BedrockCalculator
Verified Primary-Source MathematicsVerified by Aapt Dubey, MBA (Marketing & Finance) Last verified August 30, 2026

Canada Mortgage Affordability Calculator (GDS, TDS and Semi-Annual Compounding)

Quick Answer: At the defaults on this page -- C$140,000 of gross household income, C$150,000 down, C$5,400 of annual property tax, C$150 a month of heat, C$500 a month of other debt, a 4.5% contract rate, a 6.5% qualifying rate and a 25-year amortization -- the maximum purchase price is C$739,707.34, supported by a C$589,707.34 mortgage. Gross debt service is the binding ratio at C$3,950.00 of principal and interest, while total debt service would have allowed C$4,033.33. The payment actually due at the contract rate is C$3,263.87, leaving a C$686.13 monthly cushion. All figures are in Canadian dollars.

Assumptions

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Preset scenarios

Maximum Purchase Price
C$739,707.34

Every period in the schedule below reconciles to the exact penny.

Maximum Mortgage
C$589,707.34
Which Ratio Bound
Gross debt service (GDS)
Payment Allowed by GDS
C$3,950.00
Payment Allowed by TDS
C$4,033.33
Qualifying Principal and Interest Payment
C$3,950.00
Payment at Your Contract Rate
C$3,263.87
Cushion Between Qualifying and Actual Payment
C$686.13
Gross Monthly Income
C$11,666.67
Property Tax, Heat and Half the Condo Fee
C$600.00
Total Monthly Housing Cost
C$3,863.87
Resulting GDS (%)
33.12%
Resulting TDS (%)
37.40%
Down Payment (%)
20.28%
Loan to Value (%)
79.72%
Mortgage Default Insurance
At or below the insurance threshold: no mortgage default insurance required
Total Interest Over the Amortization
C$389,453.86
Total Principal Plus Interest
C$979,161.20
Effective Monthly Rate at the Contract Rate (%)
0.37%
Effective Monthly Rate at the Qualifying Rate (%)
0.53%

Mortgage Balance Over the Amortization

Remaining balanceCumulative principalCumulative interest
300 periods, peak C$588,634

Amortization Schedule on the Maximum Mortgage

Showing 300 rows.

MonthPaymentPrincipalInterest
1C$3263.87C$1072.92C$2190.95
2C$3263.87C$1076.91C$2186.96
3C$3263.87C$1080.91C$2182.96
4C$3263.87C$1084.92C$2178.95
5C$3263.87C$1088.95C$2174.92
6C$3263.87C$1093.00C$2170.87
7C$3263.87C$1097.06C$2166.81
8C$3263.87C$1101.14C$2162.73
9C$3263.87C$1105.23C$2158.64
10C$3263.87C$1109.33C$2154.54
11C$3263.87C$1113.45C$2150.42
12C$3263.87C$1117.59C$2146.28
Page 1 of 25
Quick Answer: At the defaults on this page -- C$140,000 of gross household income, C$150,000 down, C$5,400 of annual property tax, C$150 a month of heat, C$500 a month of other debt, a 4.5% contract rate, a 6.5% qualifying rate and a 25-year amortization -- the maximum purchase price is C$739,707.34, supported by a C$589,707.34 mortgage. Gross debt service is the binding ratio at C$3,950.00 of principal and interest, while total debt service would have allowed C$4,033.33. The payment actually due at the contract rate is C$3,263.87, leaving a C$686.13 monthly cushion. All figures are in Canadian dollars.

Overview

Canadian mortgage qualification runs on two ratios and one rate that is not the rate you will pay.

Gross debt service measures your housing costs against gross income: principal, interest, property tax, heat, and half of any condo fee. Total debt service adds every other debt payment you carry. A lender applies a ceiling to each, and whichever ceiling produces the smaller payment is the one that governs. Knowing which one bound is the most actionable thing this calculator tells you, because if total debt service is binding then paying down a car loan raises your maximum, and if gross debt service is binding then it does not.

The rate used to test those ratios is not your contract rate. Federally regulated lenders qualify borrowers at a higher rate so that the payment remains affordable if rates rise. That produces the slightly odd arithmetic on this page: the maximum mortgage is the present value of the qualifying payment discounted at the QUALIFYING rate, while the payment you will actually make is computed at the contract rate. The difference between the two is the cushion, and it is the entire point of the exercise.

One genuinely Canadian detail underlies all of it. Interest Act s. 6 provides that where mortgage money is repaid in blended payments, no interest is recoverable unless the mortgage states the rate "calculated yearly or half-yearly, not in advance". That is why a Canadian fixed-rate mortgage compounds semi-annually while payments are made monthly, and why a Canadian payment is slightly lower than an American one at the same posted rate. This calculator converts the semi-annual rate to its exact monthly equivalent before solving anything, using the sixth root of one plus half the annual rate.

How This Is Calculated

Step 1 -- find gross monthly income and the fixed housing costs. Note that only half the condo fee enters either ratio:

H=Property Tax12+Heat+Condo Fee2H = \frac{\text{Property Tax}}{12} + \text{Heat} + \frac{\text{Condo Fee}}{2}

Step 2 -- find the payment each ratio allows.

PGDS=gImH,PTDS=tImHDP_{\text{GDS}} = g \cdot I_m - H, \qquad P_{\text{TDS}} = t \cdot I_m - H - D

Step 3 -- take the lesser. That is the qualifying principal and interest payment:

P=min(PGDS, PTDS)P = \min(P_{\text{GDS}},\ P_{\text{TDS}})

Step 4 -- convert the qualifying rate under Interest Act s. 6.

i=(1+r2)1/61i = \left(1 + \frac{r}{2}\right)^{1/6} - 1

Step 5 -- find the mortgage that payment supports at the qualifying rate.

M=P×1(1+i)niM = P \times \frac{1 - (1+i)^{-n}}{i}

Step 6 -- add the down payment for the maximum price, then compute the payment actually due at the contract rate through the same semi-annual conversion.

Worked Example

Using the page defaults, and taking the ratio arithmetic first.

Step 1: gross monthly income. C$140,000 divided by 12 is C$11,666.666, which carries to C$11,666.67

Step 2: monthly property tax. C$5,400 divided by 12. C$450.00

Step 3: total fixed housing costs. C$450.00 plus C$150.00 of heat, with no condo fee. C$600.00

Step 4: the gross debt service allowance. C$11,666.67 at the 39% ceiling. C$4,550.00

Step 5: the payment gross debt service leaves for principal and interest. C$4,550.00 less C$600.00. C$3,950.00

Step 6: the total debt service allowance. C$11,666.67 at the 44% ceiling is C$5,133.33, less C$600.00 of housing costs and C$500.00 of other debt. C$4,033.33

Step 7: take the lesser. C$3,950.00 is smaller, so gross debt service binds. C$3,950.00

Step 8: convert the 6.5% qualifying rate. One plus half of 6.5% is 1.0325, and its sixth root less one gives a monthly effective rate of 0.53%

Step 9: the mortgage that C$3,950.00 supports over 300 months at that rate. C$589,707.34

Step 10: the maximum purchase price. C$589,707.34 plus the C$150,000 down payment. C$739,707.34

Step 11: the payment actually due at the 4.5% contract rate. C$3,263.87

Step 12: the monthly cushion. C$3,950.00 less C$3,263.87. C$686.13

What This Does Not Account For

  • Every ratio ceiling and the qualifying rate are unverified user inputs. The gross and total debt service ceilings are mortgage-insurer and lender underwriting standards published by CMHC, not statute or regulation. The qualifying rate convention comes from OSFI Guideline B-20, which is supervisory guidance for federally regulated lenders and does not bind provincially regulated credit unions. canada.ca returns no response to automated requests, so none of the defaults on this page was confirmed against a primary source in this build.
  • The insurance threshold is also unverified. The loan-to-value level above which mortgage default insurance is required sits in National Housing Act mortgage insurance policy rather than in the statute.
  • The insurance premium itself is not computed. Where insurance is required, the premium is added to the mortgage, which changes both the balance and the payment. This page flags that insurance would be required and stops there.
  • The tiered minimum down payment is not applied. Canada's minimum down payment rises in bands with the purchase price. This calculator reports your down payment percentage so you can check it, but does not enforce a minimum.
  • Lender discretion is not modelled. Real underwriting weighs credit score, employment stability and how much income is bonus or commission, so two applicants with identical inputs here can get very different answers.
  • Property tax is entered, not derived from the price. A more expensive home attracts more property tax, which reduces ratio room, which reduces the price you qualify for. That circularity is not solved here.
  • No closing costs, no land transfer tax, and no ongoing maintenance or property insurance.
  • The full amortization is assumed at one rate. Canadian mortgages are written in terms, typically five years, and renew at whatever rate prevails, so the 25-year interest figure assumes a rate that will not hold.

Common Pitfalls

  • Reading the maximum as a recommendation. These ratios describe what a lender will lend, not what is comfortable. Both are computed on gross income, before tax, CPP and EI, which is why the resulting payment can feel far heavier than the percentage suggests.
  • Paying down the wrong debt. If gross debt service is binding, clearing a car loan changes nothing, because that payment never entered the binding ratio. Check which ratio bound before deciding.
  • Forgetting that only half the condo fee counts. A C$550 fee adds C$275 to the ratios, not C$550. That still costs roughly C$275 of monthly payment room, so a condo qualifies for a smaller mortgage than a freehold at the same price.
  • Assuming a Canadian and an American payment match at the same posted rate. Semi-annual compounding under Interest Act s. 6 makes the Canadian effective monthly rate slightly lower, and the payment slightly smaller.
  • Stretching the amortization to qualify for more. Going from 25 to 30 years raises the maximum price and raises total interest sharply. The calculator will show you both if you change the input.

Frequently Asked Questions

What are the GDS and TDS ratios?
Gross debt service is housing costs over gross income: principal, interest, property tax, heat, and half of any condo fee. Total debt service adds all other debt payments. Lenders apply a ceiling to each and lend against whichever produces the smaller payment. The ceilings are underwriting standards rather than law, which is why this page asks you for them.
What is the mortgage stress test?
The practice of qualifying a borrower at a rate higher than the one they are actually offered, so the payment remains affordable if rates rise. It comes from OSFI Guideline B-20, which is supervisory guidance for federally regulated lenders. Provincially regulated credit unions are not bound by it, though most apply something similar.
Why is a Canadian mortgage compounded semi-annually?
Because of Interest Act s. 6. Where mortgage principal and interest are payable in blended payments, no interest is recoverable unless the mortgage states the rate "calculated yearly or half-yearly, not in advance". The market settled on half-yearly, and every fixed-rate quote in Canada follows that convention.
Why does the calculator use two different rates?
Because qualification and payment are two different questions. The ratios are tested at the qualifying rate, which determines how much you can borrow. The payment you will actually make is computed at your contract rate. The gap between them is the cushion the stress test is designed to create.

Sources

  • Interest Act, R.S.C. 1985, c. I-15, s. 6: where mortgage principal and interest are payable in blended payments, no interest is chargeable or recoverable unless the mortgage states the principal and the rate "calculated yearly or half-yearly, not in advance". Justice Laws Website, read 2026-08-31; last amended 2008-06-18. https://laws-lois.justice.gc.ca/eng/acts/I-15/section-6.html
  • The gross and total debt service ceilings are mortgage-insurer and lender underwriting standards published by CMHC. They are not set by statute or regulation, canada.ca does not respond to automated requests, and they were NOT verified against a primary source in this build. They are user inputs.
  • The minimum qualifying rate convention comes from OSFI Guideline B-20, supervisory guidance for federally regulated financial institutions rather than law. It was NOT verified in this build and is a user input.
  • The loan-to-value level above which mortgage default insurance is required, and the tiered minimum down payment, sit in National Housing Act mortgage insurance policy rather than in statute. Neither was verified in this build.

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