 years).

Canadian mortgage calculator 소개

Canadian fixed-rate mortgages compound interest twice a year. The Interest Act (section 6) requires a blended-payment mortgage to state its rate "calculated yearly or half-yearly, not in advance", so 5% means 2.5% every six months, or 5.0625% a year effective. Each payment uses the matching rate per period, for example (1.025)^(1/6) − 1 per month.

With the defaults, a 600,000 home with 10% down needs a CMHC premium of 3.10%, or 16,740, added to the 540,000 loan; at 4.5% over 25 years the 556,740 mortgage costs 3,081.41 a month. The Financial Consumer Agency of Canada's table gives 1,744.81 a month for 300,000 at 5% over 25 years, which this calculator reproduces.

Accelerated bi-weekly payments, half the monthly payment every two weeks, add the equivalent of one monthly payment a year. On that 300,000 mortgage they end the loan in 21.5 years and save 36,261.51 of interest.

계산 예제

FCAC table: 300,000 at 5% over 25 years

Purchase price
375,000
Enter down payment as
Percent of price
선납금
20%
Interest rate (per year)
5%
Interest compounded
Semi-annually (fixed)
Amortization
25 years
Payment frequency
Monthly
Mortgage term
5 years
Mortgage payment
1,744.81 per month
Total interest
223,444.49
Interest paid in the term
70,211.42
Mortgage insurance premium
0.00
Effective annual rate
5.0625%

검증 출처: Financial Consumer Agency of Canada, Interest on mortgages: 5.00% row — monthly payment 1,744.81, 5-year interest 70,211.42, 25-year interest 223,444.49

FCAC table: 300,000 at 2.5% over 25 years

Purchase price
375,000
Enter down payment as
Amount
선납금
75,000
Interest rate (per year)
2.5%
Interest compounded
Semi-annually (fixed)
Amortization
25 years
Payment frequency
Monthly
Mortgage term
5 years
Mortgage payment
1,343.90 per month
Total interest
103,169.61
Interest paid in the term
34,547.72

검증 출처: Financial Consumer Agency of Canada, Interest on mortgages: 2.50% row — 1,343.90 a month, 34,547.72 over 5 years, 103,169.61 over 25 years

FCAC minimum down payment on a 600,000 home

Purchase price
600,000
Enter down payment as
Amount
선납금
35,000
Interest rate (per year)
4.5%
Interest compounded
Semi-annually (fixed)
Amortization
25 years
Payment frequency
Monthly
Mortgage term
5 years
Minimum down payment
35,000.00
CMHC premium rate
4.00%
Mortgage insurance premium
22,600.00
Total mortgage
587,600.00

검증 출처: FCAC: 5% of 500,000 + 10% of 100,000 = 35,000; CMHC table: LTV 94.17% → 4.00% × 565,000 = 22,600

30-year Home Start amortization at 5% down

Purchase price
500,000
Enter down payment as
Percent of price
선납금
5%
Interest rate (per year)
4.5%
Interest compounded
Semi-annually (fixed)
Amortization
30 years
First-time buyer or newly built home
예
Payment frequency
Monthly
Mortgage term
5 years
CMHC premium rate
4.20%
Mortgage insurance premium
19,950.00
Total mortgage
494,950.00
Mortgage payment
2,495.61 per month

검증 출처: CMHC Home Start premium schedule (90.01–95% LTV: 4.20%); Python decimal annuity at (1.0225)^(1/6) − 1 over 360 months

자주 묻는 질문

Why are Canadian mortgages compounded semi-annually?

Section 6 of the Interest Act requires a mortgage with blended payments to state its rate calculated yearly or half-yearly, not in advance, and fixed rates are quoted with half-yearly compounding. A 5% rate is then 5.0625% effective a year instead of 5.1162% with monthly compounding. On 300,000 over 25 years the payment is 1,744.81 a month rather than 1,753.77.

What is the minimum down payment in Canada?

5% of the price up to 500,000; 5% of the first 500,000 plus 10% of the rest up to 1.5 million; and 20% at 1.5 million or more, where mortgage insurance is not available (Financial Consumer Agency of Canada). A 600,000 home needs at least 25,000 + 10,000 = 35,000. With less than 20% down you typically need mortgage default insurance.

How much is CMHC mortgage insurance?

CMHC charges a one-time premium on the loan: 2.80% at 80.01% to 85% loan-to-value, 3.10% up to 90% and 4.00% up to 95% (4.50% with a borrowed down payment). Amortizations over 25 years add 0.20 points. The premium is usually added to the mortgage; Ontario, Quebec and Saskatchewan charge sales tax on it, payable in cash. At 94.17% LTV on 565,000 the premium is 22,600.

Can you get a 30-year mortgage in Canada?

Yes. Since December 15, 2024, an insured mortgage (under 20% down) can be amortized over 30 years if a borrower is a first-time buyer or the home is newly built (Department of Finance); others are capped at 25 years. With 5% down on 500,000 at 4.5%, 30 years costs 2,495.61 a month against 2,734.16 over 25 years, but 77,224.44 more interest.

How much do accelerated bi-weekly payments save?

Paying half the monthly payment every two weeks makes 26 half-payments, or 13 monthly payments, a year. On 300,000 at 5% over 25 years, accelerated bi-weekly payments of 872.41 end the mortgage in 21.5 years and save 36,261.51 of interest; accelerated weekly payments of 436.20 save 36,673.39. Regular bi-weekly payments, set to last 25 years, save only 579.95.

“Canadian mortgage calculator”의 정확도는 어느 정도인가요?

정확도는 입력값과 계산 방법의 가정에 따라 달라집니다. 십진 연산은 유효숫자 50자리를 사용하지만, 추정값·수치해석 방법·원본 데이터의 정밀도는 더 낮을 수 있습니다. 표시값을 반올림해도 이러한 한계는 사라지지 않습니다. 독립적인 출처의 풀이와 대조한 계산 예시: 6. 예를 들어 “FCAC table: 300,000 at 5% over 25 years”은 Financial Consumer Agency of Canada, Interest on mortgages: 5.00% row — monthly payment 1,744.81, 5-year interest 70,211.42, 25-year interest 223,444.49와 대조해 확인합니다.

이 계산 방법의 출처는 무엇인가요?

Interest Act (R.S.C., 1985, c. I-15), section 6; Financial Consumer Agency of Canada — Interest on mortgages (payment table for 300,000 over 25 years); Financial Consumer Agency of Canada — Saving for a down payment; CMHC — Premium information for homeowner and small rental loans; CMHC — Home Start (30-year amortization premiums); Department of Finance Canada — Boldest mortgage reforms in decades come into force.

이 계산기 소개

ip=(1+j2)2/p−1,M=L i121−(1+i12)−12ai_p = \left(1+\tfrac{j}{2}\right)^{2/p} - 1,\quad M = \frac{L\,i_{12}}{1-(1+i_{12})^{-12a}}

출처

  1. Interest Act (R.S.C., 1985, c. I-15), section 6
  2. Financial Consumer Agency of Canada — Interest on mortgages (payment table for 300,000 over 25 years)
  3. Financial Consumer Agency of Canada — Saving for a down payment
  4. CMHC — Premium information for homeowner and small rental loans
  5. CMHC — Home Start (30-year amortization premiums)
  6. Department of Finance Canada — Boldest mortgage reforms in decades come into force

계획을 위한 참고용입니다. 대출기관, 세무당국과 시장은 자체 반올림 방식, 수수료와 규칙을 적용합니다. 계약 등의 결정을 내리기 전에 해당 기관에 수치를 확인하세요.

출처와 대조하여 검증

이 계산기에는 독립적인 출처에서 답을 얻은 계산 예제가 6개 있습니다. 테스트 모음에서 실행되며 여기에서도 실행할 수 있습니다.

관련 계산기