# Credit Card Payoff Calculator — Time & Interest > See how long your credit card takes to pay off, what the interest costs, and how much the minimum-payment trap adds. Multi-currency, free. - **Category:** Finance & Money - **Interactive calculator:** https://youcalc.com/en/finance-money/credit-card-payoff/ - **Price:** Free, no sign-up required ## Overview This calculator focuses on a single credit card and answers either question: if you pay a fixed amount each month, how many months until the balance is gone and how much interest will you pay — or, if you want it cleared by a deadline, what monthly payment does that take? It then shows the minimum-payment trap: how long the same balance lasts, and how much more interest you pay, if you only ever send the percent-of-balance minimum. For ordering several cards or loans together (snowball or avalanche), use the Debt Payoff calculator instead. ## How to read your result The headline is your answer — either the number of months to clear the card, or the monthly payment a deadline requires. Below it sit the total interest, the total paid, the payoff date, and how much of your very first payment is swallowed by interest. Early on, most of each payment is interest and only a little chips away at the balance; as the balance falls, that flips. The red "minimum only" line on the chart shows the same debt if you pay just the minimum each month — usually many years and several times the interest. The gap between the two lines is what paying more than the minimum saves you. ## Method The monthly rate is r = APR / 12 / 100. To find how long a fixed payment P clears a balance B, the calculator uses the closed-form amortization (annuity) formula n = −ln(1 − r·B / P) / ln(1 + r), which only has a solution when P > r·B; otherwise the payment never covers the interest and the balance never amortizes, so the tool warns instead of returning a number. To find the payment needed to clear B in exactly n months it inverts the same formula: P = B·r / (1 − (1 + r)^−n). When r is zero both reduce to simple division (n = B / P and P = B / n). Total interest is the total paid minus the original balance. The minimum-only path is simulated month by month with a payment of max(minPercent% · balance, floor), capped at a hard backstop so a non-amortizing minimum is detected rather than looping forever. ## Example - **Setup:** A $5,000 balance at 20% APR, paying a fixed $150 every month. - **Result:** It takes 50 months to clear and costs about $2,359 in interest. Paying only the 2%-or-$25 minimum instead would take roughly 524 months and about $20,210 in interest — over $17,800 more. ## Frequently asked questions ### Why does paying only the minimum cost so much more? The minimum payment is usually a small percent of the balance (often 1–3%) with a low floor. As the balance falls, the minimum falls with it, so most of each payment goes to interest and the principal barely moves. That stretches a few-year payoff into decades and can multiply the interest several times over. Paying a fixed amount — even a modest one above the minimum — clears the balance far faster. ### What does "never amortizes" mean? Each month the card charges interest on the balance (roughly the APR divided by 12, times the balance). If your payment is less than or equal to that interest charge, the balance grows instead of shrinking and the card is never paid off. The calculator flags this instead of showing an impossible payoff date. The fix is simple: pay more than the monthly interest. ### How is the monthly interest calculated? The monthly rate is the APR divided by 12. Interest each month is that rate times the current balance, which is the average-daily-balance convention most issuers use. This calculator assumes a fixed APR, interest compounded monthly, no new purchases, and no fees, so treat the result as a clean baseline rather than an exact statement figure. ### Does this handle more than one card? No — this calculator is deliberately single-card so the payoff time, interest cost, and minimum-payment trap stay easy to read. To pay off several balances together and compare the snowball (smallest balance first) and avalanche (highest rate first) strategies, use the Debt Payoff calculator. ### Why might the payoff date differ slightly from my statement? Issuers round to local conventions, apply fees, post payments on specific cycle dates, and may use a daily periodic rate rather than a single monthly one. This tool models the clean monthly amortization, so a result a month or a few dollars off your statement is expected. Use it to compare scenarios, not to reconcile a bill to the cent. ## Related calculators - [Debt Payoff Calculator](https://youcalc.com/en/finance-money/debt-payoff/) - [Loan Calculator](https://youcalc.com/en/finance-money/loan/) - [Compound Interest Calculator](https://youcalc.com/en/finance-money/compound-interest/) - [Emergency Fund Calculator](https://youcalc.com/en/finance-money/emergency-fund/) ## Sources - https://www.consumerfinance.gov/ask-cfpb/a-box-on-my-credit-card-bill-says-that-i-will-pay-off-the-balance-in-three-years-if-i-pay-a-certain-amount-what-does-that-mean-do-i-have-to-pay-that-much-if-i-pay-that-much-and-make-new-purchases-will-i-still-owe-nothing-after-three-years-en-36/ - https://www.consumerfinance.gov/rules-policy/regulations/1026/m1/ - https://en.wikipedia.org/wiki/Amortization_calculator --- Interactive version: https://youcalc.com/en/finance-money/credit-card-payoff/ · From YouCalc — https://youcalc.com