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Credit Card Interest Repayment Calculator

Credit Card Repayment Formula:

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

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1. What is the Credit Card Repayment Formula?

The credit card repayment formula estimates the time required to pay off credit card debt including interest charges. 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 repayment 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 given a fixed monthly payment and interest rate.

3. Importance of Repayment Calculation

Details: Understanding repayment time helps consumers make informed decisions about credit card usage, payment amounts, and debt management strategies.

4. Using the Calculator

Tips: Enter the current balance, your planned monthly payment, and the card's APR. All values must be positive, and the payment must exceed the monthly interest charge.

5. Frequently Asked Questions (FAQ)

Q1: What if my payment only covers the interest?
A: If payment ≤ (principal × monthly rate), the debt will never be repaid. You'll need to increase payments.

Q2: Does this account for minimum payments?
A: No, this assumes fixed payments. Minimum payments often extend repayment time significantly.

Q3: What's a good monthly payment amount?
A: Ideally, pay more than the minimum - at least 2-3% of balance plus interest to make progress.

Q4: Does this include fees?
A: No, the calculation only includes interest. Late fees or other charges would extend repayment.

Q5: How accurate is this estimate?
A: It's mathematically precise for fixed payments and rates. Variable rates or changing payments would affect actual time.

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