This calculator estimates the monthly payment and total interest on a fixed-rate loan using its amount, annual percentage rate (APR), and term. Enter the loan details from your disclosure or servicer; the results are general loan arithmetic, not a repayment quote or a determination of what you owe under a federal student-loan program.
Formula
The calculator uses the standard level-payment formula for a fixed-rate loan with monthly payments. It first converts the annual APR to a monthly rate, then calculates the payment that pays down the principal and interest over the selected number of months.
- p = starting loan principal, in dollars.
- apr = annual percentage rate, entered as a percentage, such as 8 for 8%.
- r = monthly interest rate, calculated as apr / 1200.
- n = number of monthly payments, calculated as years × 12.
- pmt = monthly payment, in dollars: p × r / (1 − (1 + r)−n).
- int = estimated total interest, in dollars: pmt × n − p.
The displayed monthly payment is rounded to cents. Total interest uses that rounded payment multiplied by the number of months, then subtracts the starting principal. As a result, the estimate may differ slightly from a servicer’s final amount, particularly if its payment schedule, rounding, or loan terms differ.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and a five-year term—the monthly rate is 8 / 1200 = 0.0066667, and the term is 5 × 12 = 60 payments.
- Apply the level-payment formula: 20,000 × 0.0066667 / [1 − (1 + 0.0066667)−60].
- The monthly payment is approximately $405.53 after rounding to cents.
- Multiply the rounded payment by the number of payments: $405.53 × 60 = $24,331.80.
- Subtract the original principal: $24,331.80 − $20,000 = $4,331.80 estimated total interest.
The formula’s unrounded payment is about $405.528, which rounds to $405.53. The total-interest calculation deliberately uses the displayed, rounded monthly payment, as specified in the calculator.
Assumptions
- The interest rate stays fixed for the entire term.
- Payments are made monthly and on schedule; the formula assumes a regular level payment rather than variable or income-based amounts.
- Interest compounds monthly at APR / 12.
- The estimate excludes fees, taxes, insurance, PMI, and escrow. These items are not inputs in this calculator.
- It treats the entered amount as the principal being repaid. It does not account for prior payments, capitalization, deferment, late charges, or a balance that has changed since origination.
What FAFSA Has to Do With Loan Repayment
FAFSA is the Free Application for Federal Student Aid. It is an application used to provide information for consideration for student aid; it is not a bill, loan contract, payment plan, or repayment calculator. Filling out the FAFSA does not by itself tell you the monthly payment on a loan.
Students and families may encounter different kinds of aid, including grants, work-study, and loans. A grant is not the same thing as a loan that must be repaid, while a loan creates a debt under its own terms. Check the award information and the loan disclosure to identify what was actually borrowed, the interest rate, and the applicable repayment conditions. The word “FAFSA” alone is not enough information to calculate a payment.
Federal student loans can have repayment features and eligibility conditions that a standard fixed-payment formula does not represent. This page does not describe or determine program rules, repayment-plan eligibility, forgiveness, deferment, or discharge. For those details, consult the loan servicer or the relevant program’s official information.
How to Use the Estimate
For a meaningful estimate, use the current principal balance if you already have a loan—not necessarily the amount originally borrowed. Enter the APR as a percent, not a decimal: enter 6.5 for 6.5%, for example. Enter the repayment term in years. If your documents give the term in months, divide the number of months by 12 before entering it.
Compare the calculator’s assumptions with your actual loan terms. A fixed-rate, level-payment loan is the situation this formula models. If payments vary, the rate changes, interest is subsidized or treated differently, or the loan is in an unusual status, the estimate may not track the actual balance or required payment. A servicer’s account information and payment schedule are the relevant sources for amounts due.
- Monthly payment is the calculated regular payment under the entered assumptions.
- Total interest is the estimated interest over the full term, not the total amount paid. Estimated principal plus interest equals the estimated payments over the schedule.
- Longer terms generally spread repayment across more payments; the exact payment and total interest depend on the APR and the formula.
- Extra payments are not included. The calculator assumes only the scheduled level payment, so it cannot estimate a payoff date or the effect of additional payments.
Common Mistakes and Limits
A frequent misunderstanding is that FAFSA itself sets a borrower’s monthly repayment amount. It does not: the loan’s balance, rate, repayment terms, and any applicable program arrangements matter. Another mistake is using the original loan amount when the current balance is the relevant figure for estimating payments from today onward.
Rounding can also cause small differences. Servicers may calculate interest using specific dates, apply payments in a particular order, and round each transaction. This calculator uses a monthly rate and a rounded level payment, so it is an educational estimate rather than an account-level ledger. It also does not add fees or model a different payment schedule.
If you have several loans, calculate each separately using its own balance, APR, and term. Adding the individual monthly estimates can provide a rough combined figure only when each loan follows the assumptions above. A single blended rate or term may conceal differences between loans and should not be treated as an exact payment obligation.
Frequently Asked Questions
Does FAFSA tell me my loan repayment amount?
No. FAFSA is an aid application, not a repayment schedule. Use the loan disclosure or servicer information for the balance, rate, and repayment terms needed to estimate a payment.
Do I have to repay FAFSA?
FAFSA itself is not money borrowed and is not repaid. Some types of financial aid are loans, while other aid may have different terms. Check the award and loan documents to determine which aid is debt.
Can this calculator show my federal student-loan payment?
It estimates a fixed monthly payment from a principal, APR, and term. It does not determine federal program eligibility, income-based amounts, forgiveness, or other program-specific outcomes; ask your servicer about those.
Should I enter my original loan amount or current balance?
For an estimate of payments from now, enter the current principal balance and the remaining term, if the loan follows the calculator’s fixed-payment assumptions. For a new loan, enter the amount borrowed.
Why does my servicer’s figure differ?
The loan may have a different balance, payment schedule, rate, remaining term, fees, or interest calculation. The calculator also rounds the monthly payment and excludes program-specific rules and account activity.
This result is an estimate; the lender’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 | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 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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