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How Student Loans Work

Student loans are installment loans designed to cover education costs including tuition, room and board, books, and other expenses. Federal student loans offer fixed interest rates set by Congress each year, while private student loans may have fixed or variable rates set by the lender. Most federal loans come with a 6-month grace period after graduation before payments begin, but interest may still accrue during this time on unsubsidized loans.

The Student Loan Payment Formula

Monthly payments use the standard amortization formula: M = P × r × (1 + r)n / [(1 + r)n – 1], where P is your total loan balance (including any capitalized grace period interest), r is the monthly interest rate, and n is the total number of monthly payments in your repayment plan.

Worked Example

For $35,000 in student loans at 5.5% APR on the standard 10-year plan:

  • Grace period interest (6 months): $962
  • Adjusted balance: $35,962
  • Monthly payment: $390
  • Total interest paid: $10,820
  • With $100 extra/month: payoff in 7 years 8 months, saving $2,880 in interest

Federal Repayment Plans Compared

PlanTermMonthly PaymentBest For
Standard10 yearsFixedLowest total cost
ExtendedUp to 25 yearsFixed or graduatedLower monthly payments (higher total cost)
Graduated10 yearsStarts low, increases every 2 yearsExpect rising income
SAVE/IBR/PAYE20-25 yearsBased on income (10-15% of discretionary)Low income relative to debt

Key Student Loan Terms

Subsidized Loan
Federal loan where the government pays interest while you are in school, during grace periods, and deferment. Only available to undergraduates with financial need.
Unsubsidized Loan
Federal loan where interest accrues from day one. Available to both undergraduates and graduates regardless of financial need.
Capitalization
When unpaid interest is added to your principal balance, increasing the amount you pay interest on going forward.
Grace Period
A period (usually 6 months) after graduation or dropping below half-time enrollment before payments are required.
PSLF (Public Service Loan Forgiveness)
Forgives remaining federal loan balance after 120 qualifying payments (10 years) while working for a qualifying employer (government, nonprofit).

Strategies to Pay Off Student Loans Faster

  • Pay interest during grace period: Prevents capitalization and reduces your total cost by hundreds
  • Make biweekly payments: Paying half your monthly payment every 2 weeks results in 13 full payments per year instead of 12
  • Use windfalls aggressively: Tax refunds, bonuses, and gifts applied to principal can shave years off your loan
  • Consider refinancing: If your credit score has improved since school, you may qualify for lower rates — but only refinance federal loans if you do not need income-driven plans or PSLF
  • Set up autopay: Most servicers offer a 0.25% rate reduction for automatic payments

Frequently Asked Questions

What is the standard repayment plan for student loans?

The standard repayment plan has fixed monthly payments over 10 years (120 months). It typically results in the lowest total interest cost among all federal repayment plans because you pay off the loan faster. Most borrowers default to this plan unless they choose an alternative.

Should I pay off student loans during the grace period?

If you can afford it, making interest payments during the grace period prevents interest from capitalizing (being added to your principal balance). On a $35,000 loan at 5.5%, skipping the 6-month grace period adds roughly $962 to your balance — and you pay interest on that extra amount for the life of the loan.

How do extra payments affect my student loan?

Extra payments go directly toward your principal balance, reducing the amount future interest is calculated on. Even an extra $50/month on a $35,000 loan at 5.5% can save you over $1,400 in interest and pay off the loan 14 months early. Always confirm with your servicer that extra payments are applied to principal, not future payments.

What is the difference between subsidized and unsubsidized student loans?

With subsidized loans, the government pays the interest while you are in school, during grace periods, and during deferment. With unsubsidized loans, interest accrues from the day the loan is disbursed and capitalizes if not paid, increasing your total balance. Unsubsidized loans cost more overall.

When does student loan refinancing make sense?

Refinancing makes sense when you can get a significantly lower interest rate (usually 1%+ lower), have stable income, and do not need federal loan protections like income-driven repayment or Public Service Loan Forgiveness. Be aware that refinancing federal loans into a private loan eliminates all federal benefits permanently.