Federal vs Private Student Loan Calculator

A federal vs private student loan comparison tool is a free online tool that compares student loan options. It shows interest rates, forgiveness options, and total repayment cost to help you choose the better loan type. Free, no sign-up required.

Student Loan Inputs

?The total amount you want to borrow.
?Enter your federal rate.
?Enter your private rate.
?The length of your mortgage in years. Common terms are 15 or 30 years.
End of inputs

Federal vs Private Student Loan

Metric
Federal Student Loan
Fixed 5.50%, 10-year standard repayment
Private Student Loan
Fixed 4.50%, 10-year repayment
Monthly Payment$434.11$414.55
Total Interest$12,093.20$9,746.00
Total Cost$52,093.20$49,746.00
ForgivenessEligibleNo
$2,347.20 total cost difference. Private is cheaper on paper, but federal loans keep IDR and forgiveness protections.
Key Insights
Federal loans at 5.50% cost $434.11/mo with $12,093.20 in interest over 10 years.
Private loans at 4.50% cost $414.55/mo with $9,746.00 in interest — $2,347.20 less than federal.
Private saves $2,347.20 on paper, but federal loans offer income-driven repayment and PSLF that can be worth far more. Exhaust federal loans first.

Guide

How to Use This Calculator

  1. 1Enter the loan amount you are borrowing for the academic year or in total.
  2. 2Set the federal student loan interest rate. Federal Direct loan rates are set by Congress each year; for 2024-2025 undergraduate Direct loans the rate is 6.53%, and the default here is 5.5% as a representative rate.
  3. 3Set the private student loan interest rate from a lender quote. Private rates vary by credit; creditworthy borrowers may see 4% to 7% fixed, or lower variable rates.
  4. 4Choose the loan term in years (commonly 10 years for standard repayment; up to 25 years for extended or income-driven plans).
  5. 5Review the side-by-side metrics: monthly payment, total interest, total cost, and forgiveness eligibility. Federal loans are flagged as forgiveness-eligible; private loans are not.
  6. 6Read the AI Insight panel for a personalized interpretation of the rate trade-off, borrower protections, and total cost difference.
Formula

How It's Calculated

Both scenarios use the standard amortizing-loan monthly payment:

M = P × [r(1+r)^n] / [(1+r)^n − 1]

Where:
- P = loanAmount
- r = monthly rate = annualRate ÷ 12
- n = loanTermYears × 12

FEDERAL SCENARIO:
  monthlyPayment = monthlyPayment(loanAmount, federalRate, n)
  totalCost      = monthlyPayment × n
  totalInterest  = totalCost − loanAmount
  forgiveness    = Eligible (IDR, PSLF, Teacher Loan Forgiveness)

PRIVATE SCENARIO:
  monthlyPayment = monthlyPayment(loanAmount, privateRate, n)
  totalCost      = monthlyPayment × n
  totalInterest  = totalCost − loanAmount
  forgiveness    = Not eligible

WINNER: the scenario with the lower totalCost (purely financial).

Example — $40,000 loan, 10-year term:
  Federal: 5.5% rate → monthly $435.13,
    total interest $12,216, total cost $52,216, forgiveness eligible
  Private: 4.5% rate → monthly $414.55,
    total interest $9,746, total cost $49,746, no forgiveness

The private loan is $2,470 cheaper over 10 years on paper, but the
federal loan's IDR, PSLF, and hardship protections have real value
that the raw math does not capture. Most borrowers should take federal
loans first and only supplement with private loans.
Glossary

Key Terms

FAQ

Frequently Asked Questions

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