Finance & Money
Credit Card Payoff Calculator
Use this credit card payoff calculator to test whether a monthly payment is enough to reduce a balance and how long payoff may take.
Months to payoff
—
- Total interest
- —
- Total paid
- —
Student quick launch
Grade planning, algebra checks, and formulas students reach for most.
Study path
Use this calculator with
Follow these when you want the formula behind the answer, a short lesson, or nearby tools in the same topic.
What this credit card payoff calculator solves
Given a card balance, an APR, and a fixed monthly payment, it estimates how many months payoff takes and how much of your money goes to interest. Each month the card charges interest on the remaining balance first; only what is left of your payment reduces the balance. That is why small payments can stretch payoff out for years.
The payoff-time formula
B is the starting balance, P is the fixed monthly payment, and i is the monthly interest rate (APR divided by 12). The logarithm appears because the balance shrinks by a changing amount each month: early payments are mostly interest, later payments are mostly principal.
| Monthly payment | Est. payoff time | Est. total interest |
|---|---|---|
| $100 | ~96 months (8 years) | ~$5,100 |
| $200 | ~30 months | ~$1,500 |
| $400 | ~13 months | ~$700 |
| $82.50 or less | Never | Grows without limit |
The table above is a worked illustration for a $4,500 balance at 22% APR with no new purchases. Rounding the payoff month up means the final payment is usually smaller than the rest, so real totals come in slightly under these estimates.
Why minimum payments are slow
A $4,500 balance at 22% APR accrues about $82.50 of interest in the first month (4,500 x 0.22 / 12). A $100 payment leaves only $17.50 to reduce the balance. A $200 payment applies $117.50 to the balance — nearly seven times the principal reduction for double the payment.
This model assumes a fixed APR, a fixed payment, and no new charges. Promotional rates that expire, new purchases, and fees all change the real timeline, so treat the output as an estimate for comparing payment scenarios, not a payoff promise.
How to use it
- Enter balance.
- Enter APR.
- Enter a fixed monthly payment.
How to read the answer
Higher fixed payments reduce both payoff time and total interest.
Common mistakes and edge cases
- Minimum payments can stretch payoff for years.
- New purchases are not included.
- APR can change with card terms.
Worked examples
Fixed payment payoff
Months to payoff
30 months
Too-low payment check
Months to payoff
Error
Frequently asked questions
Does this include new purchases?+
No. It assumes no new charges and a fixed monthly payment.
Why can payoff be impossible?+
If the payment does not cover monthly interest, the balance will not shrink.
Related calculators
Debt Payoff Calculator
Estimate payoff time and interest for a debt balance using APR and a fixed monthly payment.
Debt Snowball Calculator
Build a simple debt snowball plan from multiple balances, APRs, minimum payments, and extra monthly payment.
Loan Calculator
Calculate fixed-rate loan payment, total interest, payoff time with extra payments, or reverse-solve loan amount from a monthly payment.
Compound Interest Calculator
Calculate investment growth with compound interest, regular contributions, inflation adjustment, or reverse-solve the monthly contribution needed for a target.
Mortgage Calculator
Estimate mortgage payment, PITI, PMI, total interest, first-month amortization, or reverse-solve home affordability from a target payment.
Tip Calculator
Calculate tip, tax, rounded totals, and per-person split, or find the tip percentage from a known tip amount.
Last updated: May 8, 2026