Fidamen

Student Loan Interest Calculator with Extra Payments

This calculator models fixed-rate student loan amortization and the effect of recurring extra payments or a one-time lump-sum payment. Use it to compare scheduled payments, total interest, and estimated time-to-payoff.

It is intended for planning and illustration. Results are approximate; actual lender processing (timing, application to principal vs future payments, fees) can change outcomes. See methodology and citations for accuracy notes and standards used in implementation.

Updated Nov 15, 2025QA PASS — golden 25 / edge 120Run golden-edge-2026-01-23

Governance

Record b14067b8aec4 • Reviewed by Fidamen Standards Committee

Computes the periodic payment, total paid, and total interest for a standard fixed-rate amortizing loan.

Inputs

Results

Updates as you type

Periodic payment

$318.20

Number of payments

120

Total paid

$38,183.59

Total interest

$8,183.59

OutputValueUnit
Periodic payment$318.20USD
Number of payments120payments
Total paid$38,183.59USD
Total interest$8,183.59USD
Primary result$318.20

Visualization

Methodology

Amortization is calculated using standard fixed-rate formulas: a periodic rate is derived from the APR and payments per year, then standard present-value formulas determine the periodic payment and remaining balance.

When extras are applied, the calculator estimates a new payoff schedule. For recurring extras it solves for the number of payments required given an increased periodic payment. For lump sums it computes the estimated balance at the application time, subtracts the lump amount, and then recomputes remaining payments.

Implementation and numerical behavior follow best practices for numeric stability and safety: tiny positive bounds are applied to denominators to avoid divide-by-zero and domain errors. The software and documentation are developed in alignment with quality and security standards such as ISO 9001 for process quality, IEEE floating-point guidance (IEEE 754) for numeric handling, and NIST recommendations for secure software practices. User safety and clarity follow general workplace safety and accessibility expectations as informed by OSHA guidance.

Worked examples

Example: $30,000 loan, 5% APR, 10 years, monthly payments. The tool shows scheduled monthly payment, total interest, and total paid. Adding $100 extra per month shows reduced payoff time and interest saved.

Example: Same loan with a $5,000 lump-sum applied after 12 payments. The tool estimates the remaining principal after the lump and the new payoff timeline and interest.

F.A.Q.

Are these results exact for my loan?

These are estimations using standard amortization formulas. Actual results may differ because lenders can apply extra payments differently (immediately to principal, to future payments, or hold in suspense), and there may be fees or payment timing differences. Always confirm with your servicer for exact payoff figures.

Does the calculator handle variable rates or income-driven plans?

No. This tool models fixed-rate amortization only. It does not model variable interest rates, graduated payments, or income-driven repayment formulas. For plans with recertification or income adjustments, consult plan-specific calculators or your loan servicer.

How should I interpret interest saved?

Interest saved values are approximations comparing the modeled schedule with extras to the modeled original schedule. They assume all payments are applied as scheduled and that there are no prepayment penalties or fees.

What about rounding and currency?

Displayed monetary values are rounded for readability. Under the hood calculations use numeric safeguards but final payment amounts on a statement may differ by cents due to lender rounding rules.

What safety and accuracy practices were followed?

Numeric safeguards (small positive bounds on denominators, max/min to avoid domain errors) are applied. Development and documentation reference ISO quality principles, IEEE numeric handling guidance, and NIST secure development recommendations. See citations for authoritative sources.

Sources & citations

Further resources

Versioning & Change Control

Audit record (versions, QA runs, reviewer sign-off, and evidence).

Record ID: b14067b8aec4

What changed (latest)

v1.0.02025-11-15MINOR

Initial publication and governance baseline.

Why: Published with reviewed formulas, unit definitions, and UX controls.

Public QA status

PASS — golden 25 + edge 120

Last run: 2026-01-23 • Run: golden-edge-2026-01-23

Engine

v1.0.0

Data

Baseline (no external datasets)

Content

v1.0.0

UI

v1.0.0

Governance

Last updated: Nov 15, 2025

Reviewed by: Fidamen Standards Committee (Review board)

Credentials: Internal QA

Risk level: low

Reviewer profile (entity)

Fidamen Standards Committee

Review board

Internal QA

Entity ID: https://fidamen.com/reviewers/fidamen-standards-committee#person

Semantic versioning

  • MAJOR: Calculation outputs can change for the same inputs (formula, rounding policy, assumptions).
  • MINOR: New features or fields that do not change existing outputs for the same inputs.
  • PATCH: Bug fixes, copy edits, or accessibility changes that do not change intended outputs except for previously incorrect cases.

Review protocol

  • Verify formulas and unit definitions against primary standards or datasets.
  • Run golden-case regression suite and edge-case suite.
  • Record reviewer sign-off with credentials and scope.
  • Document assumptions, limitations, and jurisdiction applicability.

Assumptions & limitations

  • Uses exact unit definitions from the Fidamen conversion library.
  • Internal calculations use double precision; display rounding follows the unit's configured decimal places.
  • Not a substitute for calibrated instruments in regulated contexts.
  • Jurisdiction-specific rules may require official guidance.

Change log

v1.0.02025-11-15MINOR

Initial publication and governance baseline.

Why: Published with reviewed formulas, unit definitions, and UX controls.

Areas: engine, content, ui • Reviewer: Fidamen Standards Committee • Entry ID: bb4fc531523c