Learn Index · Financial Literacy and Consumer Mathematics Grade 11–12

Mortgages

A loan used to buy a home, repaid over many years.

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Buying a home with a loan

A mortgage is a loan to buy property. The home serves as security: if payments aren’t made, the lender can take it.

Key terms

Term Meaning
Down payment the part of the price you pay upfront
Principal the amount borrowed
Amortization period total time to repay, commonly 25 years
Term length of the current contract (often 5 years); then you renew
Fixed rate the rate stays the same for the term
Variable rate the rate moves with the lender’s prime rate

Down payments in Canada

Canada has minimum down payment rules, and if you put down less than 20%, you need mortgage default insurance (from CMHC or a private insurer). The insurance premium is added to the mortgage. Rules change from time to time, so check current requirements.

Example: A $500,000 home with a 10% down payment.

  • Down payment: $50,000
  • Mortgage: $450,000 (plus insurance premium)

Monthly payments

Mortgage payments use the loan payment formula. Canadian fixed-rate mortgages compound semi-annually by law, which slightly changes the monthly rate. Online calculators handle this.

Approximate example: $400,000 at 5% over 25 years ≈ $2,326/month.

How much interest?

Over 25 years at about $2,326/month: total paid ≈ $698,000. Interest ≈ $298,000, nearly 75% of the original loan!

Ways to pay less interest

Strategy Effect
larger down payment smaller loan
shorter amortization higher payments, much less interest
accelerated biweekly payments adds about one extra monthly payment per year
lump-sum prepayments reduces principal directly
lower rate shop around and negotiate

Example: $400,000 at 5%: 25-year amortization ≈ $2,326/month; 20-year ≈ $2,629/month, saving tens of thousands in interest.

Affordability guidelines

Lenders check that housing costs aren’t too high a share of income, and they run a "stress test" at a higher rate to make sure you could still pay if rates rise.

Extra costs of owning

Property tax, home insurance, utilities, maintenance (often estimated at 1–3% of the home’s value per year), condo fees, land transfer tax and legal fees.

Worked examples

Example 1: $650,000 home, 20% down. Mortgage amount? $520,000 (no default insurance needed).

Example 2: Payments of $2,000/month for 25 years on a $340,000 loan. Total interest? 600,000 − 340,000 = $260,000.

Example 3: Fixed or variable if you want predictable payments? Fixed rate.

Common mistakes

  • Confusing the term with the amortization period.
  • Forgetting the extra costs of owning.
  • Stretching to the maximum mortgage a lender approves.

Try it yourself

  1. A $350,000 home with 5% down. Down payment?
  2. Is default insurance needed on a 15% down payment?
  3. $1,800/month for 25 years on a $300,000 mortgage. Total interest?
  4. Name one way to reduce mortgage interest.

Answers: 1) $17,500 2) yes (under 20%) 3) $240,000 4) e.g. larger down payment, shorter amortization, extra payments

Quick recap

  • A mortgage finances a home; the down payment is upfront.
  • The amortization period is the full payoff time; the term is the contract length.
  • Choose fixed rate or variable rate; reduce interest with bigger or faster payments.