---
title: "Credit Card Payoff Calculator | Method Calculator"
description: "See how long it takes to pay off a credit card balance at a given monthly payment, or the payment needed to be debt-free by a target month, with total interest."
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> Index of every page on this site: [llms.txt](https://methodcalculator.com/llms.txt)

# **Credit Card Payoff Calculator**

Enter your card balance, the APR and what you pay each month to see how many months it will take to be debt-free and how much interest you will pay. Or set a target number of months to find the payment you need.

## **Result**

Time to pay off

**47 months**

<dl>

<dt>That is</dt>
<dd>3 years 11 months</dd>

<dt>Payoff date</dt>
<dd>October 3, 2030</dd>

<dt>Total paid</dt>
<dd>$6,983.60</dd>

<dt>Total interest</dt>
<dd>**$1,983.60**</dd>

<dt>Interest as % of balance</dt>
<dd>39.7%</dd>

</dl>

**Month-by-month payoff schedule**

| **Month** | **Payment** | **Interest** | **Principal** | **Balance** |
| --- | --- | --- | --- | --- |
| 1 | $150.00 | $75.00 | $75.00 | $4,925.00 |
| 2 | $150.00 | $73.88 | $76.13 | $4,848.88 |
| 3 | $150.00 | $72.73 | $77.27 | $4,771.61 |
| 4 | $150.00 | $71.57 | $78.43 | $4,693.18 |
| 5 | $150.00 | $70.40 | $79.60 | $4,613.58 |
| 6 | $150.00 | $69.20 | $80.80 | $4,532.78 |
| 7 | $150.00 | $67.99 | $82.01 | $4,450.78 |
| 8 | $150.00 | $66.76 | $83.24 | $4,367.54 |
| 9 | $150.00 | $65.51 | $84.49 | $4,283.05 |
| 10 | $150.00 | $64.25 | $85.75 | $4,197.30 |
| 11 | $150.00 | $62.96 | $87.04 | $4,110.26 |
| 12 | $150.00 | $61.65 | $88.35 | $4,021.91 |

## How credit card interest accrues

A credit card charges interest on whatever balance you carry past the due date. The rate is quoted as an annual percentage rate (APR), but it is applied in small slices: the issuer divides the APR by 365 for a daily rate, or by 12 for a monthly one, and adds the interest to your balance at the end of each billing cycle. On a $5,000 balance at 18% APR the monthly rate is 1.5%, so the first month costs 5,000 × 0.015 = **$75** in interest. If you pay $150, only $75 reduces the debt, leaving $4,925. Next month the interest is a little lower, $73.88, and a little more of your payment reaches the principal. The balance shrinks slowly at first and faster toward the end.

## Payoff formula and worked example

With a fixed monthly payment P, a balance B and a monthly rate r = APR ÷ 12, the number of months to pay off is:

**n = −ln(1 − r × B ÷ P) ÷ ln(1 + r)**, rounded up to a whole month

**Example:** B = $5,000, APR 18% so r = 0.015, P = $150. r × B ÷ P = 75 ÷ 150 = 0.5. ln(1 − 0.5) = −0.6931 and ln(1.015) = 0.01489, so n = 0.6931 ÷ 0.01489 = 46.55, which rounds up to **47 months**, or 3 years and 11 months. The first 46 payments are $150 and the last is $83.60, for a total of $6,983.60, of which **$1,983.60** is interest: almost 40% of the original balance.

If the payment is no larger than the first month's interest (here $75), the formula has no solution: the balance never falls. To go the other way and find the payment that clears the balance in a chosen number of months, the calculator uses the standard loan formula **P = B × r ÷ (1 − (1 + r)<sup>−n</sup>)**. Clearing $5,000 at 18% in 24 months takes $249.62 a month and costs $990.89 in interest.

## The minimum payment trap

Card issuers set the minimum payment at a small percentage of the balance, commonly 2% with a floor of around $25. On a $5,000 balance at 18% APR the first minimum is $100, of which $75 is interest. Because the minimum falls as the balance falls, the payments stay barely above the interest for years. Paying only the minimum, the balance takes **370 months, nearly 31 years**, to clear and costs about **$12,328 in interest**, two and a half times the amount borrowed. Fixing the payment at the first minimum instead of letting it shrink makes an enormous difference:

| Monthly payment on $5,000 at 18% | Time to pay off | Total interest |
| --- | --- | --- |
| 2% minimum (shrinks each month) | 370 months | $12,328 |
| $100 fixed | 94 months | $4,311 |
| $150 fixed | 47 months | $1,984 |
| $250 fixed | 24 months | $989 |
| $300 fixed | 20 months | $797 |

## How to use this calculator

1. Enter the current balance from your statement and the purchase APR shown on it. If you have several cards, run each one separately.
2. Choose "How long to pay off" and enter the amount you can pay each month, or choose "Payment to pay off in N months" and enter your target, for example 12 months before a holiday or a 0% promotional period ends.
3. Read the payoff time, the date you will be debt-free and the total interest. The schedule shows exactly how each payment splits between interest and principal.
4. Try a higher payment to see how much interest it saves; even $25 a month more shortens the payoff noticeably.

## Strategies to pay off faster

- **Avalanche:** pay the minimum on every card and put all extra money toward the card with the highest APR. This minimizes total interest.
- **Snowball:** target the smallest balance first for quick wins, then roll that card's payment into the next. It costs a little more interest but many people stick with it better.
- **Balance transfer:** moving the balance to a 0% introductory card for 12–21 months stops the interest, usually for a 3–5% fee. $5,000 transferred for a 3% fee costs $150 and then needs about $286 a month to clear in 18 months.
- **Consolidation loan:** a personal loan at a lower fixed rate replaces the card debt with a set end date; compare the payment with the [loan calculator](https://methodcalculator.com/loan-calculator).
- **Pay more often:** two half-payments a month lower the average daily balance that interest is charged on.
- **Ask for a lower rate:** long-standing customers with a good payment record are often given a reduction simply for asking.

The calculator assumes a fixed APR, no new purchases and no fees, and compounds monthly rather than daily. Real statements will differ slightly. For how the same balance grows when left alone, see the [compound interest calculator](https://methodcalculator.com/compound-interest-calculator).

## **Frequently asked questions **

### **Why does paying the minimum take so long?**

Minimum payments are typically 1–3% of the balance, which is barely more than the interest charged each month. On $5,000 at 18% APR, a 2% minimum is $100 but $75 of it is interest, so only $25 reduces the debt. As the balance falls the minimum shrinks too, which stretches the payoff to decades.

### **Is it better to pay off the highest-interest card or the smallest balance first?**

The avalanche method (highest APR first) costs the least in total interest. The snowball method (smallest balance first) clears individual cards sooner, which keeps many people motivated. Either way, pay at least the minimum on every card and put all extra money toward the one you are targeting.

### **How is credit card interest actually calculated?**

Most issuers charge a daily periodic rate (APR ÷ 365) on your average daily balance and add it at the end of the billing cycle. This calculator uses the monthly equivalent, APR ÷ 12, applied to the balance at the start of each month, which gives results within a few dollars of a card statement.

### **Does a balance transfer make sense?**

Often, if you can clear the debt during the promotional 0% period. Transfers usually cost a fee of 3–5% of the amount moved, so $5,000 costs $150–$250 up front. Compare that with the total interest shown here at your current APR, and make sure the new card does not tempt you into new spending.

### **What happens if I keep using the card while paying it down?**

New purchases are added to the balance and accrue interest from the day they post once you carry a balance, because the grace period on purchases only applies when you paid the previous statement in full. The calculator assumes no new charges; any spending extends the payoff.

## **Related calculators **

- [**Loan Calculator**](https://methodcalculator.com/loan-calculator)
- [**Simple Interest Calculator**](https://methodcalculator.com/simple-interest-calculator)
- [**Compound Interest Calculator**](https://methodcalculator.com/compound-interest-calculator)
- [**Salary Calculator**](https://methodcalculator.com/salary-calculator)

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