Loan Payoff Formula:
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The Student Loan Payoff Calculator estimates how long it will take to pay off your student loans based on your monthly payment amount, loan principal, and interest rate. This is particularly useful for federal unsubsidized loans which had an interest rate of 5.50% in 2022.
The calculator uses the loan payoff formula:
Where:
Explanation: The formula calculates how many monthly payments are required to pay off a loan given a fixed payment amount and interest rate.
Details: Understanding your payoff timeline helps with financial planning, budgeting, and deciding whether to make additional payments to reduce interest costs.
Tips: Enter your planned monthly payment, the original loan amount, and the annual interest rate (5.50% for 2022 federal unsubsidized loans). All values must be positive numbers.
Q1: What if my payment is too low to cover the interest?
A: The calculator will indicate if your payment is too low to ever pay off the loan (when PMT ≤ P × r).
Q2: Does this account for changing interest rates?
A: No, this assumes a fixed interest rate for the life of the loan.
Q3: How accurate is this calculator?
A: It provides a theoretical estimate assuming consistent payments and no additional payments. Actual payoff may vary.
Q4: Should I include my loan fees in the principal?
A: Yes, include any origination fees or capitalized interest in your principal amount for most accurate results.
Q5: What's the standard repayment term for federal loans?
A: Standard repayment is typically 10 years (120 months), but this calculator shows how different payment amounts affect the timeline.