Debt Payoff Calculator
See exactly how long it takes to pay off your debt — and how much extra payments save you.
Debt Payoff Calculator
Find out when you will be debt-free
Calculate time to pay off debt
n = -log(1 - Br/PMT) / log(1+r)What Is a Debt Payoff Calculator?
A debt payoff calculator tells you exactly how many months it will take to eliminate a balance given a fixed monthly payment and an annual interest rate. Whether you're dealing with a credit card, a personal loan, or a car note, this tool cuts through the confusion and shows you a clear finish line. Knowing your payoff date transforms debt from an abstract burden into a solvable problem with a specific end date.
Making only minimum payments is one of the costliest financial habits you can have. On a $8,000 credit card at 20% APR, a minimum payment strategy can keep you in debt for over 20 years and cost more than $10,000 in interest alone. Even a small fixed payment above the minimum can slash years off your timeline. This calculator shows you the precise impact of any payment amount — and what happens when you throw in extra principal each month.
How to Use This Calculator
- 1Enter your current balance — the total amount you owe right now.
- 2Enter your annual interest rate (APR). Check your statement or lender's website if you're unsure.
- 3Enter your fixed monthly payment. Use a number higher than the minimum to see how quickly you can be debt-free.
- 4Optionally, enter an extra monthly payment to see how much faster you pay off the debt and how much interest you save.
Payoff Formula Explained
n = -log(1 − (r × P) / M) / log(1 + r)
n = months to payoff
P = principal balance (current amount owed)
r = monthly interest rate (APR ÷ 12)
M = monthly payment amount
Total Interest = (M × n) − PP is your starting balance; r is the APR divided by 12 (e.g., 19.99% APR → r = 0.01666); M is your fixed monthly payment; n is the number of months until the balance reaches zero. One critical constraint: M must be strictly greater than r × P — the monthly interest charge. If your payment equals or is less than the monthly interest, your balance never decreases (negative amortization). Total interest is simply the sum of all payments minus the original principal.
Real-World Examples
Example 1 — Credit Card: $8,000 at 19.99% APR, $200/month
Monthly rate r = 19.99% ÷ 12 = 1.666%. Plugging into the formula: n = −log(1 − (0.01666 × 8000) / 200) / log(1.01666) ≈ 62 months (about 5 years, 2 months). Total payments = $200 × 62 = $12,400. Total interest paid ≈ $12,400 − $8,000 = $4,400. Boosting the payment to $300/month cuts the timeline to about 34 months and saves roughly $1,800 in interest.
Example 2 — Car Loan: $15,000 at 6.9% APR, $350 vs $500/month
At $350/month: n ≈ 51 months, total interest ≈ $2,850. At $500/month: n ≈ 34 months, total interest ≈ $2,000. Paying $150 more per month saves about 17 months and $850 in interest. On a car loan the savings are more modest than a credit card because the interest rate is much lower — but the time savings alone may be worth it if you want to own the vehicle outright sooner.
Example 3 — Student Loan: $25,000 at 5.5% APR, $300 + $100 extra/month
At $300/month alone: n ≈ 116 months (nearly 10 years), total interest ≈ $9,800. Adding $100 extra (effective payment $400/month): n ≈ 80 months (just under 7 years), total interest ≈ $7,000. That extra $100 per month saves 36 months and approximately $2,800 in interest — a strong return on a modest increase in monthly commitment.