Home Back

Credit Card Debt Payoff Calculator

Debt Payoff Equation:

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

$
$
%

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Credit Card Payoff Equation?

The credit card payoff equation calculates how long it will take to pay off a credit card balance when making fixed monthly payments, taking into account the interest rate. This helps consumers understand their debt repayment timeline.

2. How Does the Calculator Work?

The calculator uses the debt payoff equation:

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

Where:

Explanation: The equation accounts for compound interest and calculates how many periods (months) it will take for the balance to reach zero with fixed payments.

3. Importance of Debt Payoff Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if my payment is less than the interest?
A: The calculator will show an error because you'll never pay off the debt - your balance would grow over time.

Q2: How can I pay off debt faster?
A: Increase monthly payments, make biweekly payments, or transfer to a lower-interest card.

Q3: Does this account for minimum payments?
A: No, this assumes fixed payments. Minimum payments typically extend payoff time significantly.

Q4: Are there limitations to this calculation?
A: It assumes fixed interest rate and payment amount. Real-world rates may change.

Q5: Should I pay off highest APR or smallest balance first?
A: Mathematically, targeting highest APR saves most money, but some prefer the psychological win of paying off small balances first.

Credit Card Debt Payoff Calculator© - All Rights Reserved 2025