Credit Card Payoff Calculator
How It Works
Credit card debt is one of the most expensive forms of borrowing. The average credit card APR in the United States hovers around 20-24%, which means a $5,000 balance accumulates roughly $92 in interest every single month — even if you don't make a single new purchase. That's the trap: without a clear payoff plan, minimum payments barely cover the interest, and balances can persist for years.
This calculator shows you exactly what your payment plan will cost — in months and in total interest. Enter your current balance, the card's APR, and the monthly payment you can commit to. The results show your payoff timeline and the total interest you'll pay at that payment level.
The minimum payment trap is real and worth understanding. Credit card issuers typically set minimum payments at 1-2% of the balance (or a small fixed amount, whichever is higher). On a $5,000 balance at 22% APR, a minimum payment around $100-$110 barely covers the monthly interest of ~$92. At that rate, it could take over 20 years and thousands of dollars in interest to reach a zero balance — not because the debt is large, but because compounding interest works against you every month you carry a balance.
The most powerful thing you can do with this calculator: increase the monthly payment number and watch the payoff date move dramatically closer. Going from $150 to $250 per month on a $5,000 balance at 22% APR cuts years off your timeline and saves hundreds in interest. The interest savings from paying more each month are immediate and compounding — every dollar of extra payment reduces the balance that next month's interest is calculated on.
If your monthly payment is less than the monthly interest charge, the balance will grow every month regardless of payments — this calculator will warn you when that's the case and show you the minimum payment needed to make actual progress on the debt.
Formula Breakdown
Credit card payoff uses the fixed-payment formula: Months = -log(1 - (Balance × r) / Payment) / log(1 + r) Where: - Balance = Current outstanding balance - r = Monthly rate (APR ÷ 12 ÷ 100) - Payment = Fixed monthly payment amount - log = Natural logarithm For example, $5,000 at 22% APR with $150/month: - r = 22% / 12 = 1.8333% per month (0.018333) - Monthly interest = $5,000 × 0.018333 = $91.67 - Months = -log(1 - (5,000 × 0.018333) / 150) / log(1 + 0.018333) - Months ≈ 52 months (ceiling, since you can't make a partial month payment) CRITICAL: If your monthly payment is less than or equal to the monthly interest charge, the balance will never decrease — it will grow every month. Your payment must exceed the monthly interest to make any principal progress.
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