Free Credit Card Payoff Calculator
Find out how long it will take to pay off your credit card balance and how much interest you will pay.
USD
%
USD
Months to Pay Off
34
Total Amount Paid$6,800.00
Total Interest Paid$1,800.00
Months to Pay Off vs Monthly Payment
How Credit Card Payoff Is Calculated
The number of months to pay off is:
n = -log(1 - r × B / P) / log(1 + r)
Where B = balance, P = monthly payment, r = monthly interest rate. Your payment must exceed the monthly interest charge (B × r) or the balance will never decrease.
Example Calculation
$5,000 balance at 22% APR with $200 monthly payment.
- 01Monthly rate = 22% / 12 = 1.833%
- 02Months = -log(1 - 0.01833 × 5000 / 200) / log(1.01833)
- 03= -log(1 - 0.4583) / log(1.01833)
- 04= -log(0.5417) / 0.01817 = 33.7 → 34 months
- 05Total paid = 34 × $200 = $6,800
- 06Total interest = $6,800 - $5,000 = $1,800
Frequently Asked Questions
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