Mortgage Calculator Canada

Canadian mortgage payments with correct compounding: semi-annual (j2) for fixed rates, monthly for most variable rates, across monthly, semi-monthly, bi-weekly and weekly schedules.

Why Canadian fixed rates compound semi-annually

A Canadian fixed mortgage rate is quoted as a nominal rate compounded twice a year. A 5.00% fixed rate does not add 5.00% divided by 12 each month. It adds 2.50% every six months, and the monthly rate is derived from that six month growth. This convention comes from the Interest Act, which requires mortgage interest to be expressed on a basis that can be stated as an annual rate with compounding no more frequent than semi-annual unless the contract clearly states otherwise. Lenders, brokers and the courts have worked on that semi-annual basis for fixed rates ever since, so every fixed-rate quote you compare in Canada sits on the same footing.

The practical effect is that a Canadian fixed rate is slightly cheaper than the same number compounded monthly. Interest that compounds twice a year grows more slowly than interest that compounds twelve times a year, because interest starts earning interest less often. Variable rates are the exception readers most often meet: most Canadian variable-rate mortgages compound monthly, which is why this calculator lets you switch the convention. Always match the compounding basis to the quote in front of you. Comparing a fixed j2 quote against a variable monthly quote without converting both to payments is how borrowers talk themselves into the wrong product.

Once the compounding basis is set, the payment follows the standard amortization formula, just with a periodic rate that matches your payment frequency. The calculator converts the quoted rate to your chosen period, builds the full schedule period by period, and reports the payment per period alongside its monthly equivalent so schedules remain easy to compare.

From a j2 Quote to a Payment: The Formulas

Here j2 is the quoted nominal percentage (5.00 for a 5.00% rate), p is payments per year (12 monthly, 24 semi-monthly, 26 bi-weekly, 52 weekly), n is amortization years times p, and i is the interest rate for one payment period. For monthly payments the periodic rate simplifies to the monthly equivalent rate, (1 + j2/2) to the power 1/6, minus 1. The payment formula then spreads principal and interest evenly across all n payments.

i = (1 + j2/200)^(2/p) - 1; Payment = Loan x i / (1 - (1+i)^-n); Monthly equivalent rate = (1 + j2/2)^(1/6) - 1
j2Quoted nominal rate, compounded semi-annually
pPayments per year: 12, 24, 26 or 52
iInterest rate per payment period
nTotal payments, years times p

Worked Example: $500,000 at a Hypothetical 5.00% j2 Over 25 Years

A $500,000 mortgage (for example a $625,000 home with $125,000 down) at a hypothetical 5.00% fixed rate, compounded semi-annually, amortized over 25 years. The rate is hypothetical and used only to show the math. Every figure below was checked with the closed-form payment formula.

1
Monthly equivalent rate
The six month growth of 2.50% spread evenly across six months.
(1 + 0.05/2)^(1/6) - 1 = 0.4124% per month
2
Monthly payment
Payment equals $500,000 times 0.004124, divided by 1 minus (1.004124) to the power of negative 300. Cross-check: the same payment comes from the standard monthly formula using that monthly equivalent rate directly.
$2,908.02 per month
3
Total of 300 monthly payments
$2,908.02 times 300 payments, rounded to the nearest dollar.
$872,407
4
Total interest, monthly schedule
Total of payments minus the $500,000 principal.
$372,407
5
Same loan, quoted with monthly compounding
A hypothetical 5.00% rate compounded monthly instead. The compounding basis alone adds $14.93 a month in this example.
$2,922.95 per month, $376,885 interest

Payment Frequency in the Worked Example

All four rows below repay the same hypothetical $500,000 loan at 5.00% j2 over 25 years. Regular schedules are sized to finish exactly at 25 years. Read the monthly equivalent column to compare cash flow, and the total interest column to compare cost.

FrequencyPaymentMonthly equivalentTotal interest
Monthly (12 per year)$2,908.02$2,908.02$372,407
Semi-monthly (24 per year)$1,452.52$2,905.03$371,510
Bi-weekly, regular (26 per year)$1,340.68$2,904.80$371,441
Weekly, regular (52 per year)$670.02$2,903.42$371,027

Splitting the same amortization into more payments saves a little interest, because principal comes down a few days sooner each cycle. The saving from monthly to weekly in this example is about $1,380 over 25 years. That is real, but small.

Accelerated bi-weekly is a different product. Instead of the regular bi-weekly amount, you pay half the monthly payment, $1,454.01 in this example, every two weeks. Twenty-six half payments equal thirteen monthly payments a year, so one full extra monthly payment lands on principal annually. Run that schedule on the worked example loan and it ends in about 21.5 years (559 bi-weekly payments) with about $311,972 in interest, roughly $60,435 less than the monthly schedule. The saving comes from paying more each year, not from the two week timing. If cash flow allows it, accelerated payments are one of the simplest term shortcuts a borrower controls directly. Confirm the accelerated amount and any prepayment limits with your lender before you rely on them.

Every rate in this section is hypothetical. Run the calculator above with your own quoted rate and amortization to get figures for your loan.

How to Use This Calculator Well

Enter the price and down payment to set the mortgage amount, then enter the rate exactly as quoted and pick the compounding that matches that quote: semi-annual for a typical fixed rate, monthly for a typical variable rate. Choose your payment frequency and amortization, then read the payment per period together with the monthly equivalent. Two offers can only be compared fairly on the same basis, so convert both to monthly equivalents and total interest before you judge either one.

Remember what this view leaves out. Principal and interest is only part of carrying a home. Property tax, insurance, heating and condo fees decide whether the home fits your budget and whether you pass lender affordability tests. Once you have a payment you like here, carry the same price, down payment and rate into the Canada affordability calculator, which applies the stress test and the GDS and TDS limits. If you are comparing against a US-style quote, use the general mortgage calculator as well, and compare payments rather than quoted percentages.

Frequently Asked Questions

Why does a Canadian 5.00% mortgage cost less per month than a US 5.00% mortgage?
Because the quoted 5.00% means different compounding. In the worked example on a $500,000 loan over 25 years, Canadian j2 compounding gives a monthly payment of $2,908.02, while 5.00% compounded monthly gives $2,922.95. The $14.93 monthly gap comes only from how often interest compounds, not from a lower rate. All rates here are hypothetical and used to show the method.
What does j2 mean on a Canadian fixed mortgage rate?
j2 means the rate is a nominal annual rate compounded twice a year, once every six months. A 5.00% j2 rate grows by 2.50% every six months. The monthly rate that matches it is (1 + 0.05/2) to the power 1/6, minus 1, which is about 0.4124% per month. This calculator applies that conversion before it builds your payment.
Should I pick monthly compounding or semi-annual compounding?
Match the quote you were given. Fixed-rate mortgages in Canada are normally quoted on the semi-annual (j2) basis, so choose Canadian semi-annual. Most variable-rate mortgages convert with monthly compounding, so choose monthly if your lender confirms that basis. If you are unsure, ask the lender which compounding the quoted rate uses, because the same percentage produces different payments under each basis.
What is the difference between regular bi-weekly and accelerated bi-weekly?
A regular bi-weekly payment is sized so 26 payments a year repay the loan over the full amortization, which is $1,340.68 per payment in the worked example. An accelerated bi-weekly payment is simply half the monthly payment, $1,454.01 in the same example, paid every two weeks. That extra amount each year goes to principal, so the worked example loan would finish in about 21.5 years instead of 25 and pay about $311,972 in interest instead of $372,407. Your lender sets which options it offers, so confirm the exact accelerated amount in writing.
Does paying weekly save much interest?
On its own, only a little, because a regular weekly payment is just the amortization split into 52 smaller payments. In the worked example, weekly payments of $670.02 save about $1,380 in interest versus monthly payments over 25 years. The larger savings borrowers talk about usually come from accelerated schedules, where you pay the equivalent of one extra monthly payment each year, not from the weekly timing alone.
Are property tax, insurance and condo fees included in this payment?
No. This calculator shows principal and interest only, so you can compare rates and frequencies cleanly. Your full carrying cost also includes property tax, home insurance, heating and any condo fees. The Canada affordability calculator on this site adds those costs and tests them against the GDS and TDS limits at the qualifying rate.
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Frequently Asked Questions

How accurate is the Mortgage Calculator?
The calculator applies the displayed formula to the values you enter. Rounding and assumptions can affect the result, so verify it against an authoritative source before using it for an official or legal purpose.
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Sources & Citations

  • Standard Mathematical Algorithms - IEEE Computation Standards
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  • General Mathematical Verification - National Institute of Standards and Technology (NIST)

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