Credit Card Payoff Calculator
Your minimum payment shrinks as the balance falls, which is why paying it clears the card so slowly. This models that properly and shows the same comparison your statement is legally required to print.
Your issuer’s minimum payment rule — it is stated in your cardholder agreement, and the two common rules give very different answers.
| If you pay | Monthly | Clear in | Total cost |
|---|---|---|---|
| Only the minimum | $145.00 falling | 19 yr 4 mo | $13,414 |
| To clear in 3 years | $193.03 | 3 years | $6,949 |
| Your payment | $250.00 | 2 yr 2 mo | $6,350 |
Paying only the minimum takes 19 yr 4 mo because the payment shrinks with the balance. The first payment is $145.00, of which $95.00 is interest — so only $50.00 comes off what you owe.
Figures assume no new spending and no fees, the same assumption Regulation Z sets for the box on your statement. Paying several cards at once? Use the debt payoff calculator to compare the avalanche and snowball orderings.
About the Credit Card Payoff Calculator
There is a box on every US credit card statement that most people never read. It tells you how many years you will be paying if you only ever send the minimum, and what you would have to pay instead to be clear in three years. Card issuers are required to print it by the Credit CARD Act of 2009, and the figures in it are usually startling. This calculator is that box, made interactive, with your own balance and rate. What makes credit cards different from every other debt is that the minimum payment is not a fixed amount. It is a formula tied to your balance, so as the balance falls the minimum falls with it, and the payoff stretches out. Almost every other calculator on the web quietly assumes you pay the same amount every month, which is not how a minimum works and produces an answer that is far too optimistic. This one models the decline properly, and it lets you pick which of the two minimum payment rules your issuer actually uses, because the difference between them can be sixty years on the same card.
Mathematical Formula & Logic
Step-by-Step Example
A $5,000 balance at 22.8% APR, which is close to the US average, with a $25 minimum floor. Step 1 - the monthly interest 5,000 x 0.228 / 12 = $95.00 a month. This is the number every payment is measured against. Anything at or below $95 never clears the card. Step 2 - the minimum under Rule A (1% plus interest) First payment: 1% of 5,000 + 95.00 = 50.00 + 95.00 = $145.00. Of that, $95.00 is interest and only $50.00 comes off the balance. The balance falls 1% a month, so the card clears in 232 months - 19 years and 4 months - and costs $13,414 in total. You will have paid $8,414 in interest on a $5,000 balance. Step 3 - the minimum under Rule B (flat 2% of the balance) First payment: 2% of (5,000 + 95.00) = $101.90. The payment is smaller, which sounds better, but $95.00 of it is interest. Only $6.90 comes off the balance. At that rate the card takes 1,161 months - 96 years - and costs $59,301. The same balance, the same APR, the same 'minimum payment'. The rule your issuer uses changes the answer by more than three quarters of a century. This is why the rule selector is the first thing to check against your cardholder agreement. Step 4 - the three-year figure from your statement P = 5,000 x 0.019 / (1 - 1.019^-36) = $193.03 a month. Total cost: $6,949. Against the Rule A minimum, paying an extra $48 a month saves $6,465 and sixteen years. Step 5 - a round number instead Paying a flat $250 a month clears the card in 26 months at a total cost of $6,350. That is $57 more a month than the three-year figure and it saves a further $599 and ten months. The pattern is the same every time: because the minimum falls as the balance falls, holding your payment flat is by far the most powerful thing you can do. You are not paying more, you are simply refusing to pay less.
Reference Data & Values
| rule name | formula | applicability |
|---|---|---|
| Minimum: percent of balance + interest | payment = max(floor, p x B + i) | The common rule at large US issuers, typically 1% plus interest and fees. Principal falls by the full percentage every month regardless of APR, so a $5,000 balance at 1% clears in roughly 19 years rather than a lifetime. |
| Minimum: flat percent of the balance | payment = max(floor, p x (B + i)) | The simpler, older rule, typically 2-3% of the statement balance. Principal falls by only (p - monthly rate), so on a high-APR card the balance barely moves. Check your cardholder agreement before assuming which one applies to you. |
| Monthly interest | i = B x (APR / 100) / 12 | Charged on the balance carried into the month. Card issuers normally compute this daily on the average daily balance, which differs by a few cents a month; the annual difference is small enough not to change any decision. |
| Three-year payment (CARD Act box) | P = B x r / (1 - (1 + r)^-36) | The figure Regulation Z requires on your statement. It assumes no new spending and no fees, and it is calculated on your current balance only. |
| Minimum viable payment | payment > B x r | Below this the balance grows every month no matter how long you pay. Any calculator that returns a payoff date beneath this line is misleading you. |