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Credit Card Debt Payoff Calculator

Credit Card Payoff Formula:

\[ n = \frac{\log\left(\frac{PMT}{PMT - P \times r}\right)}{\log(1 + r)} \]

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1. What is the Credit Card Payoff Formula?

The credit card payoff formula calculates how many months it will take to pay off a credit card balance given a fixed monthly payment, interest rate, and current balance. It accounts for compound interest and helps consumers understand their debt repayment timeline.

2. How Does the Calculator Work?

The calculator uses the credit card payoff formula:

\[ n = \frac{\log\left(\frac{PMT}{PMT - P \times r}\right)}{\log(1 + r)} \]

Where:

Explanation: The formula calculates the time required to pay off debt when making fixed payments that cover both principal and interest.

3. Importance of Payoff Calculation

Details: Understanding your payoff timeline helps with financial planning, debt management, and evaluating different repayment strategies.

4. Using the Calculator

Tips: Enter your current balance, annual percentage rate (APR), and fixed monthly payment amount. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does my payment need to exceed the monthly interest?
A: If your payment only covers interest (or less), your balance won't decrease and you'll never pay off the debt.

Q2: What if I make additional payments?
A: Extra payments will reduce your payoff time. Recalculate with your new total monthly payment amount.

Q3: How accurate is this calculator?
A: It assumes fixed payments and interest rates. Actual results may vary if your APR changes or you make different payment amounts.

Q4: What's the best strategy to pay off credit cards faster?
A: Pay more than the minimum, target highest-interest cards first (avalanche method), or consider balance transfers to lower rates.

Q5: Does this work for other types of loans?
A: This formula works for any fixed-rate debt with compound interest, though mortgage calculations often use different formulas.

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