Credit Card Payoff Calculator

What is a Credit Card Payoff Calculator?

A credit card payoff calculator shows how long it takes to eliminate your balance and how much interest you will pay. Because card APRs are among the highest rates consumers pay — often 20% or more — the gap between the minimum and a fixed, larger amount can be thousands of dollars and years of payments.

This calculator works in two directions: enter a fixed monthly payment to see your payoff timeline, or enter a target number of months to find the required payment.

How to Use

1. Enter your current card balance and annual percentage rate (APR).
2. Choose whether to calculate by monthly payment or target payoff time.
3. Enter your monthly payment or desired number of months.
4. Click Calculate to see your payoff timeline and explore faster scenarios.

The Credit Card Payoff Formula

With a fixed monthly payment and no new charges, the number of payments needed to pay off a balance is:

N = −ln(1 − r·B/P) / ln(1 + r)

• N — number of monthly payments to pay off the debt
• B — current balance (principal)
• P — fixed monthly payment
• r — monthly interest rate (APR ÷ 12, as a decimal)
• ln — the natural logarithm

The formula only works when P > r·B — your payment must exceed the first month's interest. If P ≤ r·B, the logarithm's argument turns zero or negative and the math breaks down, because the balance would never shrink: the entire payment goes to interest. On a $6,000 balance at 22% APR, first-month interest is 6,000 × (0.22 ÷ 12) = $110, so any payment of $110 or less makes no progress.

This calculator simulates the payoff month by month, handling the final smaller partial payment the way your issuer would. The result matches the formula: the logarithm gives 43.95 payments, rounding up to 44.

Worked Example: $6,000 at 22% APR

Suppose you owe $6,000 on a card charging 22% APR and commit to paying $200 per month (with no new charges):

• Month 1: interest of $6,000 × 0.22 ÷ 12 = $110.00 is added; the $200 payment clears it and cuts the balance by $90 to $5,910.
• Months 2–43: interest shrinks as the balance falls, so a growing share of each payment attacks principal.
• Month 44: a final partial payment of $190.68 retires the balance.

Result: 44 months (about 3 years and 8 months) to become debt-free. You pay $8,790.68 in total, of which $2,790.68 is interest — about 46 cents of interest per dollar originally owed.

Minimum Payment vs. Fixed Payments

The table compares three strategies on the same $6,000 balance at 22% APR, using this calculator's month-by-month simulation:

Going from $200 to $300 cuts 18 months and saves $1,247.81 in interest; versus a shrinking minimum, the fixed $200 saves over $7,100 and more than 17 years of payments.

The Minimum-Payment Trap

Issuers typically set the minimum at a small percentage of the balance (often 1–3%) or interest plus 1% of principal. Because the minimum shrinks as the balance falls, it stays barely above the interest charge and principal barely moves — which is why $6,000 at 22% APR can take over two decades to repay on minimums, costing $9,933.11 in interest. The simplest escape: fix your payment at today's amount and never let it drop.

Debt Avalanche vs. Debt Snowball

With multiple cards, make minimum payments on all and pick an order of attack:

• Debt avalanche: throw every extra dollar at the highest-APR card first. Mathematically optimal — it minimizes total interest.
• Debt snowball: pay off the smallest balance first, then roll that freed-up payment into the next one. It costs slightly more interest, but the quick wins keep many people motivated.

Both work — pick the one you will stick with. Model each card here, then track the plan with our debt payoff calculator.

Balance Transfer Cards

A balance transfer card offers a 0% introductory APR for a promotional period (often 12–21 months) in exchange for a fee of 3–5% of the amount moved. Moving $6,000 at a 3% fee costs $180 up front, but at 0% interest a $300 monthly payment clears the debt in about 21 months — versus $1,542.87 of interest at 22% APR. It only pays off if you clear the balance before the promotion ends and avoid new purchases at the regular APR.

APR vs. APY

APR (annual percentage rate) is the simple annual rate; APY (annual percentage yield) includes compounding. Credit cards compound daily, so a 22% APR equals an APY of about 24.6%. This calculator applies one-twelfth of the APR per month, closely approximating the daily-balance method issuers use. Compare rates with our APR calculator, or see compounding work for you with the compound interest calculator.

Frequently Asked Questions