Kay's Credit Card Payment Calculator

How to Use This Calculator

To calculate your credit card payments:

1. Enter your current credit card balance in the "Current Balance" field.
2. Input your credit card's annual percentage rate (APR) in the "APR" field.
3. Specify the monthly payment amount you plan to make.
4. Click the "Calculate" button to see your results.

The calculator will display your estimated monthly payment, total interest paid, and the number of months needed to pay off the balance.

How Credit Card Payments Work

Credit card payments are calculated based on the remaining balance, interest rate, and payment amount. The calculator uses the following steps:

1. Calculate the daily interest charge based on the remaining balance and APR.
2. Apply the monthly payment to the balance.
3. Repeat until the balance is paid off.

This method provides a more accurate estimate of your payoff timeline compared to simple interest calculations.

The Formula

The calculator uses the following formula to estimate your payoff timeline:

This formula accounts for the daily interest accumulation that occurs with credit card balances.

Worked Example

Let's calculate the payoff timeline for a $5,000 credit card balance with a 15% APR and $200 monthly payments.

1. Initial balance: $5,000
2. Monthly interest: ($5,000 × 0.15) / 12 = $62.50
3. Daily interest: $62.50 / 30 ≈ $2.08
4. After first month: $5,000 + ($2.08 × 30) - $200 = $4,862.50
5. Continue this process until the balance reaches zero.

Using the calculator, you would find that it takes approximately 30 months to pay off this balance.