Home Back

Calculate Credit Card Debt

Credit Card Debt 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 Debt Formula?

The credit card debt formula calculates how long it will take to pay off a credit card balance given a fixed monthly payment and interest rate. It accounts for compound interest and the decreasing balance over time.

2. How Does the Calculator Work?

The calculator uses the 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 reduce the balance to zero, considering the interest that accrues each month on the remaining balance.

3. Importance of Debt Calculation

Details: Understanding how long it will take to pay off credit card debt helps with financial planning and demonstrates the impact of interest rates and payment amounts on debt repayment.

4. Using the Calculator

Tips: Enter your current balance, the fixed monthly payment you can afford, and your card's annual percentage rate (APR). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does my debt never seem to go down?
A: If your monthly payment is less than the monthly interest (P × R), your balance will actually increase each month despite making payments.

Q2: How can I pay off my debt faster?
A: Either increase your monthly payment or reduce your interest rate (through balance transfers or negotiating with your card issuer).

Q3: What's a good monthly payment amount?
A: At minimum, pay more than the interest accrued each month. For faster payoff, pay as much above the minimum payment as possible.

Q4: Does this account for minimum payments?
A: No, this assumes a fixed payment amount. Minimum payments typically decrease as your balance decreases.

Q5: What if I make additional payments?
A: The calculator assumes consistent payments. Additional payments will reduce your payoff time even further.

Calculate Credit Card Debt© - All Rights Reserved 2025