Student Loan Payoff Calculator

Calculate student loan payoff time, total interest and the effect of extra payments.

About Student Loan Payoff Calculator

Extra payments reduce principal directly, so every additional pound saves all the interest that principal would have accrued over the remaining term. The saving is therefore far larger than the payment itself. A payment at or below the monthly interest never clears the loan, which is why income-driven plans can leave balances growing despite regular payment.

Formula

Student Loan Payoff

Months = −log(1 − P·r ÷ payment) ÷ log(1 + r), the amortisation formula solved for term

monthly rate: Annual rate divided by twelve
extra payment: Applied entirely to principal, which compounds the saving

Worked example

With the default values below, Student Loan Payoff Calculator returns Months to Payoff of 82.9. Change any input above and every figure here is recalculated in your browser.

Inputs used

Loan balanceminimum 0: 32,000
Annual interest rateaccepts 0–30 %: 6.5 %
Monthly paymentminimum 0.01: 380
Additional monthly paymentminimum 0: 100

Results

Months to Payoff: 82.9 months
Years to Payoff: 6.91 years
Total Interest Paid: $7,809.31
Months Saved by the Extra Payment: 29.8 months
Interest Saved by the Extra Payment: $3,034.49

Step by step

1Values used
2Student Loan Payoff
3Months to Payoff= 82.9 months
4Years to Payoff= 6.91 years
5Total Interest Paid= 7,809.31
6Months Saved by the Extra Payment= 29.8 months
7Interest Saved by the Extra Payment= 3,034.49

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or fees or charges into account.
Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
Student loan terms vary greatly by country and scheme, and some are income-contingent with forgiveness provisions that change the arithmetic entirely. This is a standard amortisation calculation and not advice. Check your specific loan terms before overpaying.
This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Student loan terms vary greatly by country and scheme, and some are income-contingent with forgiveness provisions that change the arithmetic entirely. This is a standard amortisation calculation and not advice. Check your specific loan terms before overpaying.

Frequently Asked Questions

How is Student Loan Payoff calculated?

Months = −log(1 − P·r ÷ payment) ÷ log(1 + r), the amortisation formula solved for term Extra payments reduce principal directly, so every additional pound saves all the interest that principal would have accrued over the remaining term. The saving is therefore far larger than the payment itself.

Why does Student Loan Payoff matter?

A payment at or below the monthly interest never clears the loan, which is why income-driven plans can leave balances growing despite regular payment.

What values do I need to enter?

This calculator takes 4 inputs: Loan balance, Annual interest rate, Monthly payment, Additional monthly payment. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.