What APR means on a credit card
The APR is the yearly interest rate on the balance you carry. Card issuers don't charge it once a year. The CFPB explains that many issuers use a daily periodic rate: the APR divided by 365 (or 360), applied to what you owe at the end of each day.
How the interest charge is calculated
Average daily balance = (sum of each day's balance) ÷ days in the cycle
Interest = daily periodic rate × average daily balance × days in the cycle
The CFPB adds that this interest is added to your balance, so it compounds. The result also shows the slightly higher figure you'd get if interest compounds every day.
Worked example
A $3,000 balance at 24% APR over a 30-day cycle: the daily rate is 24% ÷ 365 = 0.065753%. Interest = 0.00065753 × 3,000 × 30 = $59.18.
Now pay $1,000 on day 11 and make a $500 purchase on day 16. The balance is $3,000 for 10 days, $2,000 for 5 days and $2,500 for 15 days, so the average daily balance is $2,583.33 and the interest falls to $50.96. Paying earlier in the cycle cuts the interest, even when the total paid is the same.
Interest on purchases and the grace period
According to the CFPB, you may not be charged interest on purchases if you pay your balance in full by the due date. Issuers must get your bill to you at least 21 days before the payment is due. If you carry a balance, you lose that grace period, and new purchases start costing interest from the day you make them. Cash advances usually have no grace period. This calculator assumes you're carrying a balance.
The minimum-payment trap
The result also shows how long the balance takes to clear if you pay only the minimum. Here the minimum is 1% of the balance plus that month's interest, or $25, whichever is greater. That rule varies by issuer, so you can change it. Because the minimum shrinks with the balance, it can take many years. On $5,000 at 22%, it takes 18 years 11 months.
The Credit CARD Act made this visible: under Regulation Z, your statement must carry a "Minimum Payment Warning", say how long paying only the minimum would take and what it would cost, and show the monthly payment that clears the balance in 36 months. This calculator shows the 36-month payment too.
Limitations
- Issuers differ on details: some use APR ÷ 360, some compound daily, and cards with several APRs (cash advance, balance transfer) apply payments in set ways.
- Fees and promotional rates aren't included.
- To plan a payoff by a set payment or date, use the credit card payoff calculator.