Credit Card Minimum Payment Calculator
Visualize the debt trap of minimum payments. Compare payoff times and interest costs between minimums and fixed monthly payments.
Card Details
Optimization
See the effect of paying a fixed amount instead of the declining minimum.
About
Paying only the minimum on a credit card is designed to keep borrowers in debt for decades. This tool exposes the mechanics of revolving debt. Credit card issuers typically calculate the minimum payment as a small percentage of the total balance plus accrued interest. As the balance decreases so does the payment amount slowing down the principal reduction to a crawl.
The mathematical consequence is that the final few hundred dollars of debt can take years to clear. This calculator generates two trajectories: the Minimum Payment path and a Fixed Payment Goal path. Users can visualize how adding a small fixed amount to their monthly contribution drastically reduces the Time to Payoff and saves thousands in Total Interest. This is essential for anyone strategizing to become debt-free.
Formulas
The minimum payment is a dynamic value calculated every month. It generally follows this logic:
MinPay = max(Floor, Balance ร % + Interest)
Because the payment drops as the balance drops the curve flattens. The standard amortization formula does not apply here. We must simulate the payoff iteratively month by month.
Reference Data
| Variable | Symbol | Typical Value |
|---|---|---|
| Balance | B | Current Debt |
| Annual Rate | APR | 15% to 29% |
| Daily Rate | DPR | APR รท 365 |
| Min Pay Floor | Floor | $25 to $35 |
| Min Pay Rate | Ratemin | 1% to 3% |
| Interest Charge | I | B ร DPR ร 30 |
| Principal Pay | P | Payment โ I |
| Payoff Time | T | Can exceed 20 years |