calculate-loan

01 Loan payments

36-Month Credit Card Payoff Plan Calculator

Calculator No. 01-9660 · 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 calculator estimates the fixed monthly payment needed to repay a credit card balance in 36 months at a stated APR, assuming no new charges. Enter your balance and APR to see the estimated payment and total paid; use your card statement for the actual rate and balance.

Formula

The calculator uses the standard fixed-payment amortization formula. It first converts the annual percentage rate to a monthly rate, then finds the payment that reduces the balance to zero after the chosen number of monthly payments:

M = round[B × r ÷ (1 − (1 + r)−n), 2]

  • M is the monthly payment in dollars.
  • B is the starting balance in dollars.
  • r is the monthly interest rate, calculated as APR ÷ 1,200.
  • n is the number of monthly payments, calculated as years × 12.

Total payments are M × n, and estimated interest is total payments minus the starting balance. Because the monthly payment is rounded to cents first, the total uses that rounded payment, as shown by the calculator.

Worked Example

Using the defaults—$5,000 balance, 20% APR, and three years:

  1. Monthly rate: 20 ÷ 1,200 = 0.0166667.
  2. Number of payments: 3 × 12 = 36.
  3. Payment before rounding: 5,000 × 0.0166667 ÷ [1 − (1.0166667)−36] ≈ $185.81.
  4. Monthly payment rounded to cents: $185.81.
  5. Total of payments: $185.81 × 36 = $6,689.16.
  6. Estimated interest: $6,689.16 − $5,000 = $1,689.16.

The calculation assumes payments are made as scheduled and the rate and balance do not change. Actual card interest can differ because issuers generally calculate interest using account terms and daily balances.

Assumptions

  • The APR is fixed for the full payoff period.
  • Payments are equal, made monthly, and applied at the end of each monthly period.
  • Interest compounds monthly at APR ÷ 12; daily balance calculations are not modelled.
  • No new purchases, cash advances, late payments, promotional-rate changes, fees, taxes, or other charges are included.
  • The estimate does not account for a minimum-payment formula or issuer-specific payment allocation rules.

Using a 36-Month Payoff Estimate

A 36-month plan means dividing repayment into 36 monthly periods; it is not a promise that a card account will be paid off on that schedule. The result is a calculated level payment for the inputs supplied. If your budgeted payment is below the result, the balance would generally take longer to clear under the same rate assumptions. If you pay more, the payoff may happen sooner, but the calculator does not model changing payment amounts.

To make the estimate more useful, start with the current statement balance and the purchase APR that applies to that balance. A card can have separate rates for purchases, transfers, and cash advances, and promotional terms may change. If the balance includes several types of transactions, one APR may not represent the interest charged on all of them.

Compare the calculated payment with the amount you can consistently direct to the balance, while leaving room for required expenses and unexpected costs. This is arithmetic for planning, not individualized financial advice. If you have several accounts, calculate each balance separately because rates and terms can differ. The calculator does not decide how to distribute a payment among accounts.

How to Use This List

Enter the balance and APR shown on your statement, then leave the payoff period at three years if you want a 36-month estimate. The first result is the monthly payment; the other results show the total of those payments and the estimated interest. Change one input at a time to see how the estimate responds. If the APR changes, the payment estimate changes too. Recalculate if your balance, rate, or target period changes, and treat the result as an estimate rather than a bill amount.

Common Mistakes and Limits

Do not enter the APR as a decimal: use 20 for 20%, not 0.20. The formula converts a percentage to a monthly decimal rate itself. Also avoid using a statement’s minimum-payment amount as if it were a fixed 36-month payment; minimums are commonly calculated differently and can change as the balance falls.

Rounding is another source of small differences. This calculator rounds the required payment to the nearest cent, then multiplies that amount by 36 for the displayed total. A real account may have a slightly different final payment to bring the balance to exactly zero. The model also does not include new spending, late fees, annual fees, or changes to APR, so any of these can move the actual payoff date and cost.

Frequently Asked Questions

Does the calculator include new purchases?
No. It assumes the balance only declines through the scheduled payments, with no additional charges.

Should I enter my APR or monthly rate?
Enter the annual percentage rate as a percentage, such as 20 for 20% APR; the calculation converts it to a monthly rate.

Why might my card statement show different interest?
Statements may reflect daily balance calculations, transaction-specific APRs, fees, payment timing, or rate changes that this simplified estimate does not model.

Is the displayed payment the issuer’s required minimum?
No. It is an estimated level payment intended to repay the entered balance over the selected period, not a minimum-payment calculation.

What if I pay a different amount each month?
This calculator assumes equal payments, so it cannot accurately estimate a varying-payment schedule.

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

Final Thoughts

A 36-month estimate gives a clear monthly-payment target based on a balance and APR, while leaving out the account-specific details that affect real statements. Use current account information and revisit the calculation when those inputs change.

Related

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