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ToolGrym

Student Loan Calculator

Calculate your monthly student loan payment, the total interest over the repayment term, and exactly how much time and money extra payments save — for federal or private loans.

Written by Daniel Mercer, CFP® · Reviewed by Sarah Lindqvist, CFA

Last reviewed:

$
%

Federal rates are fixed for each loan's life

years

Standard federal plan is 10 years

$

Monthly payment

$397.95

Payoff time
10 yr
Total interest
$12,754
Total repaid
$47,754

Balance over time

Student loan balance over time, with and without extra payments$0$10k$20k$30k02357810Years

What this calculator does

Student debt is the loan people carry longest without ever seeing its full arithmetic. This calculator lays it out: the monthly payment for any balance, rate, and term; the total interest the schedule implies; and — the part worth staring at — what a modest extra payment does to both. The chart draws the balance falling under the standard payment and under your payment-plus-extra, so the years you’d claw back are visible, not hypothetical.

How the math works

Standard repayment uses the amortization formula:

M = P · r(1 + r)ⁿ / ((1 + r)ⁿ − 1)

with P the balance, r the monthly rate, n the number of payments. Each month interest accrues on the remaining balance; the payment covers interest first, principal second. Extra payments skip the interest line entirely and hit principal — which is why their effect compounds over the remaining life of the loan.

A worked example

A $35,000 balance at 6.53% (a recent federal undergraduate rate) on the 10-year standard plan:

  • Payment: $397.97 per month
  • Total interest: about $12,760
  • Total repaid: about $47,760

Add $100 extra each month: the loan finishes in about 7 years 5 months instead of 10, and total interest falls to roughly $9,220 — saving about $3,500 and 31 months. The extra $100 isn’t gone, either; it’s forced savings earning a guaranteed 6.53% return, which is more than most bonds pay.

Practical tips

  1. Attack loans, not the loan. Most graduates hold several federal loans at different rates. Extra payments do the most damage pointed at the highest-rate loan first (the avalanche logic — compare strategies in the debt snowball calculator).
  2. Beware the consolidation trade. Consolidating simplifies paperwork, but choosing a longer term at the weighted-average rate can add tens of thousands in interest. Run the old and new terms here before signing anything.
  3. Think twice before refinancing federal loans privately. A private refinance may cut the rate, but it permanently surrenders federal protections — income-driven plans, deferment, forbearance, and any future forgiveness. Price the savings here, then weigh them against the insurance you’re giving up.
  4. Keep paying through the grace period if you can. Interest on unsubsidized loans accrues from disbursement. Payments made before capitalization events reduce the principal that future interest is calculated on — small early dollars outperform larger later ones.

The term is the biggest lever

Rates get the headlines, but the term quietly controls the total. This same $35,000 at 6.53% costs about $12,760 in interest over 10 years — and roughly $36,000 over 25 years on an extended plan, for a payment only about $161 lower. When a longer term is the only way to make the budget work, that’s a legitimate trade; the point of running the numbers is making it a chosen trade. Once your payment has room to spare, the loan payoff calculator shows what each additional $50 does to any loan you’re stuck with.

Frequently asked questions

What repayment term should I enter for federal loans?
The federal Standard Repayment Plan is 10 years, which is also the default this calculator loads. Consolidation and extended plans stretch to 20–30 years — lower payments, far more interest. Income-driven plans (like IBR or the current income-based options) recalculate payments annually from your income, which fixed-payment math can't model; use your servicer's estimates for those.
Should I pay off student loans early or invest?
Compare the loan's rate to a realistic after-tax investment return. Extra payments on a 6.5% loan earn a guaranteed 6.5%; historically stocks have returned more on average but with real risk. Many planners split the difference: capture any employer 401(k) match first (an instant 50–100% return), then attack loans above ~6%, then invest. Whatever you choose, this calculator prices the loan side of the decision.
How does student loan interest actually accrue?
Federal loans use simple daily interest on the outstanding principal: balance × (rate ÷ 365) per day. Unpaid interest doesn't compound monthly while you're in normal repayment, but it capitalizes (gets added to principal) at specific events — like leaving deferment. This calculator's monthly model matches standard repayment behavior closely for planning purposes.
Do extra payments work the same as with other loans?
Yes, with one important instruction: tell your servicer to apply extra amounts to the current balance as principal, not to "advance the due date". Also specify which loan in a group gets the extra — target the highest rate. Federal loans never have prepayment penalties; private loans almost never do.
Is student loan interest tax-deductible?
Up to $2,500 of student loan interest per year is deductible as an above-the-line deduction, subject to income phase-outs set by the IRS. That effectively discounts your interest rate a little in the years you qualify — worth knowing, but rarely enough to change the payoff-versus-invest decision by itself.

Written by

Daniel Mercer, CFP®

Daniel is a Certified Financial Planner™ with 12 years of experience helping households manage debt, savings, and retirement planning. He writes ToolGrym’s calculator guides and explains the math behind every tool.

Reviewed by

Sarah Lindqvist, CFA

Sarah is a CFA charterholder who reviews every ToolGrym calculator and article for mathematical accuracy. She has 10 years of experience in fixed-income analytics and consumer lending models.