Credit Card Payoff Calculator

FINANCIAL MATH

See how long it takes to clear a credit card balance and what the interest costs. Enter the balance, APR, and monthly payment.

Time to Pay Off
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At this fixed payment.

Usage Tip

Throw any extra at the highest-APR card first (the avalanche method) to minimize total interest. Avoid adding new charges while paying it down.

THE MATH
Months = −ln(1 − i × balance ÷ payment) ÷ ln(1 + i)
i = monthly rate (APR ÷ 12)
Credit cards charge interest monthly on the balance. If your payment only just exceeds the interest, almost nothing goes to principal.
Paying more than the minimum is the fastest way to cut the total cost.
The minimum payment is designed to stretch repayment over years and maximize interest.
Interest is charged on the full balance until it is paid, so even small extra payments help.
This assumes a fixed payment and no new charges added to the card.
Practical Notes

Paying only the minimum on a credit card balance can take many years and cost a large amount in interest, because most of each payment goes to interest at first. This calculator shows how long it takes to pay off a balance at a fixed monthly payment and how much interest you pay along the way.

Try raising the monthly payment by a small amount to see how much time and interest it saves. The payment has to be larger than the interest charged each month, otherwise the balance never falls. The calculation assumes no new purchases and a constant APR, while real cards may change rates or add fees. Paying more than the minimum is the most reliable way to cut the total cost.

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.