How Do You Calculate APR for Credit Card

What is APR?

The Annual Percentage Rate (APR) is the yearly cost of borrowing expressed as a percentage. It's calculated based on the interest charged on your credit card balance over a 12-month period. APR is used to compare the cost of credit across different financial products, including credit cards, loans, and mortgages.

APR is different from the interest rate on your credit card statement. The interest rate is typically a variable or fixed rate that applies to your current balance, while APR accounts for all interest charges and fees over a 12-month period.

How to Calculate APR

Calculating APR involves several steps, including determining the average daily balance, applying the interest rate, and accounting for any fees. Here's a step-by-step breakdown:

Step 1: Determine the Average Daily Balance

The first step in calculating APR is to determine your average daily balance. This is typically calculated by adding up your daily balances for the billing period and dividing by the number of days in the billing cycle.

Step 2: Apply the Interest Rate

Once you have the average daily balance, multiply it by the daily interest rate to find the total interest for the billing period. The daily interest rate is calculated by dividing the annual percentage rate by 365 (or 366 for a leap year).

Step 3: Account for Fees

Add any annual fees to the total interest to get the total cost of credit for the year. This includes annual fees, late payment fees, and any other fees charged by the credit card issuer.

Step 4: Calculate the APR

Finally, divide the total cost of credit by the average daily balance and multiply by 100 to get the APR. This formula is expressed as:

Where:

• Total Cost of Credit = Total interest + Annual fees
• Average Daily Balance = Sum of daily balances / Number of days in billing cycle

APR vs. APY

APR and Annual Percentage Yield (APY) are often confused, but they represent different things. APR is the simple interest rate, while APY includes the effect of compounding interest. APY is always higher than APR because it accounts for the additional interest earned from compounding.

For example, if you have a credit card with an APR of 20%, the APY would be higher because the interest is compounded. The exact APY depends on how often the interest is compounded, which is typically daily for credit cards.

Example Calculation

Let's walk through an example to illustrate how to calculate APR. Suppose you have a credit card with the following details:

• Annual interest rate: 20%
• Average daily balance: $1,500
• Annual fee: $50

Step 1: Calculate Daily Interest Rate

First, convert the annual interest rate to a daily rate:

Step 3: Calculate Total Interest

Multiply the average daily balance by the daily interest rate and then by 365 to get the total interest for the year:

Step 4: Add Annual Fees

Add the annual fee to the total interest to get the total cost of credit:

Step 5: Calculate APR

Finally, divide the total cost of credit by the average daily balance and multiply by 100 to get the APR:

In this example, the APR is approximately 21.61%, which is slightly higher than the stated annual interest rate due to the annual fee.