Home Back

Credit Card Payment Calculator

Credit Card Payoff Formula:

\[ T = \frac{\log\left(\frac{P}{P - D \times R}\right)}{\log(1 + R)} \]

$
$
%

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Credit Card Payoff Formula?

The credit card payoff formula calculates how long it will take to pay off credit card debt when making fixed monthly payments. It accounts for the principal balance, monthly payment amount, and annual percentage rate (APR).

2. How Does the Calculator Work?

The calculator uses the credit card payoff formula:

\[ T = \frac{\log\left(\frac{P}{P - D \times R}\right)}{\log(1 + R)} \]

Where:

Explanation: The formula calculates how many months it will take to pay off the debt by considering the compounding interest and fixed payment amount.

3. Importance of Payoff Calculation

Details: Understanding your payoff timeline helps with financial planning, debt management, and evaluating different payment strategies to reduce interest costs.

4. Using the Calculator

Tips: Enter your current credit card balance, the fixed monthly payment you can afford, and your card's APR. The calculator will show how long it will take to become debt-free.

5. Frequently Asked Questions (FAQ)

Q1: Why does my payment need to exceed the monthly interest?
A: If your payment only covers the interest (or less), your principal will never decrease and you'll never pay off the debt.

Q2: How can I pay off my credit card faster?
A: Increase your monthly payment, reduce your APR (through balance transfers or negotiation), or make biweekly payments instead of monthly.

Q3: Does this account for minimum payments?
A: No, this calculates fixed payments. Minimum payments typically start at 1-3% of balance and change as your balance changes.

Q4: What if I make additional payments?
A: Additional payments will reduce your payoff time. Re-calculate with your new total monthly payment amount.

Q5: How accurate is this calculator?
A: It provides a good estimate assuming fixed payments and APR. Actual results may vary if your APR changes or you alter payments.

Credit Card Payment Calculator© - All Rights Reserved 2025