How to use this calculator
- Enter your Card balance and the Card APR shown on your statement.
- Set the Minimum payment as the share of the balance your issuer requires (often shown in the card terms).
- Add the Minimum payment floor, the smallest dollar amount the issuer will ask for.
- Compare Time to pay off and Total interest with the result for keeping the first minimum payment fixed.
How minimum payments work
Issuers usually set the minimum as a percentage of the balance, or as a dollar floor, whichever is larger. Because the percentage applies to a shrinking balance, the required payment falls every month. Falling payments mean slower progress, which is why minimum-only repayment takes so long.
B₍t+1₎ = B₍t₎ · (1 + r) − max(F, p · B₍t₎ · (1 + r))- B = card balance at month t
- r = monthly rate (APR ÷ 12 ÷ 100)
- p = minimum payment percentage (as a decimal)
- F = minimum payment floor in dollars
The calculator repeats this month by month: add one month of interest at the APR divided by 12, then subtract the larger of the floor or the percentage of the new balance, until nothing is left.
Example: $5,000 at 22% APR, 3% minimum
With the defaults (3% of the balance, $25 floor), the first minimum payment is $152.75. If you only ever pay the minimum, the card takes 198 months (16.5 years) to clear and you pay $6,718 in interest, more than the original balance.
Now keep paying the first minimum of $152.75 every month instead of letting it fall. The card is cleared in 52 months and interest drops to $2,798. Same starting payment, but a much cheaper outcome.
What moves the numbers
A lower minimum percentage is worse, not better. At 2% the same card takes 817 months (over 68 years) and costs $35,958 in interest. A lower APR of 15% instead of 22% brings minimum-only repayment down to 143 months and $3,165 interest.
A smaller balance helps too: starting from $2,500 at 22%, minimum-only payoff is 142 months with $2,967 interest. Note that the time does not halve with the balance, because the declining minimum keeps stretching the tail.
How to use the result
Treat the minimum as the lender's number, not a plan. Pick a fixed monthly amount you can afford and run it through the credit card payoff calculator to see the date you are debt-free. If you carry several cards, the debt payoff calculator compares avalanche and snowball strategies.
If the APR is the problem, a lower-rate transfer or consolidation loan may help; test it with the balance transfer calculator before applying.
Common mistakes
- Paying the minimum while still adding new purchases, so the balance never falls.
- Ignoring that a lower required minimum next month does not mean you should lower what you pay.
- Missing a payment: late fees and penalty APRs can make the balance grow faster than this model shows.
- Assuming the floor never applies; on small balances it sets the payment.
Assumptions and limits
The model uses a single fixed APR, no new purchases, no fees, and interest added monthly on the whole balance. Real cards compute interest daily on the average daily balance, may have grace periods, promotional rates or penalty rates, and often include interest and fees in the minimum formula.
If the minimum does not even cover monthly interest, the balance cannot fall and the calculator warns you. For exact terms, read your card agreement or call the issuer.
Frequently asked questions
How long does it take to pay off a credit card with minimum payments?
It can take many years. On a $5,000 balance at 22% with a 3% minimum, it takes about 198 months. Your own result depends on the balance, APR and minimum formula.
How is the minimum credit card payment calculated?
Usually a percentage of the balance (sometimes plus that month's interest and fees) or a fixed dollar floor, whichever is higher. Your card agreement states the exact formula.
Does paying only the minimum hurt my credit?
On-time minimum payments avoid late marks, but a high balance relative to the limit can lower your score. The main harm is the interest cost.
Why does the minimum payment go down each month?
Because it is a percentage of a balance that is falling. Keeping your payment at the first month's amount clears the debt much faster.