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Debt Repayment Calculator Credit Card Payoff

Credit Card Payoff 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 Payoff Formula?

The credit card payoff formula calculates how long it will take to pay off credit card debt based on your current balance, monthly payment, and interest rate. It accounts for the compounding effect of interest on your remaining balance.

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 reduce the balance to zero, considering each payment first covers the interest for that period, then reduces the principal.

3. Importance of Debt Repayment Calculation

Details: Understanding your payoff timeline helps with financial planning, comparing repayment strategies, and motivating debt reduction efforts.

4. Using the Calculator

Tips: Enter your current credit card balance, the fixed monthly payment you can afford, and your card's annual interest rate. 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 (D ≤ P×R), your balance will never decrease and you'll never pay off the debt.

Q2: What if I make additional payments?
A: Extra payments will reduce the principal faster, shortening the payoff time. Recalculate with your new higher payment amount.

Q3: How accurate is this calculator?
A: It assumes fixed payments and interest rates. Actual results may vary if rates change or payments fluctuate.

Q4: Should I prioritize high-interest cards first?
A: Yes, the "avalanche method" (paying highest-rate debts first) minimizes total interest paid.

Q5: What's a good strategy to pay off debt faster?
A: Consider the "snowball method" (smallest balances first) for psychological wins, or increase payments by reducing expenses or increasing income.

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