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How to use this calculator#
- Enter the statement balance, not the credit limitUse the balance you are actually carrying. If you have several cards, run each one separately — the highest-APR card is where every spare dollar should go first, and averaging the rates hides that.
- Use the purchase APR from your statementCash advance and balance transfer APRs are usually higher and start accruing immediately with no grace period. If your balance is a mix, model the expensive slice on its own.
- Enter a payment you will actually make every monthA fixed payment is what makes payoff finite. Paying the shrinking minimum instead means the payment falls as the balance falls, which is precisely why minimum-only repayment takes decades.
- Check the first-month interest figureThe tool shows the interest charged in month one — $95.42 on this example. Only the amount you pay above that reduces the balance. Pay less than it and the debt grows no matter how disciplined you feel.
- Stop spending on the card while you model itThe projection assumes no new purchases. A payoff plan that runs alongside continued spending on the same card is not a payoff plan, it is a slower version of standing still.
The formula#
Fixed-payment revolving balance payoff
Interestₘ = Bₘ₋₁ × (APR ÷ 12) Bₘ = Bₘ₋₁ + Interestₘ − Payment n = −ln(1 − B·r ÷ P) ÷ ln(1 + r)
- B
- Balance outstanding
- r
- Monthly periodic rate: APR ÷ 12, as a decimal
- P
- Fixed monthly payment
- n
- Number of months to clear the balance
- APR
- Annual percentage rate on the card
The closed form only has a solution when P > B × r — when your payment exceeds the first month's interest. Below that the logarithm is undefined and the debt is mathematically unpayable, which is what the calculator's warning means. Most issuers actually accrue daily at APR ÷ 365 on the average daily balance, which produces figures very slightly above the monthly model used here.
Why card interest bites so hard#
Card interest is normally charged daily on the average daily balance at APR divided by 365, then billed monthly, so it effectively compounds. A 5,000 balance at 22.9% accrues roughly 95 of interest in the very first month. Paying 150 a month clears it in about 54 months and costs around 3,020 in interest — some 60% of what you originally borrowed, on top of repaying the balance itself.
Raising that payment to 250 cuts the term to 26 months and the interest to roughly 1,360. Because only the portion above the monthly interest charge reduces the balance, every extra unit works far harder than it appears: that additional 100 a month saves about 1,660 here, and the saving grows with the rate.
The minimum payment trap#
Minimums are typically 1-3% of the balance or a small floor amount, deliberately structured so most of the payment covers interest. If your payment is equal to or below the monthly interest charge, the balance never falls and payoff is mathematically impossible — this calculator flags that case rather than printing an absurd number. Even a payment slightly above interest can take decades to clear.
Faster ways out of card debt#
A 0% balance transfer buys 12-24 interest-free months for a fee near 3%, but it only helps if you clear most of the balance before the promotional rate expires. With several cards, the avalanche method — minimums everywhere, everything spare at the highest APR — costs least, while the snowball method of killing the smallest balance first builds momentum. Ringing your issuer to request a lower rate is free and works more often than people expect.
Worked examples#
$5,000 at 22.9% paying $150 a month
A typical carried balance with a fixed payment well above the minimum.
- Monthly rate r = 0.229 ÷ 12 = 0.0190833
- Month 1 interest = 5,000 × 0.0190833 = 95.42
- Balance after month 1 = 5,000 + 95.42 − 150 = 4,945.42
- Only 150 − 95.42 = 54.58 of the first payment touched the debt
- Repeating until the balance hits zero takes 54 months
- Total interest = 3,021.92; total repaid = 8,021.92
4 years 6 months and $3,021.92 of interest — 60.4% of the original balance added on top of repaying it.
What one extra $100 a month is worth
The same balance and APR, but paying $250 instead of $150.
- At $250, month 1 puts 250 − 95.42 = 154.58 against the balance instead of 54.58
- Payoff falls from 54 months to 26 months
- Total interest falls from 3,021.92 to 1,358.22
- Saving = 3,021.92 − 1,358.22 = 1,663.70
- Extra paid in over the shorter period = 100 × 26 = 2,600
$1,663.70 saved and 28 months of your life returned, for an extra $100 a month over just over two years. Nothing above the minimum is wasted, because it all lands on principal.
Reference tables#
| Monthly payment | Months to clear | In years | Total interest | Total repaid |
|---|---|---|---|---|
| $100 | 164 | 13 yr 8 mo | $11,307.83 | $16,307.83 |
| $110 | 107 | 8 yr 11 mo | $6,758.02 | $11,758.02 |
| $125 | 77 | 6 yr 5 mo | $4,529.53 | $9,529.53 |
| $150 | 54 | 4 yr 6 mo | $3,021.92 | $8,021.92 |
| $200 | 35 | 2 yr 11 mo | $1,859.78 | $6,859.78 |
| $250 | 26 | 2 yr 2 mo | $1,358.22 | $6,358.22 |
| $300 | 21 | 1 yr 9 mo | $1,075.70 | $6,075.70 |
| $400 | 15 | 1 yr 3 mo | $767.46 | $5,767.46 |
| $500 | 12 | 1 yr 0 mo | $601.58 | $5,601.58 |
The jump from $100 to $110 a month — ten dollars — cuts 57 months and $4,550 of interest, because at $100 barely anything was reaching the principal.
| APR | Months to clear | Total interest | Total repaid |
|---|---|---|---|
| 0% (promotional) | 34 | $0.00 | $5,000.00 |
| 9.9% | 40 | $871.14 | $5,871.14 |
| 14.9% | 44 | $1,494.16 | $6,494.16 |
| 17.9% | 47 | $1,966.20 | $6,966.20 |
| 19.9% | 49 | $2,338.96 | $7,338.96 |
| 22.9% | 54 | $3,021.92 | $8,021.92 |
| 25.9% | 60 | $3,928.47 | $8,928.47 |
| 29.9% | 73 | $5,819.81 | $10,819.81 |
Between 22.9% and 29.9% the interest bill nearly doubles on the same payment. Asking your issuer for a rate reduction costs one phone call and is granted more often than people assume.
| APR | Monthly rate | Interest on $1,000 | Interest on $5,000 | Interest on $10,000 |
|---|---|---|---|---|
| 12% | 1.000% | $10.00 | $50.00 | $100.00 |
| 15% | 1.250% | $12.50 | $62.50 | $125.00 |
| 18% | 1.500% | $15.00 | $75.00 | $150.00 |
| 20% | 1.667% | $16.67 | $83.33 | $166.67 |
| 22.9% | 1.908% | $19.08 | $95.42 | $190.83 |
| 25% | 2.083% | $20.83 | $104.17 | $208.33 |
| 28% | 2.333% | $23.33 | $116.67 | $233.33 |
| 30% | 2.500% | $25.00 | $125.00 | $250.00 |
This is the break-even line, not a target. A payment of $96 on a $5,000 balance at 22.9% reduces the debt by 58 cents in the first month, so the practical minimum is several times these figures.
Common mistakes#
- Paying the minimum because it is the number printed on the statementA typical minimum of 1% of the balance plus interest starts at $145.42 on this $5,000 balance and then shrinks every month as the balance falls. That structure stretches payoff to 199 months — over 16 years — and costs $8,018 of interest. Paying that same $145.42 as a fixed amount clears it in 57 months instead.
- Making a payment at or below the monthly interestAt 22.9% on $5,000, interest is $95.42 a month. A $95 payment leaves the balance higher than it started. The calculator refuses to print a payoff date in this case rather than showing an absurd number, and the fix is always a bigger payment, never more patience.
- Taking a balance transfer and then relaxingA 3% fee on $5,000 is $150 and buys, say, 18 interest-free months — a genuine bargain against the $1,141 of interest the same 18 months would otherwise cost. But clearing $5,150 in 18 months needs $286.11 every month. Miss that and the residual balance reverts to a rate that is often higher than the one you left.
- Continuing to spend on the card being paid downNew purchases usually lose the interest-free grace period entirely once a balance is carried, and payment allocation rules mean money above the minimum goes to the highest-rate portion first — so a promotional balance can sit untouched while you pay interest on groceries.
Frequently asked questions#
What happens if I only pay the minimum?
On a typical card the balance can take 15-25 years to clear and the interest often exceeds the amount originally borrowed. Any fixed payment above the minimum shortens this dramatically.
Why does it say my balance will never be paid off?
Your monthly payment is not larger than the interest charged that month, so the balance stays flat or grows. Increase the payment above the monthly interest figure shown.
Is a balance transfer worth the fee?
Usually yes if you can clear most of the balance inside the 0% window. A 3% fee on 5,000 is 150, far less than a single year of interest at 22%.
Does paying twice a month help?
Slightly, because interest accrues daily and a mid-cycle payment lowers the average daily balance. The far bigger effect comes from paying more in total.
Key terms#
- APR (annual percentage rate)
- The yearly interest rate on the card. Divide by 12 for the monthly periodic rate, or by 365 for the daily rate most issuers actually apply.
- Average daily balance
- The base most issuers charge interest on: the balance on each day of the cycle, averaged. It is why paying mid-cycle helps a little and paying more helps a lot.
- Grace period
- The window in which paying the statement balance in full avoids interest on purchases entirely. Carrying a balance normally suspends it until you clear the card.
- Minimum payment
- The smallest amount that keeps the account current — typically 1–3% of the balance, or a percentage plus interest, subject to a small floor. Designed to keep the debt alive, not to end it.
- Balance transfer
- Moving a balance to a card offering 0% for a promotional window, usually for a fee of 2–5% of the amount moved. Only worth it if most of the balance clears before the window closes.
- Avalanche vs snowball
- Avalanche pays the highest APR first and costs the least in interest. Snowball pays the smallest balance first and produces quicker visible wins. Avalanche is cheaper; snowball is more often finished.
Sources#
- Credit cards — how interest and minimum payments work — Consumer Financial Protection Bureau
- Consumer Credit — G.19 statistical release (credit card interest rates) — Federal Reserve Board
- Truth in Lending (Regulation Z) — payment allocation and disclosure rules — Consumer Financial Protection Bureau
Figures last checked .
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