How It Works
The payoff formula n = −log(1 − r×B/P) / log(1+r) derives from the present value of an annuity equation.
n = −log(1 − r×B/P) ÷ log(1+r) | r = monthly rate, B = balance, P = monthly payment
- If monthly payment ≤ balance × monthly rate, the debt is never paid off (result shown as 9,999 months).
- Actual amortization loop confirms total interest by tracking remaining balance month by month.
- Minimum payment comparison uses 2% of balance or $25, whichever is greater — a common issuer formula.
Worked Example
A $5,000 balance at 22% APR with a $200 monthly payment:
APR
22% (monthly rate: 1.833%)
Monthly interest accrual
$91.67
Months to payoff
34 months (~2.8 years)
Paying $200/month, you’ll be debt-free in about 34 months and pay roughly $1,750 in interest. In month one, about $92 of your $200 payment goes to interest and only $108 reduces the balance — paying even a little more each month shortens this noticeably and cuts the interest.
How to Pay Off Credit Card Debt Faster
How payoff time depends on your payment
On a credit card, each month interest is charged on the balance you carry, and only the part of your payment left over after that interest reduces what you owe. The larger your monthly payment relative to the balance, the more goes to principal and the faster the balance falls.
This is why payoff time is so sensitive to the payment amount. Raising the monthly payment even modestly shifts more of every payment toward principal, which compounds month after month. Use the calculator to compare a few payment amounts and watch the months and total interest drop.
Why paying more than the minimum matters
Minimum payments are typically set at just 1-3% of the balance plus interest. Because the minimum shrinks as the balance shrinks, the payoff stretches out for years and total interest piles up. The minimum is designed to keep the account in debt, not to get you out of it.
Paying a fixed amount that is higher than the minimum, and not letting it fall as the balance drops, is one of the most effective moves available. Even a small fixed increase can take years off the timeline and save a meaningful amount of interest.
Avalanche vs snowball with multiple cards
If you carry more than one balance, two popular strategies can help. The avalanche method sends extra money to the highest-rate card first, which minimizes total interest. The snowball method targets the smallest balance first to score a quick win and build momentum.
Avalanche saves the most money; snowball can be easier to stick with. Either way, keep paying at least the minimum on every card to avoid penalties, and focus your extra cash on one target card at a time.
Balance transfers and consolidation
A 0% introductory balance-transfer card can pause interest for a set window so your whole payment attacks principal. Weigh the transfer fee, often 3-5% of the amount moved, and the regular rate that applies once the promotion ends. A fixed-rate personal loan can also consolidate several balances at a single, often lower, rate.
These tools help only if you stop adding new charges. Used carelessly, they can free up a card and quietly grow your total debt instead of shrinking it.
Avoiding new charges while you pay down
Progress stalls if new spending refills the balance you are working to clear. While you focus on payoff, it helps to pause discretionary use of the card and lean on a simple spending plan or a debit-based budget for everyday purchases.
If you still want the card active for small recurring bills, consider charging just one predictable expense and paying it in full each month. That keeps the account healthy without adding to the balance you are trying to eliminate.
Staying motivated through payoff
Paying down debt is a long game, so visible progress matters. Tracking the falling balance, celebrating each card cleared, or watching the payoff months shrink in this calculator can keep you going when motivation dips.
Small, automatic payments scheduled right after payday remove willpower from the equation. Automating the fixed amount you chose makes steady progress the default rather than a monthly decision.
When to seek nonprofit credit counseling
If the minimum payments are a strain, balances keep climbing, or you are relying on cards for everyday essentials, it may be time for outside help. A reputable nonprofit credit counseling agency can review your budget and, in some cases, set up a debt management plan.
This calculator is an educational estimate. Your statement and cardholder agreement are the source of truth for exact interest, fees, and minimum-payment rules.
Sources & References
Figures on this page are checked against primary, authoritative sources. Links open in a new tab.