Credit Card Payoff Calculator
Strategic debt reduction planning tool
How Your Credit Card Payoff is Calculated
Credit card debt is particularly expensive because interest is compounded daily and applied monthly. This calculator uses the standard amortization formula for revolving credit to determine how long it will take to reach a zero balance based on fixed monthly payments.
The Mathematical Formula
N = -log(1 – (i * B) / P) / log(1 + i)
- B: Total Current Balance
- i: Monthly interest rate (Annual APR / 12)
- P: Planned Monthly Payment
- N: Total Number of Months to Payoff
Why the Monthly Payment Matters
If your monthly payment is not significantly higher than the interest accrued each month, your balance will barely move. For example, if you have a $10,000 balance at 24% APR, your monthly interest charge is roughly $200. If you only pay $210, only $10 goes toward the principal, meaning it would take decades to pay off the debt.
Realistic Example
Balance: $3,000 | APR: 22% | Payment: $150/mo
In this scenario, it would take 26 months to pay off the card. You would pay $791.73 in total interest over that time, making the true cost of those purchases $3,791.73.