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Student Loan Calculator

What the loan costs, and what changes when you pay a little extra every month.

Monthly payment
$0.00
—
Total interest—
Total paid—
Payoff time with extra payment—
Interest saved—
Months saved—

The formula

M = P x r x (1 + r)^n / ((1 + r)^n - 1)

P is the balance, r is the monthly rate (annual divided by 12), and n is the number of monthly payments. Student loans typically amortise, so early payments are mostly interest. That is why extra payments made in the first years save far more than the same extra payments made near the end.

Worked example

$35,000 at 6.8 percent over 10 years:

Note the ratio: an extra $100 against a $403 payment is 25 percent more, but it cuts the term by about two years. Amortisation rewards early extra payments disproportionately.

What changes the total

LeverEffect
Refinancing to a lower rateLargest single saving, but check whether you lose income-driven repayment or forgiveness eligibility
Extra monthly paymentsReduces interest directly and shortens the term
Shorter termHigher payment, dramatically less interest
Lump-sum paymentApplied to principal, saves all future interest on that amount
Capitalised interestUnpaid interest added to the balance at the end of grace or deferment periods, which raises everything after it

Common mistakes

  1. Choosing the longest term for the lowest payment. It feels safer but can double the interest paid.
  2. Refinancing federal loans without checking the trade-offs. You can lose access to income-driven repayment, deferment options and forgiveness programmes.
  3. Letting interest capitalise. Interest that capitalises during deferment starts earning interest itself.
  4. Ignoring the servicer's payment allocation. Confirm extra payments go to principal, not to next month's scheduled payment.
  5. Not checking autopay discounts. Many servicers cut the rate by 0.25 percent for automatic payments, which is free money.

Frequently asked questions

Should I pay extra or invest?
Compare the loan rate against the expected after-tax investment return. Paying a 7 percent loan is a guaranteed 7 percent return. Above roughly 6 to 7 percent, extra payments are usually the better risk-adjusted choice.
Does refinancing always save money?
Only if the new rate is meaningfully lower and you keep the loan long enough to recover any fees. It also resets the clock, so a longer new term can cost more overall even at a lower rate.
What is capitalised interest?
Unpaid interest that gets added to the principal balance, usually after a deferment or forbearance period. From that point you pay interest on the interest.
Why is my balance barely moving?
In the early years most of each payment is interest. On a $35,000 loan at 6.8 percent, roughly $198 of the first $403 payment is interest. The principal portion grows over time.

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