Budgeting & Debt
How To Calculate Minimum Payments
Most cards set the minimum as the greater of a percentage of the balance or a flat amount, and interest accrues on the rest. Paying only that minimum can keep a balance alive for years.
Quick Answer
Minimum = max(Balance x Percent, Flat); Months = -ln(1 - r x B / P) / ln(1 + r)
- B
- Card balance
- Percent
- Minimum payment percentage
- Flat
- Flat minimum the card applies
- P
- Payment made each month
The minimum is the larger of a percentage of the balance and a flat floor. At a 3 percent minimum with a 25 floor a 3,000 balance owes 90, and at 24 percent APR that payment clears the balance in about 55 months and costs roughly 1,993 in interest.
What Is Minimum Payments?
A minimum payment is the smallest amount a card issuer will accept each month without marking the account delinquent. It is set as the greater of a percentage of the balance or a flat floor, so on small balances the floor applies and on large ones the percentage does.
The percentage is usually between one and three percent of the statement balance. It sounds modest, but at two percent on a high-APR card the payment can be barely above the monthly interest, which is why the balance appears frozen.
The flat floor exists so that a tiny balance still produces a payment worth processing. It is typically twenty-five to thirty-five dollars, and it only binds when the percentage would produce less.
The monthly interest is the balance multiplied by the APR and divided by twelve. Comparing it with the minimum shows how much of the payment is consumed before any principal is repaid, which is the single most useful comparison on a card statement.
If the payment equals the interest, the balance never falls. That is the mathematical trap of the minimum: the account stays current while the debt is effectively permanent, which is why the payoff time is often described as never.
If the payment exceeds the interest, the balance falls by the difference each month, and the payoff time can be worked out with the standard amortisation formula rearranged for the number of periods.
Adding even a small extra payment has an outsized effect. Because the formula is non-linear, an extra twenty or thirty dollars a month can cut years off the payoff, which is why the extra payment field matters more than it looks.
The payoff estimate in this calculator assumes the payment stays at the first month's minimum. In reality the percentage minimum falls as the balance falls, which makes the real payoff longer than the estimate.
A fixed payment larger than the minimum avoids that drift entirely. Choosing a round figure such as two hundred dollars a month makes the payoff predictable and usually much faster.
The total interest is the number that makes the trap concrete. On a three thousand dollar balance it can approach or exceed the original debt, meaning the cardholder pays for the purchase twice.
Paying the statement balance in full each month avoids interest altogether, provided the grace period applies. The minimum only matters to those already carrying a balance.
The order in which a payment is applied matters more than it sounds. Issuers typically apply the payment to interest, fees and the lowest-rate balances first, which means a promotional balance can sit untouched while a standard-rate balance is repaid. Reading the allocation rules in the agreement explains why a balance sometimes falls more slowly than expected.
Reviewing the statement each month for the split between interest and principal is a simple habit that changes behaviour. When the interest line is close to the payment line, the account is barely moving, and that is the moment to increase the payment rather than wait for a better month.
The calculator models the figures entered and nothing more. It does not know the issuer's exact rounding, the order in which payments are applied or any promotional rate. Treat the output as an estimate and confirm against a statement.
Formula
Minimum = max(Balance x Percent, Flat)
The card applies whichever of the two rules gives the larger payment.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| B | Balance | currency | Statement balance on the card. |
| p | Minimum percent | rate | Percentage the issuer applies. |
| F | Flat minimum | currency | Floor the issuer applies. |
Months = -ln(1 - r x B / P) / ln(1 + r)
The standard amortisation formula solved for the number of payments.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| r | Monthly rate | rate | APR divided by twelve. |
| B | Balance | currency | Statement balance on the card. |
| P | Payment | currency | Amount paid each month. |
How To Calculate Minimum Payments
- 1
Compute the percentage minimum
Multiply the balance by the minimum percentage the card uses.
- 2
Compare with the flat floor
The minimum due is the greater of the percentage figure and the flat amount.
- 3
Work out this month's interest
The balance times the APR divided by twelve shows how much of the payment is consumed by interest.
- 4
Add any extra payment
The amount actually paid is the minimum plus whatever extra you choose to add.
- 5
Solve for the payoff time
The number of months follows from the amortisation formula, and multiplying by the payment gives the total interest.
Examples
Example 1: 3,000 balance at 24 percent, 3 percent minimum
- Credit card balance
- 3,000
- Minimum payment percent
- 3%
- Minimum flat amount
- 25
- APR
- 24%
- Extra payment
- 0
| Step | Calculation | Result |
|---|---|---|
| Minimum payment | max(3,000 x 0.03, 25) | 90 |
| Interest this month | 3,000 x 0.24 / 12 | 60 |
| Months to clear | -ln(1 - 0.02 x 3,000 / 90) / ln(1.02) | 55.48 |
| Total interest | 90 x 55.48 - 3,000 | 1993.03 |
| Years to clear | 55.48 / 12 | 4.62 |
Result: The minimum is 90 and the interest this month is 60, so the balance clears in about 55.48 months at a total interest cost of 1993.03, which is 4.62 years.
Example 2: The same card with a 60 dollar extra payment
- Credit card balance
- 3,000
- Minimum payment percent
- 3%
- Minimum flat amount
- 25
- APR
- 24%
- Extra payment
- 60
| Step | Calculation | Result |
|---|---|---|
| Minimum payment | max(3,000 x 0.03, 25) | 90 |
| Payment with extra | 90 + 60 | 150 |
| Months to clear | -ln(1 - 0.02 x 3,000 / 150) / ln(1.02) | 23.18 |
| Total interest | 150 x 23.18 - 3,000 | 477.05 |
| Years to clear | 23.18 / 12 | 1.93 |
Result: Paying 150 a month instead of 90 cuts the payoff to about 23.18 months and the interest to 477.05, so the payoff is 1.93 years instead of 4.62.
Calculator
Minimum payment
$90.00
- Interest this month
- $60.00
- Months to clear (0 = never)
- 55.4781
- Total interest if minimum only
- $1,993.03
Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.
Prefer a full-width tool? Open the Minimum Payments calculator page.
Common Mistakes
Assuming the minimum clears the card eventually
At a two percent minimum on a high APR the payment can equal the interest, leaving the balance unchanged indefinitely.
Ignoring that the minimum falls over time
The percentage minimum is recalculated on a shrinking balance, so the payment drops each month and the payoff stretches out. This calculator assumes a fixed payment, so the real payoff is longer.
Making only the minimum on several cards
Running minimums on multiple cards spreads a small payment across several balances, so none of them falls meaningfully.
Missing the effect of new spending
New purchases add to the balance and can offset the principal repaid by the minimum, so the balance appears static even when payments are made.
Not checking the flat floor
On a small balance the flat minimum is the binding rule. Assuming the percentage applies understates the payment due.
Overlooking a penalty APR
A missed payment can raise the rate sharply, which pushes the minimum closer to the interest and lengthens the payoff further.
Never modelling an extra payment
Because the payoff formula is non-linear, a modest extra payment cuts months or years off the schedule. Not testing it leaves free progress on the table.
FAQ
How is the minimum payment calculated?
It is the greater of a percentage of the balance and a flat floor amount. The percentage usually applies to larger balances and the floor to smaller ones.
Why does the minimum barely reduce my balance?
On a high APR most of the payment covers the monthly interest. Only the part above the interest reduces principal, so the balance falls very slowly.
Is it bad to pay only the minimum?
It keeps the account current but extends the debt for years and costs a large amount of interest. Paying more than the minimum is the only way to clear the balance quickly.
How much extra should I pay?
Even twenty or thirty dollars a month makes a disproportionate difference because the payoff formula is non-linear. Use the extra payment field to see the effect on your own numbers.
Does the minimum change each month?
Yes. The percentage is recalculated on the declining balance, so the minimum usually falls over time, which is why this estimate assumes a fixed payment and slightly understates the payoff time.
What if my payment is less than the interest?
The balance grows rather than falls. The calculator reports zero months in that case because the payment as entered never clears the debt.
References
- [1]Consumer Financial Protection Bureau, Credit card minimum payments — https://www.consumerfinance.gov/consumer-tools/credit-cards/
- [2]Consumer Financial Protection Bureau, Understanding credit card terms — https://www.consumerfinance.gov/ask-cfpb/category-credit-cards/
- [3]Investopedia, Amortisation and loan payments — https://www.investopedia.com/terms/a/amortization.asp