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B3.7 · Make and justify an informed borrowing decision

Learn to make and justify an informed borrowing decision through clear examples and targeted practice.

Ontario Grade 11 Mathematics

Saving, Investing, and Borrowing

MEL3E • Specific expectation B3.7: Make and justify an informed borrowing decision

A borrowing decision is a choice about whether to use someone else’s money now and repay it later. Borrowing can help with a needed purchase, but repayment reduces the money available for other expenses. A low payment can look manageable while leading to a higher total cost over a longer period. An informed decision uses the actual terms, considers the budget, and explains why the choice makes sense. In this lesson, you will compare sample offers using the amounts each lender provides. You do not need a special financial formula: add the stated payments and fees, then compare the results.

What you will learn

Identify the information needed to compare borrowing choices.
Use a calculator or a simple table to compare repayment amounts and costs.
Decide whether a borrowing choice fits a budget and the need for the purchase.
Support a borrowing decision with clear reasons.

1. Start with the need and the budget

Before comparing offers, be clear about what the money is for. Is the purchase needed now, or could it wait while you save? Could a less costly option meet the same need? These questions matter because borrowing has a cost and creates a future payment commitment.

A budget is a plan for money coming in and money going out. To judge whether a payment is manageable, first list regular take-home income and regular expenses. Take-home income is the money left after deductions from pay. Include expenses such as food, transportation, phone service, and any payments you already owe. The amount left is not automatically free to spend: some may be needed for changing costs or emergencies.

A lender is a person or business that provides money or lets you pay later. A borrower is the person who receives the money and must repay it. The amount received is the amount borrowed. Interest is the charge for using borrowed money. Fees are other charges named in the agreement. The total repayment is the full amount the borrower will pay back, including the borrowed amount, interest, and any fees.

Ask whether the purchase is important and whether borrowing is necessary.
Check a payment against the budget, not just against the amount of one paycheque.
Use the total repayment, not only the advertised payment, to compare costs.

2. Read and compare the borrowing terms

A borrowing offer should state how much you receive, the payment amount, how often payments are due, how many payments there are, the interest rate, and any fees. The interest rate is the lender’s stated percentage charge for borrowing. A lower rate may reduce the cost, but the rate alone does not tell you the full amount you will repay. Different offers can have different fees, payment schedules, or lengths.

Use a calculator or spreadsheet to multiply the payment by the number of payments. Add any fee that is paid separately. If the lender gives a total repayment amount, check that it agrees with the payment details. Ask the lender to explain any amount or condition you do not understand. Do not assume that a fee is included unless the offer says so.

Compare offers for the same amount borrowed and the same purpose. If the amounts differ, the totals are not a fair direct comparison. Write down the payment schedule and total repayment for each choice. Also note whether a late payment has a charge or whether paying early changes the cost. These details can affect the decision, so confirm them in the written agreement.

\text{total repayment}

= (

\text{payment amount}

× number of payments) +

\text{separate fees}

Compare the same borrowing amount whenever possible.
Count all scheduled payments and include stated fees.
Ask questions before agreeing to unclear terms.

3. Decide what is manageable and worthwhile

A choice can have the lowest total cost and still be a poor fit if its payments do not fit the budget. A choice with smaller payments may feel easier each month, but it may require more payments and cost more overall. Consider both the regular payment and the full amount repaid.

Think about what could happen if income falls or an unexpected expense occurs. A payment that uses nearly all the money left after regular expenses leaves little room for change. If the budget is tight, waiting, saving, choosing a less costly item, or looking for a different offer may be safer than borrowing now.

To justify a decision, connect evidence to your choice. State which offer you would choose, or explain why you would not borrow. Give at least two relevant reasons, such as the total repayment, payment amount, fit with the budget, need for the purchase, or a term that requires clarification. A reasoned decision is not just “this one is cheaper”; it explains why the cost and commitment are acceptable for the borrower.

Weigh the payment schedule and total repayment together.
Leave room in the budget for regular needs and unexpected costs.
State a choice and support it with specific information from the offers.

4. Use a simple comparison record

A short comparison table can make the decision easier to explain. Enter the lender’s own figures, calculate the total repayment, and add a note about budget fit. Keep a copy of the written offer so you can check that the numbers match. A calculator helps with arithmetic, but it does not decide whether the borrowing is right for you.

The table below shows the kind of information to record. “Budget fit” is a judgement based on the borrower’s actual budget, not a feature the lender can decide for them. Do not rely on a verbal promise if a term is important; ask for it in writing.

Record the offer details before choosing.
Use a calculator or spreadsheet to reduce arithmetic errors.
The final decision should reflect both the numbers and the borrower’s situation.

A simple borrowing comparison

Offer	Amount borrowed	Payment schedule	Separate fees	Total repayment
A	Enter the amount	Enter payment and count	Enter stated fees	Calculate and record
B	Enter the amount	Enter payment and count	Enter stated fees	Calculate and record

Worked example

Example 1: Compare two offers for a work laptop

Mina needs a laptop for a training placement. Two lenders offer CAD 900. Offer A is 12 payments of CAD 86, with no separate fee. Offer B is 18 payments of CAD 60, with no separate fee. Mina’s budget can manage either payment, but she wants to keep the total cost as low as possible. Which offer has the lower total repayment, and how can she justify her choice?

Find Offer A’s total
Multiply the payment by the number of payments because Mina makes the same payment each time. There is no separate fee to add.
$12 \times 86 = 1{,}032$
Find Offer B’s total
Use the same calculation for Offer B. The smaller payment does not by itself mean the offer costs less.
$18 \times 60 = 1{,}080$
Compare the totals
Subtract the lower total from the higher total. Both offers provide the same amount, so their repayment totals can be compared directly.
$1{,}080 - 1{,}032 = 48$

Answer: Offer A has the lower total repayment: CAD 1,032 compared with CAD 1,080 for Offer B. Mina could choose Offer A because its total is CAD 48 lower and its payment fits her budget. She should still confirm the written terms, including whether any other charges apply.

Check: The totals repay more than CAD 900, the amount borrowed. Offer B has six more payments and a lower payment amount, but its total is CAD 48 higher.

Worked example

Example 2: Decide whether a repair loan fits a budget

Andre’s work vehicle needs a repair that costs CAD 720. A lender offers 10 monthly payments of CAD 82, plus a one-time CAD 25 fee paid separately. Andre has CAD 110 left each month after his regular expenses and current payments. Is the offer manageable based on the information given, and what should Andre consider before deciding?

Calculate the scheduled payments
Multiply the monthly payment by the number of months to find the amount paid through the scheduled payments.
$10 \times 82 = 820$
Include the separate fee
The fee is paid in addition to the scheduled payments, so add it to find the total repayment.
$820 + 25 = 845$
Check the monthly budget
Compare the payment with the money Andre says remains each month. This subtraction shows the amount left after the loan payment, before any new or unexpected costs.
$110 - 82 = 28$

Answer: The offer requires total repayment of CAD 845, which is CAD 125 more than the CAD 720 repair cost. The CAD 82 monthly payment leaves Andre with CAD 28 from the amount he currently has left each month. It may technically fit his stated budget, but it leaves little room for unexpected costs. He should check whether the repair is urgent, ask about all terms and fees, and consider whether he can find a less costly option or a more manageable offer before agreeing.

Check: The total includes the separate CAD 25 fee. The budget comparison uses the monthly payment, not the full repayment, because the budget amount is monthly.

Common mistakes and how to avoid them

Choosing the offer with the smallest payment without checking the number of payments.

Correction: Multiply the payment by the number of payments and include separate fees. Compare the resulting total repayments.

Treating the amount left after bills as fully available for a loan payment.

Correction: Allow room for changing expenses and unexpected costs. A payment that barely fits may be risky.

Comparing offers for different borrowing amounts as if they were equal.

Correction: Compare offers for the same amount and purpose, or clearly account for the difference before judging them.

Giving a choice without explaining why it fits the situation.

Correction: Use details from the offer and the budget to support the decision, and mention any terms that still need clarification.

Lesson summary

A borrowing decision starts with the need for the purchase and the borrower’s budget.
Calculate total repayment from the payment schedule and include stated separate fees.
Consider both the total cost and whether the payment leaves enough room in the budget.
Justify the decision with specific facts and check unclear written terms before agreeing.

Check your understanding

Question 1

A lender offers 8 payments of CAD 45 and a separate CAD 10 fee. What is the total repayment?

CAD 360
CAD 370
CAD 410
correctIndexА 1,

Show answer and explanation

CAD 370

The scheduled payments total CAD 360. Adding the separate CAD 10 fee gives total repayment of CAD 370.

Question 2

A borrower has CAD 95 left each month after regular expenses. A proposed payment is CAD 90. What is the strongest conclusion?

The loan is definitely a good choice because the payment is less than CAD 95.
The payment leaves only CAD 5, so the borrower should consider budget risk and other costs before deciding.
The loan must be rejected because any payment above CAD 5 is impossible.
correctIndexА 1,

Show answer and explanation

The payment leaves only CAD 5, so the borrower should consider budget risk and other costs before deciding.

The subtraction leaves CAD 5, which is very little room for unexpected costs. The borrower should consider the full situation rather than treating the payment as automatically acceptable.

Question 3

Two offers provide the same amount. Offer A has a total repayment of CAD 980 and Offer B has a total repayment of CAD 1,035. What extra information should still be checked before choosing?

Only the colour of the lender’s logo.
The payment schedule, budget fit, and any terms or fees not included in those totals.
Nothing; the lower total always makes Offer A suitable.
correctIndexА 1,

Show answer and explanation

The payment schedule, budget fit, and any terms or fees not included in those totals.

Offer A has the lower stated total, but the payment schedule and budget fit still matter. The borrower should also confirm that all charges and terms are included.

Key terms

Borrower: A person who receives money or pays later and must repay what is owed.
Lender: A person or business that provides money or lets someone pay later.
Interest: A charge for using borrowed money.
Fee: An additional charge named by the lender.
Total repayment: The full amount paid back, including the amount borrowed, interest, and fees.
Budget: A plan for money coming in and money going out.

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About this lesson

Published by DoAssignment. This AI-assisted lesson follows Ontario Grade 11 Mathematics (MEL3E), expectation B3.7. It is a study resource, not an official curriculum publication.

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