Credit Card Payoff Calculator: The Minimum Payment Trap, Priced
A $5,000 balance at 22% APR takes ~19 years and $8,100 in interest if you only pay the minimum — versus under 3 years on a fixed $200/month. Enter your balance, APR, and a monthly payment to see the years and interest you'd reclaim. Math runs locally; nothing leaves your browser.
Why the minimum payment is designed to keep you paying
The minimum payment isn't a suggestion to pay slowly — it's the mathematical floor that maximizes the interest you'll pay. On a $5,000 balance at 22% APR, the very first month's interest is about $92. A 1%-of-principal-plus-interest minimum asks for roughly $142 that month, so only ~$50 actually reduces what you owe. As the balance falls, the percentage component shrinks too, so the payment keeps dropping and the payoff stretches to ~19 years and about $8,100 in interest — more than the original balance. Commit a flat $200 every month instead and the same debt clears in under 3 years for around $1,750 in interest.
The reason the CARD Act of 2009 forced issuers to print a "if you pay only the minimum…" box on every statement is exactly this: most people anchor on the minimum without realizing it's a multi-decade plan. The single lever that changes everything is paying a fixed amount that doesn't shrink with the balance.
How the math works
Both strategies are simulated month by month, because the minimum payment depends on the current balance and has no clean closed form:
- Monthly interest = balance × (APR ÷ 12). At 22% APR that's ~1.833% of the balance each month.
- Minimum payment = the greater of a dollar floor (≈$25-$35) or (a percentage of principal + that month's interest). Default here: 1% + interest, $25 floor.
- Fixed payment = the same dollar amount every month until the balance hits zero.
- Each month: new balance = balance + interest − payment. Repeat until cleared. Interest saved = minimum-strategy total interest − fixed-strategy total interest.
Source: CFPB — what is a credit card minimum payment, the Federal Reserve G.19 consumer credit data (average assessed APR above 22% since 2024), and the CARD Act 2009 minimum-payment disclosure requirement.
The simplification: real issuers compound on the average daily balance, not once a month, and may use a slightly different minimum formula (some use a flat 2-3% of balance, which pays off faster but starts higher). The monthly model here lands within a few percent of statement reality for a steady balance and overstates nothing in your favor.
Math runs locally. Inputs never leave your browser. Source on github.
Where this calculation doesn't apply
- You have a 0% promotional APR. During an intro period there's no interest, so the math is just balance ÷ months left. The real question becomes whether you'll clear it before the promo ends — after which the rate can jump to 25%+ on the remaining balance. A balance-transfer comparison fits that decision better.
- You're juggling several cards. This tool models one balance. With multiple debts, the order you attack them in matters — highest-APR-first (avalanche) minimizes interest, smallest-balance-first (snowball) maximizes momentum. Use the Debt Payoff Strategy tool for the multi-card sequencing.
- You keep charging to the card. The model assumes no new purchases. If you add to the balance faster than you pay it down, no payment schedule clears it — the first fix is to stop the inflow, not to optimize the payment.
- A penalty APR has kicked in. Miss payments and many cards raise the rate to ~29.99% on the existing balance. If that's happened, call the issuer first — getting the rate reset usually beats any payment tweak.
What to actually do
- Pull your real balance and APR off your latest statement — don't estimate. The APR box and the "minimum payment warning" box are both printed there.
- Set a fixed monthly payment you can sustain and never let it shrink, even as the balance falls. That single habit is what collapses the payoff from years to months.
- If you have multiple cards, run the Debt Payoff Strategy tool to decide the order — then bring the per-card target back here.
- Before throwing every spare dollar at the card, keep a small cash buffer so a surprise expense doesn't put you right back on the card. The Emergency Fund tool sizes that buffer.
- Call your issuer and ask for a lower APR or a hardship rate. A 5-point cut compounds in your favor every month for the life of the balance.