Credit Card Payoff Calculator
Find out how long your credit card will take to clear — or the fixed payment needed to clear it by a target date — plus the interest cost either way.
How to use this calculator
- 1Enter your current balance and the card’s APR (the purchase rate, on your statement).
- 2Choose how you want to plan it: a fixed amount each month, a target number of months to be debt-free, or "minimum only" to see the cost of doing the least allowed.
- 3Adjust the payment or timeframe and watch how sharply the interest total changes — the relationship is not linear.
How the calculation works
n = −log(1 − B·i/A) / log(1 + i), or A = B·i / (1 − (1 + i)⁻ⁿ) solved the other way round- n
- Number of monthly payments
- B
- Current balance
- i
- Monthly rate — APR ÷ 12
- A
- Fixed monthly payment
The same annuity formula runs in either direction: given a payment, the first form solves for how many months it takes; given a target number of months, the second form — the standard loan-payment formula — solves for the payment needed.
Both closed forms apply to a fixed payment. When you pay only the minimum, the payment itself shrinks with the balance, so the calculator simulates that scenario month by month instead.
The "time" formula is undefined when A ≤ B·i — that is the mathematical statement of "the payment does not cover the interest", and the balance grows without limit. Solving for the payment has no such failure case: any target timeframe has a payment that achieves it.
Worked example
A $6,000 balance at 22.9% APR paying $250 a month
- 1.The monthly rate is 22.9% ÷ 12 = 1.9083%, so the first month accrues $114.50 of interest.
- 2.Only $135.50 of the first $250 payment reduces the balance.
- 3.n = −log(1 − 6,000 × 0.019083 ÷ 250) ÷ log(1.019083) = 32.4, so it takes 33 payments.
- 4.Total interest comes to $2,100.77 — 35% of the balance, on top of repaying the balance itself.
Result: 2 years 9 months, with $2,100.77 of interest
The same $6,000 balance, but debt-free in 24 months
- 1.(1 + i)⁻ⁿ = 1.019083⁻²⁴ = 0.635283, so 1 − (1 + i)⁻ⁿ = 0.364717.
- 2.A = B·i / (1 − (1 + i)⁻ⁿ) = 6,000 × 0.019083 ÷ 0.364717 = 114.50 ÷ 0.364717 = $313.94.
- 3.Paying $313.94 a month for 24 months clears the balance exactly, for total interest of about $1,534.60.
- 4.That is $566.17 less interest than the $250-a-month plan above, in exchange for a payment that is $63.94 higher — the faster payoff gives the balance far less time to accrue interest.
Result: $313.94 a month for 24 months, about $1,534.60 of interest
Why credit card debt behaves differently from a loan
A credit card is revolving credit: there is no fixed repayment schedule and no date by which the balance must reach zero. Every month the issuer applies interest to whatever balance is outstanding, adds it to what you owe, and lets you decide how much of that total to repay. Compare that to a mortgage or auto loan, where the lender sets a payment and a payoff date on day one — a credit card leaves both entirely up to the borrower, which is exactly why balances that "just sit there" tend to grow rather than shrink.
The rate charged is also usually far higher than most other consumer borrowing, because the debt is unsecured — there is no car or house behind it for the issuer to repossess if payments stop. That higher rate, combined with a payment structure that does not enforce progress, is what makes card debt one of the most expensive ways to carry a balance for any length of time.
Why the minimum payment barely moves the balance
Issuers calculate the minimum due as a small percentage of the current balance, subject to a fixed floor. That design means the minimum shrinks every month as the balance falls, which sounds friendly but has a quiet consequence: the pace of repayment keeps slowing down just as it should be speeding up. In the early months, a large share of a minimum payment covers interest that has already accrued, leaving comparatively little to reduce the amount actually owed.
This is not an accident of bad luck — it is how the payment formula is built. A card carrying a large balance at a high rate can take a very long time to clear at the minimum alone, and the total interest paid along the way can end up rivaling or exceeding the original balance.
Strategies for paying it down faster
Any payment above the minimum shortens the payoff time disproportionately, because every extra dollar stops accruing interest immediately. A few structured approaches make the biggest difference:
- 1The avalanche method — if you carry more than one card, direct every spare dollar at whichever has the highest interest rate first, while paying the minimum on the rest. Mathematically this minimises total interest paid across all your debts.
- 2The snowball method — direct spare dollars at the smallest balance first, regardless of its rate. It costs more in interest than the avalanche approach, but the faster string of fully paid-off cards is, for many people, easier to sustain.
- 3A balance transfer — move the balance to a card offering a temporary low or 0% promotional rate, which — if paid off before the promotion ends — can eliminate most of the interest entirely. Transfer fees and what the rate reverts to afterward both need checking before committing.
- 4A consolidation loan — a personal loan, taken at a fixed rate typically well below a card’s APR, used to pay the card off in full. This trades revolving, open-ended debt for a fixed schedule with a guaranteed end date.
The link between card balances and your credit
Card balances feed into credit scoring through utilization — the share of your available credit limit currently in use. Carrying a high balance relative to your limit, even one you pay off responsibly every month, can pull a score down, while paying a balance down (independent of any interest saved) tends to help it recover. This is one of the few places where paying off debt delivers a benefit that shows up somewhere other than a bank statement.
From charge plates to revolving credit
The modern credit card grew out of mid-20th-century charge cards, which required the full balance to be paid off every month with no option to carry debt forward. The shift to revolving credit — letting a cardholder carry a balance and pay it down over time, for a fee — took off through the 1950s and 1960s as banks realised that flexible, interest-bearing repayment was a business in its own right, not just a payment convenience. That single design decision, letting the balance revolve, is the reason credit card debt still behaves so differently from every other kind of consumer loan today.
What this assumes, and where it stops
Assumptions
- No new spending is added to the card. Any purchase during the payoff period extends it.
- The APR is fixed and applied monthly to the full balance, with no interest-free grace period.
- Payments arrive on time. A missed payment usually triggers fees and sometimes a penalty APR.
- Every payment goes to the same balance. Cards with mixed purchase, cash-advance and balance-transfer rates allocate payments by law in some jurisdictions and by issuer policy in others.
Limitations
- Cash advances, annual fees, late fees and foreign-transaction charges are not included.
- Promotional 0% periods and their expiry are not modelled — run two calculations if you have one.
- Where interest is charged daily on an average daily balance, the true figure will differ slightly from this monthly approximation.
Common questions
Why do minimum payments take so long?
Because the minimum is a percentage of the balance, it falls as the balance falls, so you are always paying a little over the interest and very little principal. A typical 2% minimum on a card at 20%+ APR can take well over 20 years to clear and cost more in interest than the original debt.
Is it better to pay off the highest rate or the smallest balance first?
Mathematically, always the highest interest rate — that is the avalanche method, and it minimises total interest. The smallest-balance-first snowball method costs more but produces visible wins sooner, which some people find easier to sustain. The cheapest plan is only cheaper if you stick to it.
What counts as a good payment amount?
Anything meaningfully above the interest charge. Look at the "first month’s interest" figure: every pound above it goes to the balance. Doubling that number typically halves the payoff time.
How much do I need to pay to be debt-free in a specific number of months?
Switch the plan to "within a set number of months" and enter your target. This calculator runs the standard loan-payment formula in reverse to find the fixed monthly payment that clears the balance exactly on schedule — the same formula a fixed-rate loan payment is built from, applied to a target payoff date instead of a target payment.
Sources
- How credit card interest is calculated — US Consumer Financial Protection Bureau
Formula and content last reviewed on .
Results are estimates for information only, not professional advice.
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