Home Back

Credit Card Calculator Repayment

Monthly Payment Formula:

\[ Monthly\ Payment = \frac{Balance \times \frac{Rate}{12}}{1 - (1 + \frac{Rate}{12})^{-Months}} \]

$
decimal
months

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Credit Card Repayment Calculator?

The Credit Card Repayment Calculator helps determine the fixed monthly payment needed to pay off a credit card balance over a specified period, considering the interest rate. It uses the standard loan amortization formula to calculate payments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Monthly\ Payment = \frac{Balance \times \frac{Rate}{12}}{1 - (1 + \frac{Rate}{12})^{-Months}} \]

Where:

Explanation: The formula calculates the fixed monthly payment required to pay off the entire balance including interest over the specified period.

3. Importance of Monthly Payment Calculation

Details: Calculating accurate monthly payments helps in budgeting, debt management planning, and understanding the total cost of carrying credit card debt over time.

4. Using the Calculator

Tips: Enter the current balance in currency, annual interest rate as a decimal (e.g., 0.18 for 18%), and the desired repayment period in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the rate divided by 12 in the formula?
A: The rate is divided by 12 to convert the annual interest rate to a monthly rate since payments are made monthly.

Q2: What if I want to pay off my balance faster?
A: Enter a smaller number of months to see the higher monthly payment required to pay off the balance more quickly.

Q3: Does this calculator account for minimum payments?
A: No, this calculator calculates the fixed payment needed to completely pay off the balance in the specified time period, which may be higher than minimum payments.

Q4: What is the difference between decimal and percentage rate?
A: Decimal rate is the percentage divided by 100 (e.g., 18% = 0.18). Make sure to enter the rate in decimal form.

Q5: Can this calculator be used for other types of loans?
A: Yes, this formula works for any fixed-rate installment loan with monthly payments, including personal loans and auto loans.

Credit Card Calculator Repayment© - All Rights Reserved 2025