calculate-loan

01 Loan payments

Current Student Loan Repayment Plans Explained

Calculator No. 01-4005 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

Current student loan repayment plans depend on the loan type and the rules in force: federal borrowers may have standard, graduated, extended, and income-driven options, while private-loan terms are set by the lender. This page’s calculator estimates the fixed monthly payment and total interest for a single loan when you enter its balance, APR, and term; it does not determine eligibility or calculate a federal plan’s required payment.

Formula

The calculator uses the standard fixed-payment amortization formula. It first converts the annual percentage rate (APR) into a monthly rate, then calculates the payment needed to repay principal and interest over the chosen number of months.

  • Monthly payment: M = round(P × r ÷ [1 − (1 + r)−n], 2)
  • Total interest: I = M × n − P
  • Monthly rate: r = APR ÷ 1,200; number of payments: n = years × 12.

P is the loan principal in dollars, APR is the annual rate entered as a percentage, M is the monthly payment in dollars, and I is total interest in dollars. The payment is rounded to cents before total interest is calculated. This model assumes one loan with a fixed rate and equal monthly payments; actual student loan billing can involve different rules or multiple loans.

Worked Example

Using the calculator’s defaults—$20,000 principal, 8% APR, and a five-year term:

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 months.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to the nearest cent.
  4. Calculate interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The interest rate stays fixed for the full term.
  • Payments are equal, made monthly, and begin on schedule; the model does not represent deferment or missed payments.
  • Interest is modelled monthly at APR divided by 12.
  • Fees, taxes, insurance, penalties, subsidies, and forgiveness are not included.

What student loan repayment plans are available?

In the United States, federal student loans have repayment choices established by federal rules. Broad categories have included fixed-payment plans, plans with payments that rise over time, longer-term plans for qualifying borrowers, and income-driven repayment (IDR) plans. Specific plan names, eligibility, payment formulas, and availability can change; check current information with the loan servicer and the U.S. Department of Education before relying on a plan description.

Private student loans do not use federal repayment plans. Their payment schedule, interest rate, options for temporary relief, and other contract terms depend on the loan agreement. If you have both federal and private loans, treat them separately: a repayment option available for one category may not apply to the other.

How the main plan types differ

  • Standard or fixed-payment schedules: generally spread repayment into scheduled payments, with the amount based on balance, rate, and term. The calculator above illustrates this kind of level-payment arithmetic.
  • Graduated schedules: payments are structured to rise at intervals rather than remain level. A fixed-payment calculator cannot estimate the changing schedule without the plan’s detailed terms.
  • Extended schedules: use a longer repayment period when the borrower and loan meet applicable requirements. A longer term can lower the scheduled payment while increasing the time interest accrues.
  • Income-driven plans: calculate payments using program rules and borrower information, which may include income and family details. This loan calculator cannot estimate an IDR bill or determine whether a borrower qualifies.

Names and rules should not be assumed to remain unchanged. For a federal loan, use the official account and current program materials to confirm which plans are open to you and what a payment would be. For a private loan, review the promissory note and ask the servicer for the repayment schedule.

How to compare plans and use the calculator

Start by identifying whether each loan is federal or private, its current balance, rate type, and present repayment status. Then compare written estimates for the same loans and note what each payment includes. A lower monthly payment alone does not show the total cost or the effect of a longer repayment period.

  • Enter the balance that is actually being repaid, not the original amount borrowed if the balance has changed.
  • Enter APR as a percentage: for example, type 8 for 8%, not 0.08.
  • Enter the term in years. The calculator treats it as a fixed number of monthly payments.
  • Compare the displayed payment and total interest with the servicer’s schedule, and account for any differences in balance, rate, timing, or fees.

For a concrete comparison, a $20,000 balance at the same fixed APR will have a different level payment over five years than over ten years. The longer schedule spreads principal repayment across more months, but interest continues to accrue under the model. Actual plan comparisons require the plan’s own rules and a complete account-specific estimate.

Common repayment questions and limits

A frequent misconception is that every student loan can be placed in an income-driven plan or qualify for forgiveness. That is not something this calculator can establish, and federal and private loans do not share identical options. Ask the servicer which loans are covered and verify current program conditions through official sources.

Another common issue is comparing a plan’s first payment with another plan’s full cost. Graduated payments may change over time; income-driven payments may be recalculated under program rules; and a temporary pause or reduced payment can affect the repayment timeline. The simple formula assumes none of these changes. It also does not model variable rates, capitalization, extra payments, multiple loan groups, or a payment that changes each year.

If your bill seems inconsistent with an estimate, check the outstanding principal, accrued interest, rate, payment due date, and repayment status on the account. Ask the servicer to explain the schedule in writing. A calculator result is not a bill, an eligibility decision, or a promise of a particular program outcome.

Frequently Asked Questions

What are the current student loan repayment plans?
Options depend on whether a loan is federal or private and on current rules and eligibility. Federal categories have included standard, graduated, extended, and income-driven repayment; private terms are set by the loan contract.

Does this calculator show an income-driven payment?
No. It calculates a level payment for a fixed-rate loan and term. Income-driven payments require program-specific rules and borrower information not included here.

Does a longer repayment term reduce total interest?
Not in this fixed-rate model: a longer term usually means more scheduled payments and more time for interest to accrue, even though the monthly payment may be lower. The exact outcome depends on the loan terms and payment history.

Can private student loans use federal repayment plans?
Federal plan rules do not automatically apply to private loans. Check the private loan agreement and ask its servicer about the options available under that contract.

Where can I confirm which plan applies to my loan?
Check your current loan account and contact its servicer. For federal loans, verify plan details and availability through official federal student aid information because program rules can change.

This result is an estimate for educational purposes, and the lender’s or servicer’s disclosure gives the exact figures.

Related

Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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