Free Debt Payoff Calculator
Months to pay off a debt at a fixed monthly payment.
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Inputs
Result
Months to payoff
36.9 mo
3.1 years
Your result is ready.
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Estimates only. Verify with a professional for consequential decisions.
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Short answer
At a fixed monthly payment, months to payoff = −log(1 − r·P/PMT) / log(1 + r) where r is the monthly rate.
What is the Debt Payoff Calculator?
Solves for the payoff timeline of a fixed-payment consumer debt like a credit card or personal loan.
How does the Debt Payoff Calculator work?
Convert APR to a monthly rate. Solve the amortization formula for time. Multiply by payment to see total dollars out; subtract balance for interest paid.
Formula
Variables
PCurrent balancerMonthly APRPMTFixed monthly payment
Explanation
Derived from the amortization equation by solving for time. If payment barely exceeds monthly interest, payoff takes decades.
Examples
Example 1: $8,000 at 22% APR, $300/mo
~35 months, ~$2,395 total interest.
Applications
- Credit card payoff planning
- Personal loans
- Buy-now-pay-later plans
Advantages
- Reveals how a modest payment bump slashes the timeline
- Highlights minimum-payment traps
Limitations
- Assumes no new charges on the account
- Does not model variable APRs or promo periods
Common mistakes
- Paying only the minimum on high-APR debt while adding new charges
Tips
- Doubling the monthly payment more than halves the payoff time on typical credit card APRs
Related concepts
The Debt Payoff Calculator sits inside the Finance Calculators hub, in the loans & debt payoff cluster. Instalment borrowing, credit cards and payoff strategy. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Debt Payoff
Solves for the payoff timeline of a fixed-payment consumer debt like a credit card or personal loan. Within finance calculators, debt payoff belongs to the loans & debt payoff cluster, where it shares terminology and assumptions with closely related tools.
Learning how debt payoff is calculated
Derived from the amortization equation by solving for time. If payment barely exceeds monthly interest, payoff takes decades. Working through the variables one at a time — P, r, PMT — makes the result reproducible by hand and easier to sanity-check.
Using debt payoff to make a decision
Credit card payoff planning Personal loans Buy-now-pay-later plans Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How debt payoff compares with related measures
principal, APR, term, avalanche method all describe adjacent aspects of loans & debt payoff. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
What if my payment equals monthly interest?
The balance never decreases — you pay forever. Increase the payment above monthly interest to make any progress.
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