How the Credit Card Interest Calculator works
Credit card issuers typically charge interest monthly on whatever balance remains after your last payment, using the formula monthly interest = balance × (APR ÷ 12). That interest is added to your balance before your next payment is applied, then the cycle repeats until the balance reaches zero. This calculator runs that exact month-by-month simulation using the balance, APR, and monthly payment you enter, which is the same simplified monthly-compounding method behind the minimum-payment payoff estimate required in the disclosure box on U.S. credit card statements.
The month-by-month calculation
Each simulated month follows two steps: first, interest = balance × (APR / 12 / 100) is added to the balance; second, your monthly payment is subtracted. The calculator repeats this until the balance is fully paid off, tracking how many months it takes and how much interest accumulates along the way.
Why the payment amount matters so much
- Payment above the interest: if your payment exceeds the monthly interest charge, the balance shrinks a little more each month, which lowers next month's interest charge too — the payoff accelerates.
- Payment near the interest: if your payment barely covers the interest, principal reduction is slow and the payoff can stretch out for years, with total interest sometimes exceeding the original balance.
- Payment at or below the interest: the balance stops shrinking and can grow instead (negative amortization) — the calculator flags this case rather than showing a payoff time.
Worked example
A $5,000 balance at 22.99% APR with $200 paid every month accrues roughly $96 of interest in the first month alone (5000 × 22.99% / 12). Because $200 comfortably covers that interest, the balance falls and each later month's interest charge is a little smaller, until the balance is paid off after a couple of years with several hundred dollars of total interest along the way — the calculator gives you the exact figures for your own numbers.
What this does not include
This is a payoff-time and interest-cost calculator, not a full statement simulator: it assumes no new purchases, cash advances, fees, or promotional 0% periods, and it uses monthly compounding rather than the daily compounding many issuers apply to the average daily balance. Treat the result as a close, standard approximation rather than a duplicate of your next statement.