How credit card interest works
Card interest is a daily charge dressed up as an annual number. Your APR is divided by 365 to get a daily periodic rate, that rate is applied to your average daily balance every day, and the total lands on your statement once a month. Everything else — grace periods, minimum payments, residual interest — follows from that one mechanism. Every figure below is computed live from one worked example: $6,000 at 24.99%.
1. The daily rate is the real rate
24.99% ÷ 365 = 0.06847% per day. On $6,000 that is $4.11 every day, or $123.24 over a 30-day cycle. That per-day figure is the most useful number in card debt: it turns an abstract percentage into what today cost.
2. Each payment splits, and the split moves
A payment covers the cycle's interest first; the remainder reduces principal — the CFPB's amortization explainer describes exactly this. Paying $250.00 a month on our example, the first payment is $124.95 interest and $125.05 principal. By month 1 the split has flipped and most of your payment is finally principal. The final payment, month 34, is almost entirely principal — the whole schedule is just this split walking in one direction.
| Month | Interest | Principal | Balance after |
|---|---|---|---|
| 1 | $124.95 | $125.05 | $5,874.95 |
| 6 | $111.38 | $138.62 | $5,209.54 |
| 12 | $93.13 | $156.87 | $4,315.02 |
| 34 | $3.13 | $150.09 | $0.00 |
Total across the whole schedule: 34 payments, $2,403.22 of interest on $6,000 borrowed.
3. The monthly convention this site uses
Our engine accrues once a month at 24.99% ÷ 12 = 2.0825% and rounds to cents after every step. Issuers compound daily, which makes a real statement slightly worse than this convention shows — a few dollars over a typical payoff, never a different answer about how many months it takes. We disclose the approximation on every tool rather than implying statement-level precision we do not have.
4. The grace period is the escape hatch
Pay the statement balance in full by the due date and most cards charge no purchase interest at all. The corollary matters: carrying a balance does not help your credit. What helps is paying on time and keeping utilization low — and the utilization calculator computes that ratio without pretending to predict a score.
- Monthly interest accrualconvention — interest per month = balance x (APR / 12). Verified against CFPB — How does my credit card company calculate the amount of interest I owe? (issuers compound daily on the average daily balance, so a real statement can differ by a few dollars)
- Fixed-payment amortization — each month: interest = balance x APR/12; principal = payment - interest; closed form n = -ln(1 - rP/M) / ln(1+r). Verified against CFPB — How does paying down a mortgage work?
Frequently asked questions
How is credit card interest actually calculated?
What is a grace period?
Why did I get charged interest even though I paid?
Does paying twice a month reduce interest?
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