How Do I Calculate APR on Credit Card
Understanding your credit card's Annual Percentage Rate (APR) is crucial for managing your finances. APR represents the annual cost of borrowing, expressed as a percentage. This guide explains how to calculate APR, what it means, and how it compares to the Annual Percentage Yield (APY).
What is APR?
The Annual Percentage Rate (APR) is the yearly cost of borrowing expressed as a percentage. It includes both the interest rate and any additional fees associated with the loan or credit card. APR is used to compare different credit cards and loans, helping you understand the true cost of borrowing.
APR is calculated on the daily balance of your credit card account, not just the amount you spend. This means you'll pay interest on any outstanding balance, even if you only make the minimum payment.
How to Calculate APR
Calculating APR involves several steps, including determining the daily balance, interest charges, and any additional fees. Here's a step-by-step breakdown:
Step 1: Determine the Daily Balance
The daily balance is the average amount owed on your credit card each day during the billing cycle. It's calculated by adding the previous balance, any new purchases, and any cash advances, then subtracting any payments made during the cycle.
Step 2: Calculate the Daily Interest Charge
Multiply the daily balance by the daily interest rate (APR divided by 365) to find the daily interest charge.
Daily Interest Charge = Daily Balance × (APR ÷ 365)
Step 3: Sum the Daily Interest Charges
Add up all the daily interest charges for the billing cycle to find the total interest for the period.
Step 4: Calculate the Total Cost
Add the total interest to the original balance to find the total cost of borrowing.
Step 5: Calculate the APR
Divide the total interest by the original balance and multiply by 365 to find the APR.
APR = (Total Interest ÷ Original Balance) × 365
Note: This is a simplified calculation. Actual APR calculations may include additional fees and complex interest accrual methods.
APR vs. APY
APR and APY are often confused, but they represent different things. APR is the annual interest rate on a loan or credit card, while APY is the effective annual rate, which includes compounding interest.
| APR | APY |
|---|---|
| Annual Percentage Rate | Annual Percentage Yield |
| Includes only the interest rate | Includes compounding interest |
| Used for loans and credit cards | Used for savings accounts and investments |
For example, if a credit card has an APR of 18%, the APY might be higher because it accounts for compounding interest. This means you'll pay more in interest over time if you carry a balance.
Example Calculation
Let's walk through an example to see how APR is calculated. Suppose you have a credit card with an APR of 18% and a daily balance of $1,000.
Step 1: Calculate Daily Interest Rate
18% APR ÷ 365 days = 0.0049315% daily interest rate
Step 2: Calculate Daily Interest Charge
$1,000 × 0.0049315 = $4.93 daily interest charge
Step 3: Calculate Total Interest for 30 Days
$4.93 × 30 = $147.90 total interest for the month
Step 4: Calculate Total Cost
$1,000 (original balance) + $147.90 (interest) = $1,147.90 total cost
Step 5: Verify APR Calculation
($147.90 ÷ $1,000) × 365 ≈ 18% APR
This example shows how APR is calculated and why it's important to pay off your balance in full each month to avoid high interest charges.