The minimum payment on a credit card is a small percentage of the balance, recalculated every month. That single design detail is why minimum payments take decades: as the balance falls, so does the payment, so the debt is never attacked with a fixed amount. Enter a balance and a rate to see how long it takes — and what happens when the minimum cannot even cover the interest.
Someone has looked at the minimum payment on their statement, worked out that it is affordable, and wants to know how long it will actually take to be rid of the balance. The answer is usually decades, and often the balance never clears.
A minimum payment is a percentage of what you owe, recalculated every month. That sounds harmless. It is not, because it means the payment falls as the balance falls. The debt is never attacked with a fixed amount of money, so progress slows down exactly when it should be speeding up.
Take $5,000 at 22%. The monthly interest is $91.67 and the minimum is 2% of the balance, which is $100. So $91.67 of the payment goes to interest and only $8.33 reduces the debt. Next month the balance is slightly lower, so the minimum is slightly lower too — and the slice going to interest barely changes. The result is 970 months: over eighty years to clear a $5,000 balance, with $43,419 of interest paid along the way.
The mechanism is worth stating plainly because it is counter-intuitive: the minimum payment is not designed to repay the balance. It is designed to keep the account current and to collect interest indefinitely. A borrower who pays exactly the minimum is doing what they were asked and still making almost no progress.
Because the payment is a share of what is owed, a card whose minimum only just covers the interest can stay alive indefinitely. $3,000 at 24.99% asks for $60 a month against $62.48 of interest. Nothing about that account is unusual — 25% APRs are ordinary and issuers set the percentage to roughly track the interest at their typical rate. The margin between "just barely repaying" and "quietly enlarging itself" is thin, and a couple of points of APR crosses it.
The distinction worth holding on to is between slow and impossible. A card can be on a decades-long path to zero, or it can be on a path that never reaches zero, and the statement looks similar either way. Only the arithmetic separates them, and only if someone does it.
This is a property of percentage-based minimums rather than of credit cards as such. Any balance repaid as a share of itself behaves this way, at any rate.
The remedy follows directly from the mechanism: stop paying a share of the balance and start paying an amount that stays put. Holding the payment steady at the first month's minimum is enough on its own to change the outcome completely, and it costs nothing extra in month one.
The order that works when there are several cards: keep every account current, then send whatever is spare to the one with the highest rate. Removing the most expensive interest first is what makes the remaining payments do more work.
The arithmetic of a fixed payment is worked through on the debt payoff page rather than repeated here, since that is the calculation it is actually about.
The answer depends heavily on the minimum-payment floor — the smallest amount the issuer will accept. With a $25 floor, $10,000 at 22% clears in 1,385 months. With no floor, the same balance takes 8,698 months. A factor of six, from an input that never appears on a statement as a decision anyone made.
The floor is exposed as an input above rather than buried, precisely because of that. If you do not know your issuer's floor, $25 is the common US figure and $35 is also common; try both. If you do not know your minimum percentage, 1% is common on the largest issuers and 2% to 3% elsewhere.
Two further assumptions: the rate never changes (a variable APR will), and you never miss a payment or add a new charge. A missed payment usually triggers a penalty APR well above the headline rate, which can push the minimum below the monthly interest and turn a slow repayment into no repayment at all.
payment = max(balance × minPct, floor) balance ← balance × (1 + APR ÷ 12) − payment
The important part is what is NOT in the formula: there is no fixed payment anywhere. Each month's payment is derived from that month's balance, so the payment shrinks exactly as the debt does. A fixed payment of the same size at the start would clear the balance in a fraction of the time — that comparison is Example 3.
A $5,000 balance at 22% with a 2% minimum and a $25 floor. The first payment is $100, of which $91.67 is interest. The balance clears after 970 months — just over 80 years — and the interest paid comes to $43,419.49 against a total outlay of $48,419.49. The interest is nearly nine times the original balance.
The identical $5,000 at the identical 22%, still paying 2% — but with no floor, so the payment is allowed to keep shrinking toward zero. The payoff moves from 970 months to 8,283 months, which is 690.3 years, and the interest rises to $54,999.94 against a total paid of $59,999.94. Nothing about the debt changed. The floor was doing almost all of the work.
Same $5,000, same 22%, but paying a flat $200 every month rather than 2% of a falling balance. The debt is gone in 34 months against 970, and the interest comes to $1,800 on a total of $6,800. The first payment here is larger than the minimum in Example 1 — but the decisive difference is that it does not shrink afterwards.
Far longer than most people expect — decades for a typical balance at a typical rate. $5,000 at 22% with a 2% minimum takes 970 months, just over 80 years, and costs $43,419 in interest. The reason is that the minimum is a percentage of the balance, so it shrinks as the balance falls and the debt is never repaid at a fixed rate.
Yes. If the minimum is smaller than the interest charged that month, the balance grows and there is no payoff date. $3,000 at 24.99% with a 2% minimum pays $60 against $62.48 of interest, so the debt increases every month. This is common at higher APRs and is the single most important thing to check on a statement.
A fixed amount, held steady. Taking the first minimum and keeping it constant turns $5,000 at 22% from 970 months into 34 and cuts the interest from $43,419 to $1,800. If you have several cards, pay the minimum on all of them to stay current and put everything spare against the highest-rate balance.
Because it is calculated as a percentage of the outstanding balance, which falls as you pay. The payment is designed to keep the account current and to collect interest, not to amortise the debt. That is why a percentage minimum takes decades while a fixed payment of the same initial size clears the balance in a few years.