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Minimum Payment on Credit Card Calculator

Credit Card Payoff Formula:

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

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1. What is the Credit Card Payoff Formula?

The credit card payoff formula estimates how long it will take to pay off a credit card balance making only minimum payments. It accounts for the principal balance, minimum payment amount, and annual interest rate.

2. How Does the Calculator Work?

The calculator uses the credit card payoff formula:

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

Where:

Explanation: The formula calculates how many months it would take to pay off the balance with minimum payments, considering compound interest.

3. Importance of Payoff Calculation

Details: Understanding payoff time helps consumers realize the true cost of making only minimum payments and encourages faster debt repayment.

4. Using the Calculator

Tips: Enter your current balance, typical minimum payment amount (or percentage of balance), and your card's APR. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does my credit card never get paid off with minimum payments?
A: If your minimum payment is less than the monthly interest charged, your balance will grow instead of shrink.

Q2: How can I pay off my credit card faster?
A: Pay more than the minimum, even small additional amounts can significantly reduce payoff time.

Q3: What's a typical minimum payment percentage?
A: Many cards require 1-3% of the balance, often with a minimum dollar amount (e.g., $25).

Q4: Does this account for changing interest rates?
A: No, this assumes a fixed APR. Variable rates would require more complex calculations.

Q5: Should I use this for other types of loans?
A: This formula is specific to credit cards with minimum payments. Other loans use different amortization models.

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