What Is This Tool?
This calculator helps users determine the time required to pay off a credit card balance along with the total interest paid, by applying fixed monthly payments over time with a given annual percentage rate (APR). It provides an iterative, month-by-month calculation based on the balance growth due to interest and deductions due to payments.
How to Use This Tool?
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Enter your current credit card balance as B_prev
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Provide the annual percentage rate (APR) to calculate the monthly interest rate r (APR ÷ 12)
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Input your fixed monthly payment amount P
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Click the calculate button to see how many months it will take to pay off your balance
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Review the estimated total interest paid and month-by-month balance progression
Key Features
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Uses an iterative monthly amortization approach for precise payoff timing
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Calculates total interest paid over the payoff period
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Accepts user inputs for balance, APR, and monthly payment
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Shows updated remaining balance after each month
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Browser-based and easy to use
Examples
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With a balance of $3,000, APR of 18% (r = 0.015), and a monthly payment of $150, the calculator estimates payoff in approximately 23 months and total interest around $390.
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For a balance of $5,000 with an APR of 12% and monthly payment of $200, the calculator will show the month when balance reaches zero.
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Changing the payment amount allows you to compare how different monthly payments impact payoff duration and interest.
Common Use Cases
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Credit card holders planning debt repayment strategies
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Debt counselors advising clients on payment plans
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Financial planners assessing credit card payoff scenarios
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Individuals wanting to estimate interest savings through fixed payments
Tips & Best Practices
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Ensure your monthly payment is sufficient to cover interest to actually reduce the balance
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Use consistent and accurate APR values for reliable results
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Avoid entering new charges or fees during calculation since the model assumes fixed payments and constant APR
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Review monthly payoff projections to understand your progress clearly
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Regularly update your inputs if your payment or APR changes to keep calculations accurate
Limitations
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Assumes a fixed monthly payment amount throughout the period
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Monthly interest rate is constant, derived from a fixed APR; variable interest rates are not accounted for
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Does not include effects of new purchases, additional fees or penalties
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Estimates payoff only under the assumptions of no balance increases except interest and fixed payments
Frequently Asked Questions
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How is the remaining balance calculated each month?
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The remaining balance is calculated by adding interest accrued on the previous balance (B_prev × r) and then subtracting the fixed monthly payment (P) using the formula: B_new = B_prev + B_prev × r - P.
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What does the monthly interest rate (r) represent?
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The monthly interest rate r is the annual percentage rate (APR) divided by 12, representing the interest applied to your balance each month.
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Can this calculator handle variable interest rates or fees?
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No, this tool assumes a constant APR and fixed monthly payments. It does not factor in fees, new purchases, or changing interest rates.
Key Terminology
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B_prev
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The credit card balance at the start of each month before interest and payment are applied.
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r
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The monthly interest rate calculated by dividing the APR by 12.
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P
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The fixed monthly payment amount made towards the credit card balance.
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B_new
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The updated balance remaining after monthly interest is added and the payment is subtracted.