How the Credit Card Minimum Payment Calculator works
Card issuers do not charge a fixed minimum payment. Instead, they set a rule — usually the greater of a small percentage of your statement balance or a flat dollar floor — and recompute the required payment fresh every month against whatever balance is left. This calculator reproduces that same rule so you can see this month's minimum, and what happens if you keep paying only the minimum going forward.
The formula
For a balance B, a monthly periodic rate r (APR ÷ 12), a minimum-payment percentage p, and a flat floor F, this month's minimum payment is:
Minimum payment = max(B × p, F)
To project the full payoff, the calculator then simulates month by month: it charges interest on the current balance (B × r), applies the same greater-of rule to the current balance to get that month's payment, subtracts the interest portion to find how much principal gets paid down, and repeats until the balance reaches zero — capping the simulation at 50 years (600 months). This mirrors how issuers actually recalculate your due amount every statement cycle as the balance shrinks.
Worked example
Take a $5,000 balance at 22.99% APR with a 2.5% minimum-payment rate and a $25 floor. The first month's interest is about $5,000 × (0.2299 / 12) ≈ $95.79, and the percent-of-balance minimum is $5,000 × 2.5% = $125, which exceeds the $25 floor, so the first payment is $125 — only about $29 of which reduces the principal. Because the required minimum keeps shrinking along with the balance, the payoff drags on for roughly 29 years, and the total interest paid comes out to around $14,000 — nearly three times the original balance.
Why minimum-only payoffs take so long
- The payment shrinks with the balance: unlike a fixed installment loan payment, a percent-of-balance minimum gets smaller every month, so less and less extra goes toward principal over time.
- Interest compounds against a large starting balance: in the early months, most of the minimum payment covers interest rather than reducing what you owe.
- Higher APRs slow payoff further: raising the APR increases the interest charged each month, which eats into the principal portion of an already-shrinking payment.
The minimum-payment trap
If the monthly interest charge is greater than or equal to the calculated minimum payment, no principal gets paid down under minimum payments alone, and the balance can stagnate or grow. This calculator flags that condition and stops the simulation at the 50-year cap rather than projecting an unrealistic payoff date. Paying a fixed amount above the minimum — rather than letting the required payment shrink with the balance — is the standard way to avoid this trap and cut both time and interest; this tool does not model fixed extra payments, so pair it with a payoff calculator that does if you want to test that scenario.