How does the calculator model a minimum payment?
Each month the calculator works out the minimum as the larger of two figures: your minimum percentage times the current balance, or the dollar floor. It then adds a month of interest, at the APR divided by 12, and subtracts that minimum. The next month it recalculates the minimum on the new, slightly smaller balance, and so on until nothing is left.
That recalculation is the whole story. With a fixed loan payment, the amount you pay stays level while the interest charge falls, so principal reduction speeds up. With a percentage minimum, the payment falls almost as fast as the interest does, so principal reduction stays sluggish for years. Only when the percentage drops below the floor does the payment stop shrinking.
Real issuers use a range of formulas. Some charge a flat percentage, some take 1% of the balance plus that month's interest and fees, and the floor varies. This calculator uses the percentage-or-floor version, which captures the shape of the problem even if your statement figure differs by a few dollars.
Minimum = max(p × Balance, Floor) Interest = Balance × (APR ÷ 12) New balance = Balance + Interest − Minimum
- p
- minimum payment percentage, as a decimal
- Floor
- the smallest minimum the issuer accepts, in dollars
- APR
- card annual percentage rate, as a decimal
- Balance
- balance at the start of the month
Example: $4,800 at 21.49% APR on a 3% minimum
Scenario: Suppose your card shows a $4,800 balance, a 21.49% APR, and a minimum of 3% of the balance or $30, whichever is greater. You stop using the card and pay exactly the minimum each month. In this walkthrough the minimum is figured on the balance at the start of each month.
- First minimummax(3% × $4,800, $30) = max($144.00, $30) = $144.00
- First month's interest$4,800 × (21.49% ÷ 12) = $4,800 × 0.017908 = $85.96, so only $58.04 of the payment reduces the balance
- Second monthThe balance is now $4,741.96, so the minimum drops to $142.26
- After five years60 minimum payments totaling $6,169.50 leave $2,313.32 still owed, and the minimum has shrunk to $70.25
- Floor takes overIn month 130, 3% of the balance falls below $30, so payments stay at $30 from then on
- TotalPayoff takes 181 months (15 years 1 month); you pay $10,963.81 in all, of which $6,163.81 is interest
Paying only the minimum clears this $4,800 balance in 15 years 1 month and costs $6,163.81 in interest, more than the original balance.
Paying a steady $144.00, the first minimum, every month instead finishes in 52 months with $2,572.06 of interest; your issuer's exact formula may shift these figures slightly.
When should you run the minimum payment numbers?
You have been paying only the minimum
If the minimum has become your default, this shows the full cost of staying on that path. Seeing a payoff measured in years, not months, is often the push to set a higher fixed payment.
Your statement's warning box surprised you
Card statements include a minimum payment warning that estimates payoff time at the minimum. The calculator lets you test what happens with your own percentage and floor, and at other balances.
You are deciding what to pay this month
Comparing the minimum path with a fixed payment helps you see how much each extra dollar is worth. The first minimum payment result is a natural starting point for a fixed amount you never let fall.
You are comparing two cards' minimum terms
Issuers set different percentages and floors. Entering each card's terms shows which one stretches repayment out longer if money is tight and only the minimum gets paid.
What do people get wrong about minimum payments?
Treating the minimum as the bill
The minimum keeps the account in good standing; it is not a payoff plan. Paying it on time protects your credit history, but it leaves most of the balance in place for years.
Letting the payment fall with the minimum
When the required minimum drops, it feels like progress. Keeping your payment at the earlier, higher level is the simplest way to turn a decade-long payoff into a few years.
Using a minimum percentage that is too low for the APR
If the percentage is close to the monthly interest rate, the balance barely shrinks. At 21.49% APR, a 2% or $25 minimum takes 64 years 2 months to clear $4,800 in this model. Check your card agreement for the actual formula.
Forgetting about new purchases
On most cards, carrying a balance means new purchases accrue interest right away. Any spending added while you pay the minimum raises the next minimum and pushes the end date out further.
Missing a payment
A late payment can bring a fee, a penalty APR on some cards and a negative mark on your credit report. Setting up an automatic payment for at least the minimum protects against the worst of these while you pay more by hand.
How much does the minimum payment formula change the outcome?
Small differences in the formula produce huge differences in cost. A lower percentage feels gentler each month, but it pushes the balance down so slowly that interest has years to accumulate. A higher percentage, or simply a fixed payment, changes the picture completely.
The table runs the same $4,800 balance at 21.49% through three minimum formulas and two fixed payments. The 2% version is an extreme case: at this APR, 2% of the balance is only slightly above the monthly interest charge, which is why some issuers instead use a formula of 1% plus that month's interest, so the balance always falls.
| Payment approach | First payment | Time to pay off | Total interest |
|---|---|---|---|
| 2% of balance or $25, whichever is greater | $96.00 | 64 years 2 months | $32,324.58 |
| 3% of balance or $30, whichever is greater | $144.00 | 15 years 1 month | $6,163.81 |
| 4% of balance or $35, whichever is greater | $192.00 | 9 years 2 months | $3,477.43 |
| Fixed $144.00 every month | $144.00 | 4 years 4 months | $2,572.06 |
| Fixed $182.06 (36-month payoff) | $182.06 | 3 years | $1,753.63 |
What does the minimum payment warning on your statement tell you?
Federal rules under the Truth in Lending Act require card statements to include a minimum payment warning. It estimates how long it would take to pay off the current balance making only minimum payments, the total you would pay, and the monthly payment that would clear the balance in about three years, along with what that would cost.
Using this example, a three-year payoff would need roughly $182.06 a month and cost $1,753.63 in interest, compared with $6,163.81 on the minimum path. The statement figures use your issuer's own formula, so they are the best check on this calculator's estimate for your card.
Terms used on this page
- Minimum Payment
- The minimum payment is the smallest amount a credit card issuer or lender requires each billing cycle to keep the account in good standing. On cards it is often a small percentage of the balance plus interest, so paying only the minimum keeps you current but can stretch repayment over many years and multiply interest.
- APR (Annual Percentage Rate)
- APR is the yearly cost of borrowing expressed as a single percentage that includes the interest rate plus certain required fees, such as origination charges. Because lenders must calculate it the same way under federal Truth in Lending rules, APR lets you compare loan offers on an even footing.
- Grace Period
- A grace period is the window between the end of a credit card billing cycle and the payment due date during which no interest is charged on new purchases, as long as you paid the previous statement balance in full. Carry a balance, and you typically lose the grace period, so purchases start accruing interest right away.
- Credit Utilization
- Credit utilization is the share of your available revolving credit that you are currently using, shown as a percentage. It is calculated by dividing your card balances by your credit limits, both per card and across all cards. Lower utilization generally helps credit scores, and it is one of the factors you can change quickly.
Minimum Payment Calculator: common questions
How is a credit card minimum payment calculated?
Most issuers use either a flat percentage of the balance or a small percentage plus that month's interest and fees, with a dollar floor. Your card agreement spells out the exact method. This calculator uses the greater of a percentage of the balance or a dollar floor, which matches many cards closely and shows the same shrinking-payment pattern.
Why does my minimum payment go down every month?
Because it is tied to your balance. When the minimum is a percentage of what you owe, a smaller balance produces a smaller minimum. It looks like relief, but it means you are paying less toward the debt each month, which is exactly what stretches repayment over many years. Keeping your payment at the original, higher amount is one of the simplest ways to shorten the payoff.
Does paying only the minimum hurt my credit score?
Paying the minimum on time does not count against you in itself, and on-time payment history is one of the most important scoring factors. The indirect cost is that your balance stays high for longer, keeping your credit utilization elevated, which can hold your score down. Paying more than the minimum lowers the balance faster, which tends to help that utilization factor sooner.
What happens if I pay less than the minimum?
The payment is treated as late. You can be charged a late fee, some cards apply a penalty APR, and a payment 30 or more days past due can be reported to the credit bureaus. If you cannot cover the minimum, contacting the issuer before the due date about a hardship arrangement is usually better than paying short.
Can the minimum payment ever fail to cover the interest?
With a percentage-only formula and a high APR, it can come close. If the percentage is at or below the monthly rate, the balance barely falls or never falls. Many issuers avoid this by setting the minimum as interest plus a slice of principal, so this calculator's percentage model can look worse than your actual card.
How much faster is it to pay a fixed amount instead of the minimum?
Often years faster. In this page's example, paying the minimum on $4,800 at 21.49% takes 181 months, while holding the payment at the first minimum of $144.00 finishes in 52 months and saves $3,591.75. The same payment that felt affordable in month one stays affordable. The fixed payment works because it does not shrink as the balance falls.
Is the minimum payment the same on every credit card?
No. Issuers set their own percentage, floor and formula, and the same issuer can use different terms on different products. Check the card agreement or the payment information section of your statement. Entering each card's terms here shows how much the formula alone changes your payoff time. Some issuers also change the formula when a card is in a hardship program or after a promotion ends.
Does making only the minimum payment mean I pay interest on new purchases?
Usually yes. When you carry a balance from one month to the next, most cards remove the grace period, so new purchases start accruing interest from the day they post. You generally get the grace period back after paying the statement balance in full, often for one or two cycles, depending on the card.
Where do I find my minimum payment percentage?
Look in your card agreement under the section on payments, or check the issuer's online account terms. The statement shows the dollar amount due, not always the formula. If the formula includes interest and fees, enter a percentage that reproduces your current minimum as closely as possible for a reasonable estimate.
Sources
- Regulation Z (Truth in Lending), 12 CFR Part 1026 — Consumer Financial Protection Bureau. Accessed October 17, 2026.
- Credit cards — Consumer Financial Protection Bureau. Accessed October 17, 2026.
- Credit reports and scores — Consumer Financial Protection Bureau. Accessed October 17, 2026.
We cite primary sources: regulators, central-bank data and federal agencies. Worked examples on this page are our own calculations, last checked October 17, 2026. See our methodology.