A credit card payoff calculator estimates how long it will take to pay off a balance at a fixed monthly payment, plus how much you'll pay in total interest along the way. Enter your current balance, the APR, and the amount you can pay each month, the calculator returns the payoff timeline and total interest cost.
Useful for debt-payoff planning, "what if I pay $X more per month" comparisons, and seeing the real cost of carrying a balance. Credit card APRs are typically the highest in consumer finance (often 18-30%), so even moderate balances accumulate large interest over long payoff periods. See average credit card balances by state in our 2026 state-by-state debt study.
Key takeaway
The minimum payment on a credit card is designed to be barely more than the interest accruing each month. Pay only the minimum and your balance pays down by pennies while you owe dollars in interest, a 20-year payoff timeline on a balance you could clear in 2-3 years with modest extra payments. Even small increases above the minimum dramatically shorten the timeline.
How it's calculated
The math solves the standard fixed-payment amortization formula for the number of months (n) given the balance, monthly rate, and payment:
n = −ln(1 − P × r ÷ M) ÷ ln(1 + r)
where:
- P = current balance
- r = monthly rate (APR ÷ 12 ÷ 100)
- M = monthly payment
Total interest paid = M × n − P. The formula has an important edge case: if the monthly payment is less than or equal to the interest accruing each month (M ≤ P × r), the balance never gets paid off, the formula returns NaN or a negative number. Real credit cards usually require a minimum that's slightly above the monthly interest accrual, but the gap is small enough that minimum payments leave you treading water.
A useful sanity check: monthly interest accrual = balance × APR ÷ 12 ÷ 100. For a $5,000 balance at 22% APR, that's $5,000 × 0.22 ÷ 12 ≈ $92/month in interest alone. A $100/month payment is barely chipping at principal; $300/month is a serious payoff effort.
Source: Solving the standard amortization formula for the number of periods (n) given a fixed payment
Examples
$5,000 balance at 22% APR, $200/month payment
- Current balance $5,000
- Annual rate (APR) 22%
- Monthly payment $200
A $5,000 balance at 22% APR with $200/month payments takes about 34 months (2 years 10 months) to pay off, costing ~$1,750 in total interest. Doubling the payment to $400/month cuts the timeline to ~15 months and total interest to under $700, the more you pay each month, the bigger the savings on the back end.
$2,500 balance at 18% APR, $100/month payment
- Current balance $2,500
- Annual rate (APR) 18%
- Monthly payment $100
A $2,500 balance at 18% APR with $100/month payments takes 32 months to pay off and costs ~$657 in interest, about 26% of principal added in interest cost. At $200/month, the same debt clears in ~14 months with only ~$320 in interest.
Frequently asked questions
How is credit card interest calculated?
Credit cards use daily periodic rate compounding: divide your APR by 365 (or 360, varies by issuer) to get the daily rate, then apply that rate to your average daily balance each billing cycle. The compounding makes the effective annual rate (EAR) slightly higher than the stated APR, by about 1-2 percentage points for typical card APRs. New purchases usually have a 21-25 day grace period if the previous balance was paid in full; carry any balance and the grace period vanishes for the next cycle.
Should I pay off the smallest balance or the highest APR first?
Mathematically, highest APR first ("avalanche method") minimizes total interest paid. Psychologically, smallest balance first ("snowball method") provides faster wins that build momentum. Research suggests snowball improves persistence; avalanche saves more money. Pick whichever you'll actually stick with, a completed snowball plan beats an abandoned avalanche plan. For tied-priority balances, default to highest-APR.
What's a balance transfer and is it worth doing?
A balance transfer moves debt from one card to another that offers a low (often 0%) introductory APR for 12-21 months. Transfer fees are typically 3-5% of the transferred amount. Worth it if: you can pay off the balance within the promo window, the transfer fee is less than what you'd otherwise pay in interest, and you don't add new charges to either card. Risky if: you keep adding to the balance, miss a payment (which can void the promo APR), or can't pay off before the rate jumps.
Will paying off a credit card hurt my credit score?
Usually it helps. Lower utilization (balance ÷ credit limit) is a major factor in credit scoring; getting it under 30% (and ideally under 10%) raises your score. Closing a paid-off card can briefly lower your score by reducing total available credit and shortening average account age, so consider keeping old cards open even if you're not using them. Pay off, but don't necessarily close.
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