Worked Examples and Checklists
Rewards credit card calculations: worked examples for Canadian households
Step-by-step formulas for cashback, points, caps, annual fees and the cost of carrying a balance, with illustrative Canadian budgets you can repeat with your own statements.
To compare any two rewards cards, you need four calculations: rewards in dollars by category (respecting caps), the value of points at the redemption you will use, the annual fee, and the interest or other fees the card will cost you. Net value = rewards − fee − other costs. This guide shows each formula once, with an illustrative Canadian household, and then links to the detailed worked examples in this section. None of the rates is an offer from an issuer; they are round numbers chosen to make the method visible.
The household used in these examples
| Category | Monthly | Yearly |
|---|---|---|
| Groceries | $800 | $9,600 |
| Gas and EV charging | $250 | $3,000 |
| Recurring bills (phone, internet, streaming) | $300 | $3,600 |
| Restaurants and food delivery | $200 | $2,400 |
| Everything else | $650 | $7,800 |
| Total | $2,200 | $26,400 |
Get your own figures from three months of statements, multiplied by four. Exclude rent or mortgage payments, tax payments and anything you cannot or would not put on a card.
Formula 1: cashback by category
Rewards = Σ (yearly spending in category × earn rate in that category)
Example. A card pays 4% on groceries, 2% on gas and recurring bills, 1% on everything else.
- groceries: $9,600 × 4% = $384
- gas and bills: $6,600 × 2% = $132
- other (restaurants + everything else): $10,200 × 1% = $102
- total $618
Formula 2: applying a cap
If the bonus rate stops at a cap, split the spending:
Rewards in category = min(spending, cap) × bonus rate + max(0, spending − cap) × base rate
Example. Same card, but the 4% applies only to the first $6,000 of grocery spending a year:
- $6,000 × 4% = $240; $3,600 × 1% = $36; groceries now $276, not $384
- total rewards $510
A cap of $6,000 a year costs this household $108 of rewards. Large families and people who buy for others should check caps first.
Formula 3: points to dollars
Dollar value = points earned × value per point
Example. A card earns 3 points per dollar on groceries and restaurants, 1 elsewhere:
- $12,000 × 3 = 36,000 points; $14,400 × 1 = 14,400 points; total 50,400 points
- at 1.0 cent: $504; at 0.7 cents: $352.80; at 1.5 cents: $756
Choose the value of the redemption you will actually use; the cents-per-point guide shows how to measure it.
Formula 4: net value after fees and interest
Net value = rewards − annual fee − foreign transaction fees − interest paid
Example. The $618 card has a $120 fee. The household spends $3,000 a year abroad, paying a 2.5% foreign transaction fee ($75), and carries a balance of about $1,500 for four months of the year at 20.99% (about $1,500 × 20.99% × 4 ÷ 12 ≈ $105).
Net value = $618 − $120 − $75 − $105 = $318
Paying in full and using a no-foreign-fee card for travel would raise it to $498. That is a bigger gain than switching to almost any other rewards card. Enter the numbers in the rewards value calculator.
Putting it into one table
| Card structure (illustrative) | Rewards | Fee | Net, paid in full | Net with $105 interest |
|---|---|---|---|---|
| Flat 1%, no fee | $264 | $0 | $264 | $159 |
| Flat 1.5%, no fee | $396 | $0 | $396 | $291 |
| 4/2/1% category card | $618 | $120 | $498 | $393 |
| 4/2/1% with $6,000 grocery cap | $510 | $120 | $390 | $285 |
| 3/1 points at 0.7 cents | $352.80 | $89 | $263.80 | $158.80 |
| 3/1 points at 1.5 cents | $756 | $89 | $667 | $562 |
Three things stand out. The value of a point changes the order completely. A cap can cut a card's lead in half. And interest of only $105 erases the difference between several of the options.
The detailed examples in this section
- How long minimum payments take
- A balance transfer, month by month
- Two rewards cards compared on one budget
- Welcome bonus and minimum spend math
- What a point is worth
- No-fee versus premium card scenarios
- Credit card application checklist
The calculators: rewards value vs annual fee, balance transfer, payoff plan and the checklist.
Common errors in these calculations
- Using the headline rate on all spending. Bonus rates apply to specific merchant categories only.
- Counting the welcome bonus every year. It is a one-time amount.
- Valuing points at the best case. Use the value you will realistically get.
- Forgetting the fee on additional cards.
- Leaving out interest. If you sometimes carry a balance, add a realistic interest figure.
Frequently asked questions
How precise do my spending figures need to be?
Round to the nearest $50 a month per category. The decision rarely depends on small differences; caps and point values matter far more.
Should I include spending I could move to the card?
Only if you would actually move it, for example bills you currently pay from your bank account, and only if there is no surcharge or convenience fee.
What interest rate should I assume?
The purchase rate shown in the card's information box, applied to the balance you realistically expect to carry.
Can I use these formulas for a business card?
The arithmetic is the same, but the legal protections and tax treatment can differ; see interchange fees and surcharges for the business-card note.
Sources
- Financial Consumer Agency of Canada — comparing credit cards and understanding costs
- Justice Laws Website — Financial Consumer Protection Framework Regulations: information box contents
- Office de la protection du consommateur — Quebec rules on credit card contracts
