dopecalc

Credit Card Calculator

Find out how long it will take to pay off your credit card balance and how much interest you'll pay. Compare fixed payments versus minimum payments.

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About this Calculator

Find out how long it will take to pay off your credit card balance and how much interest you'll pay. Compare fixed payments versus minimum payments.

Formula & Calculations

Formula

Months = ln(Payment / (Payment - Balance × Rate)) / ln(1 + Rate)
Where:
  • Months=Number of months to pay off the balance
  • Balance=Current credit card balance
  • Rate=Monthly interest rate (APR / 12)
  • Payment=Monthly payment amount

Assumptions

  • Assumes no additional purchases are made on the card.
  • Assumes a fixed monthly payment throughout the payoff period.
  • Interest compounds monthly on the remaining balance.
  • Minimum payment is calculated as 2% of the balance or $25, whichever is greater.

Calculation Examples

Example 1

Inputs:Balance: $5,000, APR: 18%, Monthly Payment: $200
Result:Payoff: 32 months, Total Interest: $1,297.52

Paying $200 per month on a $5,000 balance at 18% APR will take 32 months and cost $1,297.52 in interest.

Example 2

Inputs:Balance: $10,000, APR: 24%, Monthly Payment: $300
Result:Payoff: 47 months, Total Interest: $4,098.18

A $10,000 balance at high APR takes nearly 4 years to pay off at $300/month, costing over $4,000 in interest.

Frequently Asked Questions

What is APR?

APR (Annual Percentage Rate) is the annualized interest rate charged for borrowing on a credit card. It includes the nominal interest rate plus any fees, expressed as a yearly rate.

How do I avoid paying credit card interest?

Pay your statement balance in full by the due date each month. Most credit cards offer a grace period where no interest is charged if the previous balance was paid in full.

What is a minimum payment trap?

Making only the minimum payment each month extends your repayment period dramatically. A $5,000 balance at 18% APR with minimum payments could take over 20 years to pay off and cost thousands in interest.