calculate-loan

01 Loan payments

Free Credit Card Payoff Calculator and Plan

Calculator No. 01-9719 · Updated · Formula and assumptions shown below

Months to repay 33 months
Total paid
$6,600.00
= Monthly payment × months to repay
Estimated interest
$1,600.00
= Monthly payment × months to repay − credit card balance
Credit card balance
$5,000
Input
You enter
Credit card balance ($), Interest rate (APR) (%), Monthly payment ($)
You get
Months to repay (months), Total paid ($), Estimated interest ($)
Rounding
0 dp · 2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

A free online credit card payoff plan estimates how many months it may take to clear a balance and how much interest you could pay at a fixed APR and monthly payment. Enter your balance, APR and planned monthly payment to see the estimated payoff time and total paid; this calculator models one card, not a full household debt plan.

Formula

The calculator uses the standard fixed-payment amortization formula to estimate repayment time. First it converts the annual percentage rate (APR) to a monthly rate, then solves for the number of monthly payments needed to cover the starting balance:

  • r = APR ÷ 1,200, the monthly interest rate as a decimal.
  • B = starting balance in dollars.
  • M = fixed monthly payment in dollars.
  • n = −ln(1 − rB/M) ÷ ln(1 + r), rounded to six decimal places and rounded up to the next whole month.
  • Total paid = M × n; estimated interest = total paid − B.

The calculation requires M to exceed the first month’s interest, rB. If the payment is too small to reduce the balance, the logarithm has no valid result and the calculator returns “Cannot compute.” That is a useful warning: a payment that only covers interest, or less, does not produce a payoff under these assumptions.

Worked Example

Using the defaults—$5,000 balance, 20% APR and a $200 monthly payment—the monthly rate is 20 ÷ 1,200 = 0.0166667, or about 1.6667%.

  1. Calculate the first month’s interest: $5,000 × 0.0166667 = about $83.33. The $200 payment exceeds that amount.
  2. Apply the payoff formula: n = −ln(1 − (0.0166667 × 5,000 ÷ 200)) ÷ ln(1.0166667) ≈ 32.28 months.
  3. Round up to a whole monthly payment: 33 months.
  4. Total paid in the calculator’s fixed-payment model: 33 × $200 = $6,600.
  5. Estimated interest: $6,600 − $5,000 = $1,600.

The result is an estimate, not a promise that a card issuer will accept exactly the same payment every month or calculate interest in precisely this way.

Assumptions

  • The APR stays fixed for the entire payoff period.
  • Payments are made monthly, with interest accruing at the APR divided by 12.
  • The model treats the payment as a fixed amount and rounds the payoff duration up to a whole month.
  • No new purchases, cash advances, late charges, annual fees, penalty rates, promotional-rate changes or other account activity are included.

How to Build a Practical Payoff Plan

Use a recent statement or account page to find the balance, applicable APR and minimum payment. If an account has separate balances at different rates—for example, purchases and transfers—this single-balance calculator cannot represent the issuer’s payment-allocation rules. Check the statement terms and consider estimating each balance separately, while recognizing that the combined result may differ.

To turn the estimate into a plan, compare a few payment amounts you could consistently make, then check the resulting time and total. The calculator does not determine what payment is affordable; that depends on your budget and other obligations. A realistic plan should account for essential expenses, irregular bills and a buffer for unexpected costs rather than relying on an amount that may be difficult to maintain.

  • Enter the balance you intend to repay, not the card’s credit limit.
  • Use the APR that applies to that balance. A temporary promotional rate may end, so do not assume it remains in effect without checking its terms.
  • Enter the payment you expect to make each month. If it is below the account’s required minimum, the calculator’s estimate is not a workable account schedule.
  • Recheck the figures when the balance, payment, APR or account terms change.

Why Real Card Payoff Results Can Differ

Credit cards commonly calculate interest using daily balances or another method described in the account terms; this tool simplifies that process to monthly compounding. Payment due dates, the timing of transactions, changing balances and issuer rounding can shift the actual result. The model also assumes the same payment continues through the final month, so its total paid may overstate the last payment if the remaining balance is smaller than the planned amount.

New spending is a major source of mismatch. If purchases continue while you are paying down the balance, the debt is no longer following the calculator’s no-new-charges assumption. Fees, a changing APR, missed payments and promotional offers can also affect the amount owed. Use the result as a comparison estimate, then review the card statement for the amount due and applicable terms.

A common misconception is that paying the minimum will necessarily clear a balance on a predictable schedule. A minimum is set under the card’s terms and may change as the balance changes; it is not necessarily the fixed payment entered here. If the minimum payment is close to or below monthly interest, repayment can take a long time. Your statement may include a payoff disclosure or estimate, which reflects account-specific assumptions.

Comparing Payment Scenarios and Other Options

Changing the monthly payment in the calculator shows how a fixed payment affects estimated duration and interest under the same APR. It can help illustrate the basic trade-off: paying more toward principal generally reduces the balance sooner, which leaves less balance accruing interest in later months. This is arithmetic, not a recommendation about what payment to make.

For multiple cards, a separate calculator run for each account can help organize balances, but it will not model a coordinated debt strategy. Methods that prioritize either the smallest balance or the highest APR are not captured by a one-card calculation. A balance transfer, consolidation loan or hardship arrangement also has terms, fees and eligibility details that this tool does not evaluate; use actual written terms to compare total costs and repayment conditions.

Frequently Asked Questions

Is this credit card payoff calculator free?
Yes. The calculator is designed to estimate payoff time and costs from the figures you enter; it does not require a payment to calculate the result.

How much should I pay each month to pay off my card?
There is no single amount that fits every balance, APR and budget. Enter different payment amounts to see estimated timelines, and check your account for its required minimum and actual terms.

Why does the calculator say “Cannot compute”?
The payment is not high enough to exceed the first month’s estimated interest, so the fixed-payment formula cannot produce a payoff time. Check the APR, balance and payment you entered.

Does the estimate include new purchases or fees?
No. It assumes one starting balance, no new transactions or fees, a fixed APR and a constant monthly payment.

Can I use it for more than one credit card?
Run it separately for each card, using that balance’s APR and payment. The results do not account for how payments across several cards are coordinated.

This result is an estimate for education, and the card issuer’s statement and account terms provide the exact figures.

Related

Formula used
in bal | Credit card balance | $ | 5000 | 0.01 | 100000000
in apr | Interest rate (APR) | % | 20 | 0.01 | 100
in pay | Monthly payment | $ | 200 | 0.01 | 100000000
out mos | Months to repay | months | ceil(round(-ln(1 - (apr / 1200) * bal / pay) / ln(1 + apr / 1200), 6)) | 0
out tot | Total paid | $ | pay * mos | 2
out int | Estimated interest | $ | pay * mos - bal | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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