How to Calculate Student Loan Payoff
Calculate how long it will take to pay off a student loan, the total interest you will pay, and how much time and interest an extra monthly payment saves you.
The Formula
months = log(payment / (payment - balance * rate / 1200)) / log(1 + rate / 1200)The student loan payoff formula uses the mathematical relationship: months = log(payment / (payment - balance * rate / 1200)) / log(1 + rate / 1200). Each variable in the formula represents a measurable quantity that affects the final result.
Step-by-Step Method
- 1Identify all input values needed for the student loan payoff calculation.
- 2Substitute your known values into the formula: months = log(payment / (payment - balance * rate / 1200)) / .
- 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
- 4Check that your result has the correct units and is within a reasonable range.
- 5Verify using the interactive Student Loan Payoff Calculator to confirm your answer.
Related Topics
student loan payoffstudent loan calculatorpay off student loansextra paymentinterest saved
Use the Interactive Calculator
Skip the manual math — get instant results with our free Student Loan Payoff calculator.