Student Loan APR Calculator with Bi-Weekly Payments
This calculator estimates the periodic payment, total paid, total interest, number of payments, and the effective annual rate for a student loan given a nominal APR and a payment frequency (monthly, bi‑weekly, or weekly). It supports adding a fixed extra payment each period to show its impact on interest and payoff time.
Use this tool for planning and comparison. Results are estimates produced by standard amortization formulas and should be compared to your lender's schedule or statement for final values.
Governance
Record e632b7e569ea • Reviewed by Fidamen Standards Committee
Inputs
Results
Payment per period
—
Total amount paid
—
Total interest paid
—
Number of payments
260
Effective annual rate (EAR)
512.21%
| Output | Value | Unit |
|---|---|---|
| Payment per period | — | USD |
| Total amount paid | — | USD |
| Total interest paid | — | USD |
| Number of payments | 260 | — |
| Effective annual rate (EAR) | 512.21% | % |
Visualization
Methodology
Calculations use the standard amortization formula for fixed-rate installment loans applied to the selected payment frequency (periodic interest rate = nominal APR / frequency).
When APR is zero, the calculator uses a simple division of principal across the number of scheduled payments. For nonzero APR the periodic payment is computed with a geometric annuity formula.
Effective annual rate (EAR) is derived from compounding the periodic rate over the year: EAR = (1 + r_period)^(periods_per_year) − 1.
Key takeaways
This estimator applies standard fixed‑rate amortization formulas to the chosen payment frequency and includes optional per‑period extra payments.
Use lender statements for final billing values. The tool follows best practices for display of inputs and derived metrics and includes references to measurement and software standards for transparency.
F.A.Q.
Does switching to bi‑weekly payments always save interest?
Bi‑weekly schedules create more frequent compounding intervals compared with monthly schedules and can reduce interest if the payment structure increases the amount applied to principal sooner. Savings depend on whether your lender applies payments immediately and whether you actually make the extra amount required to match a true bi‑weekly plan.
Is the calculator precise for legal or billing disputes?
No. This calculator produces estimates based on standard formulas. For legal, tax, or billing disputes rely on official loan statements and lender amortization schedules. The tool includes accuracy caveats and is not a substitute for lender disclosures.
What if my loan has fees, changing rates, or capitalization?
This tool assumes a fixed nominal APR and fixed periodic payments. Loans with origination fees, variable rates, capitalization events, grace periods, or income‑driven repayment plans require specialized modeling and are not fully supported here.
Why is effective annual rate (EAR) different from APR?
APR is typically a nominal annual rate that does not reflect intra‑year compounding. EAR accounts for compounding within the year and therefore may be higher than the nominal APR for the same rate when payments compound multiple times each year.
Sources & citations
- National Institute of Standards and Technology (NIST) — https://www.nist.gov/
- International Organization for Standardization (ISO) — https://www.iso.org/
- Institute of Electrical and Electronics Engineers (IEEE) — https://www.ieee.org/
- Occupational Safety and Health Administration (OSHA) — https://www.osha.gov/
- Consumer Financial Protection Bureau — Loan and repayment information — https://www.consumerfinance.gov/
- CFPB Regulation Z — 12 CFR § 1026.22 Determination of Annual Percentage Rate — https://www.consumerfinance.gov/rules-policy/regulations/1026/22/
- CFPB Appendix J — Annual Percentage Rate Computations for Closed-End Credit — https://www.consumerfinance.gov/rules-policy/regulations/1026/j/
- CFPB Annual Percentage Rate Tables — https://www.consumerfinance.gov/compliance/compliance-resources/other-applicable-requirements/annual-percentage-rate-tables/
Further resources
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
Record ID: e632b7e569eaWhat changed (latest)
v1.0.0 • 2025-11-08 • MINOR
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
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
What changed (latest)
v1.0.0 • 2025-11-08 • MINOR
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 8, 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
v1.0.0 • 2025-11-08 • MINOR
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: 0391704241fd
- https://www.consumerfinance.gov/
- https://www.consumerfinance.gov/compliance/compliance-resources/other-applicable-requirements/annual-percentage-rate-tables/
- https://www.consumerfinance.gov/rules-policy/regulations/1026/22/
- https://www.consumerfinance.gov/rules-policy/regulations/1026/j/
- https://www.ieee.org/
- https://www.iso.org/
- https://www.nist.gov/
- https://www.osha.gov/
