Student Loan Payoff Calculator
See how long it takes to repay a student loan and how much interest you pay.
Months to pay off
Estimated total interest
Estimated total paid
The formula
Months = -ln(1 - r x balance / payment) / ln(1 + r), where r is the rate divided by 12. If the payment is no more than one month of interest, the loan never shrinks.
Example: 30,000 at 5.5% with 400 a month takes 93 months and about 6,845 in interest. Income-based plans work differently, so check your lender.
Frequently asked questions
Does paying extra help?
Yes. Extra payments cut the balance faster and reduce interest.
Why is the result blank?
Your payment is too low to cover the monthly interest.
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Last updated October 2026. For information only, not financial advice.