calculate-loan

01 Loan payments

Credit Card Balance Payoff Calculator

Calculator No. 01-9665 · Updated · Formula and assumptions shown below

The calculator on this page is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

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 balance payoff calculator estimates the fixed monthly payment needed to repay a balance over a chosen number of years, plus the total interest under that payment schedule. Enter the balance, APR, and payoff term to see an estimated monthly payment and interest cost; it does not compare or recommend cards.

Formula

The calculator applies the standard level-payment amortization formula. It converts the annual percentage rate (APR) to a monthly rate, then finds the fixed payment that would reduce the balance to zero after the selected number of monthly payments:

Monthly payment = round(B × r / (1 − (1 + r)−n), 2)

  • B is the starting balance in dollars.
  • r is the monthly rate, calculated as APR ÷ 1,200. For example, a 20% APR gives a monthly rate of 0.016667, or about 1.667%.
  • n is the payoff term in months, calculated as years × 12.
  • Monthly payment is rounded to the nearest cent. Estimated total interest is monthly payment × number of months − starting balance.

This is a payoff calculator, not a credit-card offer comparison. It models a fixed balance and fixed rate; it does not determine whether a particular balance-transfer offer is available or what its terms would be.

Worked Example

Using the calculator’s defaults—$5,000 balance, 20% APR, and a three-year payoff—the payment period is 3 × 12 = 36 months. The monthly rate is 20 ÷ 1,200 = 0.0166667.

  1. Compute the payment: $5,000 × 0.0166667 ÷ [1 − (1.0166667)−36] = approximately $185.96 per month, rounded to cents.
  2. Compute total payments using the rounded payment: $185.96 × 36 = $6,694.56.
  3. Subtract the original balance: $6,694.56 − $5,000 = $1,694.56 estimated interest.

The result assumes the balance is repaid through 36 equal monthly payments. Actual statements can differ because of daily balance calculations, payment dates, new transactions, and rounding.

Assumptions

  • The APR remains fixed for the entire modeled payoff period.
  • Payments are equal, made monthly, and treated as end-of-period payments.
  • Interest compounds monthly at APR ÷ 12.
  • No new purchases, cash advances, late payments, fees, promotional-rate changes, taxes, insurance, or other charges are included.

When a Balance Payoff Calculator Helps

A fixed-payment estimate helps translate a credit-card balance and APR into a monthly target and a rough financing cost. You can also change the term to see how the payment and total interest move together: a shorter term generally requires a larger payment but has fewer interest-accruing months, while a longer term spreads payments out and can raise total interest. That comparison is mathematical, not a recommendation about what payment is suitable for a person.

For example, if you are considering moving a balance to another card, this calculator can estimate payoff arithmetic after you enter the balance, rate, and term that apply to the debt. A promotional period or transfer charge would need separate inputs; neither is included here. Check the offer’s written terms for its actual APR, duration, charges, eligibility, and how payments are allocated. Do not assume a promotional rate applies to every balance or lasts for the entire payoff.

Credit Card Payoff Versus Balance Transfer

Paying a balance on the existing card and transferring it are different arrangements. A payoff plan means making payments against the current debt under its applicable terms. A balance transfer moves some or all of a debt to a different account, if approved under that account’s terms. A transfer does not erase the debt; it changes where the debt is owed and may change the rate, fees, or payment conditions.

To compare two scenarios fairly, use the same balance and payoff horizon, and account for any transfer fee as an added cost. The calculator does not assess applications, predict approval, or include a fee automatically. If a rate changes during the period, a single fixed-APR result will not represent the entire schedule. You would need to calculate the different periods separately or use a model that supports changing rates and fees.

Limits and Common Calculation Problems

The model assumes a steady balance apart from scheduled payments. Real card balances can change when new purchases, refunds, fees, or additional payments post. Interest on many cards is based on daily balances, so the exact amount depends on transaction and payment timing as well as the account’s calculation method. A monthly approximation is useful for planning arithmetic but may not match the issuer’s statement to the cent.

  • Adding purchases: New spending increases the balance and can extend repayment beyond the displayed term.
  • Using a minimum payment as a fixed payment: Minimum payments often vary with the balance and account terms. This calculator assumes the same dollar payment every month.
  • Rounding: The monthly figure is rounded to cents, and the interest estimate uses that rounded payment. The final payment in a real payoff schedule may be smaller or adjusted.
  • Entering the wrong rate: Use an APR expressed as a percentage, such as 20 for 20%, not 0.20. The calculator converts annual APR to a monthly rate.
  • Ignoring fees or rate changes: These can increase costs or change the time needed to repay the debt and are not represented in the result.

At a zero balance, the formula returns a zero payment and zero interest. The calculator’s positive APR range is designed for estimating a balance that accrues interest; a card with a zero-rate period needs a separate treatment for that period.

Frequently Asked Questions

What is a balance payoff calculator?
It estimates a fixed monthly payment and total interest for repaying a balance over a selected term at a stated APR. It is an arithmetic estimate, not a card offer or approval tool.

Does this calculator include a balance transfer fee?
No. It does not include transfer fees or other charges. To evaluate a specific offer, get the fee and rate details from its written terms and account for those costs separately.

Why does my card statement show a different interest amount?
The calculator uses monthly compounding and equal end-of-month payments. A card may calculate interest from daily balances, and the dates purchases and payments post can affect the statement amount.

Will paying more each month reduce total interest?
In general, a larger payment applied to the balance reduces the amount outstanding sooner, which can reduce interest in an amortizing model. This calculator does not model variable payments, so enter a payoff term that represents the schedule you want to examine.

Does a balance transfer clear my debt?
No. It shifts a balance to another account under that account’s terms. The amount remains owed, and any fees or changes in rates can affect the total cost.

This result is an estimate, and the lender’s disclosure gives the exact figures.

Related

Formula used
in bal | Credit card balance | $ | 5000 | 0 | 100000000
in apr | Interest rate (APR) | % | 20 | 0.01 | 100
in yrs | Payoff term | years | 3 | 0.0833 | 50
out pmt | Monthly payment | $ | round(bal * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - 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 →