A credit card payoff calendar estimates how many monthly payments it may take to clear a balance and lays out the expected payment dates and remaining balance. Enter your balance, APR, planned monthly payment, and payment timing to see an estimated payoff date, total interest, and a month-by-month schedule.
Formula
The calculator estimates the number of monthly payments needed to repay a balance using a fixed monthly payment and a fixed APR. It uses the standard amortization payoff equation:
n = ceil(round(-ln(1 - r × B / M) / ln(1 + r), 6))
- B is the starting balance in dollars.
- APR is the annual percentage rate, entered as a percent per year.
- r is the monthly rate, calculated as APR ÷ 1,200.
- M is the planned monthly payment in dollars.
- n is the estimated number of monthly payments, rounded up to a whole payment.
Estimated total paid is M × n; estimated interest is total paid minus the starting balance. This method assumes the same payment and rate each month. Actual card statements commonly calculate interest using daily balances, so the calendar is an estimate rather than a statement-level forecast. The “days until first payment” input helps place the first estimated date on a calendar; it does not change the monthly payoff arithmetic.
Worked Example
Using the defaults—$5,000 balance, 18% APR, $250 monthly payment, and 30 days until the first payment:
- Convert APR to a monthly rate:
r = 18 ÷ 1,200 = 0.015, or 1.5% per month. - Substitute into the payoff formula:
n = ceil(round(-ln(1 - 0.015 × 5,000 ÷ 250) ÷ ln(1.015), 6)). - Since
0.015 × 5,000 ÷ 250 = 0.3, the expression becomesceil(round(-ln(0.7) ÷ ln(1.015), 6)), orceil(23.883...), which equals 24 payments. - Estimated total paid:
$250 × 24 = $6,000. - Estimated interest:
$6,000 − $5,000 = $1,000.
Under these assumptions, the estimate is 24 monthly payments, $6,000 total paid, and $1,000 in interest. The final payment in real life could be smaller than the fixed amount because only the remaining balance and accrued interest would be due.
Assumptions
- The APR and monthly payment remain fixed throughout the estimate.
- Payments are made monthly, with the first payment date estimated from the number of days entered.
- Interest is approximated with monthly compounding at APR ÷ 12, not a card issuer’s exact daily-balance method.
- No new purchases, balance transfers, late payments, fees, penalty rates, credits, or changes to the account are included.
How a Payoff Calendar Works
A payoff calendar turns a balance estimate into a sequence of payment periods. For each month, a detailed schedule would show the opening balance, estimated interest, payment, and closing balance. Interest increases the amount owed before the payment is applied; the payment then reduces what remains. Repeating that process gives an approximate payoff month.
For planning dates, count forward from the first expected payment date by the number of monthly payment periods. Calendar months have different lengths, and card due dates may shift for weekends or holidays, so the estimate should not be treated as an exact due-date notice. Check the statement for the actual amount and deadline.
The fixed-payment equation is useful when you already have a monthly amount in mind. If your payment changes from month to month, a calendar needs to model each payment separately. Likewise, new card spending can lengthen the payoff period or prevent progress even when the planned payment is made.
Choosing Inputs and Reading the Results
- Balance: Use the current amount you want to repay. If the account has multiple balances with different APRs, this single-rate estimate cannot show their separate treatment.
- APR: Enter the rate that applies to the balance, not a promotional or purchase rate that applies to a different portion. Use the figure shown on your current account information.
- Monthly payment: Enter the amount you expect to pay each month. The payment must exceed the first month’s estimated interest; otherwise it cannot reduce the balance. The calculator reports that case as unable to compute.
- First-payment timing: Enter the approximate number of days until the next planned payment. The calendar date depends on the date you start from, while the payoff estimate here is expressed in monthly payments.
The total-paid and interest results use the entered payment multiplied by the rounded-up number of months. That is a simple planning estimate: a real final payment may be lower, and payment dates, daily interest, and rounding can change the result. The payment field is not a minimum-payment calculator; minimum payments can change as the balance changes, so a fixed-payment calendar may not represent that pattern.
Common Problems and Limitations
A frequent mistake is entering an APR as a decimal: enter 18 for 18%, not 0.18. Another is assuming every dollar of a payment reduces principal. When interest accrues, part of the payment covers interest first, so the balance falls more slowly than the payment amount suggests.
Credit cards may apply different APRs to purchases, cash advances, and transferred balances. Some accounts also have promotional periods, fees, or variable rates. A single balance and APR cannot capture those conditions or predict future rate changes. For a more detailed estimate, separate balances by rate and calculate each portion under its own assumptions, while checking how payments are allocated with the card issuer.
This is arithmetic for education, not financial advice. It does not determine what payment is appropriate for a particular person. Use the current account statement and issuer information for exact balances, rates, fees, due dates, and payment requirements. The result is an estimate; the lender’s disclosure gives the exact figures.
Frequently Asked Questions
How do I make a credit card payoff calendar?
Start with the balance and applicable APR, choose a fixed monthly payment, then estimate monthly interest and subtract each payment in sequence. This calculator estimates the payoff period and totals using a fixed-rate monthly approximation.
Does the payoff calendar include new purchases?
No. It assumes no additional charges. New purchases add to the amount owed and may have a different APR, so include them in a revised estimate rather than relying on the original schedule.
Why does the calculator say it cannot compute?
The planned payment may be too small to cover the first month’s estimated interest. A balance will not be paid off by a fixed payment that does not exceed the interest charged under the assumptions.
Is the payoff date exact?
No. Actual interest may be calculated daily, and the payment amount, rate, transactions, and dates may change. Treat the date as an estimate and use your statement for the exact due date and payoff amount.
Can I use this for two credit cards?
Calculate each card separately when their balances or APRs differ. This one-rate calculator does not model how a combined payment is divided among accounts or balance categories.
Related
Formula used
in bal | Credit card balance | $ | 5000 | 0.01 | 100000000 in apr | Interest rate (APR) | % | 18 | 0.01 | 100 in pmt | Monthly payment | $ | 250 | 0.01 | 100000000 in day | Days until first payment | days | 30 | 0 | 366 out mos | Payments to payoff | months | ceil(round(-ln(1 - (apr / 1200) * bal / pmt) / ln(1 + apr / 1200), 6)) + 0 * sqrt(pmt - bal * (apr / 1200)) | 0 out total | Estimated total paid | $ | pmt * mos | 2 out int | Estimated interest | $ | total - 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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