calculate-loan

01 Loan payments

Credit Card Payment Schedule Calculator

Calculator No. 01-6696 · Updated · Formula and assumptions shown below

Estimated payments to repay 26 months
Estimated total paid
$6,500.00
= Estimated payments to repay × planned monthly payment
Estimated interest paid
$1,500.00
= Estimated total paid − credit card balance
Credit card balance
$5,000
Input
You enter
Credit card balance ($), Interest rate (APR) (%), Planned monthly payment ($)
You get
Estimated payments to repay (months), Estimated total paid ($), Estimated interest paid ($)
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.

This credit card payment schedule calculator estimates how many monthly payments it may take to repay a balance, and how much you would pay in total, using the balance, APR, and planned monthly payment you enter. It assumes you stop adding new charges and pay the same amount each month; the actual statement due date and minimum payment are set by your card issuer.

Formula

The calculator estimates the number of equal monthly payments using the standard amortization equation, rounded up to a whole payment:

n = ceil(round(-ln(1 - r × B / M) / ln(1 + r), 6)), where r = APR / 1200.

  • B is the starting balance in dollars.
  • APR is the annual percentage rate entered as a percentage, such as 24 for 24%.
  • r is the monthly rate expressed as a decimal.
  • M is the planned monthly payment in dollars.
  • n is the estimated number of monthly payments.
  • Total paid is n × M; estimated interest is total paid minus the starting balance.

The formula treats each month as a regular period with interest applied to the remaining balance. The final payment is counted as a full planned payment in the total, so the estimate can slightly overstate the amount actually needed if the last payment would be smaller. The calculator cannot produce a repayment period when the monthly payment does not exceed the first month’s interest.

Worked Example

Using the default inputs: a $5,000 balance, 24% APR, and a $250 monthly payment:

  1. Convert APR to a monthly decimal rate: r = 24 / 1200 = 0.02, or 2% per month.
  2. Substitute into the payment-count formula: n = ceil(round(-ln(1 - 0.02 × 5000 / 250) / ln(1.02), 6)).
  3. Calculate the expression: 1 - (0.02 × 5000 / 250) = 0.6; -ln(0.6) / ln(1.02) ≈ 25.75. Rounding up gives 26 payments.
  4. Estimated total paid: 26 × $250 = $6,500.00.
  5. Estimated interest paid: $6,500.00 - $5,000.00 = $1,500.00.

Assumptions

  • The APR stays fixed throughout repayment.
  • Payments are made monthly, with the first payment one month after the starting balance is measured.
  • Interest compounds monthly at APR divided by 12.
  • No new purchases, cash advances, balance transfers, late charges, annual fees, or other fees are added.
  • Taxes, insurance, and other account-specific charges are not modelled.

How a Credit Card Payment Schedule Works

A payment schedule is a timeline showing the expected payments needed to reduce a balance. A credit card statement usually provides a payment due date, a minimum amount due, and the statement balance. Those items serve different purposes: the due date tells you when payment is due, the minimum is the issuer-calculated amount required for that billing cycle, and the statement balance records charges and credits through the statement closing date.

This calculator answers a narrower planning question: how long repayment might take if you repeatedly pay the amount entered and do not use the card for new purchases. It does not create a calendar with exact dates. To map its monthly estimate onto a calendar, start with the date of the first payment and count forward by billing periods, while checking each statement for the amount actually due.

Choosing the Payment Amount

Enter an amount you can realistically make every month, rather than assuming an occasional larger payment will recur. The minimum payment is not necessarily a fixed dollar amount: issuers determine it under their account terms, and it can change as the balance changes. Use the current statement or account disclosure for the actual minimum and payment due date; this calculator does not determine either one.

For a useful comparison, run separate estimates with different monthly payment amounts while keeping the balance and APR unchanged. This shows how the assumed payment affects the estimated time and total. It is a mathematical comparison, not a prediction of future account terms. If the APR is variable, or a promotional rate will end, one fixed-rate estimate cannot represent all future months.

What the Estimate Leaves Out

Credit card interest is commonly calculated from daily balances under the account’s terms, rather than by simply applying one monthly rate to the original balance. The schedule here uses a monthly approximation, so its result may differ from statement-by-statement charges. Payment timing, transaction posting, grace-period treatment, different rates for purchases and cash advances, and rounding can also affect the actual balance.

The estimate also assumes every payment is credited in full and on time. New spending can extend repayment; fees or a rate change can alter it; and payments may be allocated among balance categories according to account terms. If the account has multiple APRs, enter one rate only as a simplified estimate, not as a full payoff plan.

Common Problems and Misunderstandings

  • Confusing APR with the monthly rate: enter the annual APR as a percentage. The calculator divides it by 12 and converts it to a decimal internally.
  • Entering the minimum without checking it: the calculator does not know the card’s minimum-payment formula. Use the current statement amount if you are modelling that payment.
  • Assuming a payment below interest will reduce debt: when the payment is no greater than the first month’s interest, this calculation cannot produce a finite payoff schedule.
  • Treating the final instalment as exact: the result rounds the count up and multiplies that count by the full entered payment. An actual final payment may be smaller.
  • Forgetting new charges: purchases or fees added after the starting balance make the no-new-charges estimate too optimistic.

Frequently Asked Questions

When is my credit card payment due?
Check the due date printed on your latest statement or shown in your account. This calculator estimates a number of payment periods; it does not know your billing cycle or due date.

Does paying the minimum pay off a credit card?
It can reduce a balance if the payment exceeds the interest and other charges, but repayment may take a long time. The result depends on the balance, APR, minimum-payment method, and any new charges. Use the statement’s actual minimum as an input for a simplified estimate.

Why does the calculator say it cannot compute?
The planned payment may be at or below the estimated first month’s interest. A payment that does not exceed interest cannot repay the balance under this fixed-payment formula.

Does the estimate include new purchases or fees?
No. It assumes the starting balance stays the only amount being repaid and that no extra charges are added. Update the balance or use account-specific figures for a changed situation.

Why might my statement show different interest?
The calculator uses monthly compounding as an approximation. The card issuer may calculate interest using daily balances and account-specific rules, and actual payment dates, new transactions, rate changes, or fees can change the result.

This result is an estimate for education, not financial advice; your card issuer’s disclosure and statements give the exact account figures.

Related

Formula used
in bal | Credit card balance | $ | 5000 | 0 | 100000000
in apr | Interest rate (APR) | % | 24 | 0.01 | 100
in pmt | Planned monthly payment | $ | 250 | 0.01 | 100000000
out mos | Estimated payments to repay | months | ceil(round(-ln(1 - (apr / 1200) * bal / pmt) / ln(1 + apr / 1200), 6)) | 0
out tot | Estimated total paid | $ | mos * pmt | 2
out int | Estimated interest paid | $ | tot - 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.

More in this section

The whole Loan payments section →