Auto Loan Interest Calculator with Extra Payments
This calculator estimates payments, payoff time, and interest for auto loans and shows how one-time or recurring extra payments change the outcome. Use it to compare a baseline monthly amortization against accelerated options.
Enter your loan amount, APR and term. Add a one-time extra or recurring extra payment to see updated payoff months and estimated interest savings. For biweekly schedules the tool uses 26 payments per year (two payments per month in most months) to illustrate typical acceleration effects.
Governance
Record b4a3f1ee78ab • Reviewed by Fidamen Standards Committee
Baseline monthly amortization schedule without extra payments used as the comparison point for savings.
Inputs
Advanced inputs
One-time extra payment
Recurring extra payment
Results
Monthly payment
-$1.53
Term (months)
60
Total interest (no extras)
-$20,091.67
| Output | Value | Unit |
|---|---|---|
| Monthly payment | -$1.53 | USD |
| Term (months) | 60 | months |
| Total interest (no extras) | -$20,091.67 | USD |
Visualization
Methodology
Monthly amortization uses the standard fixed-rate loan formula: payment = P * r / (1 - (1+r)^-N) where r is the periodic rate and N is the number of periods.
One-time and recurring extra payment effects are computed using closed-form formulas for remaining balance and the analytical solution for number of periods remaining using logarithms when the periodic rate is non-zero.
Biweekly schedules use a 26-payment-per-year convention; where exact day-level accrual matters (e.g., leap years or differing billing cycles), results are approximate. All calculations assume payments are applied at scheduled intervals and interest compounds at the stated periodic rate.
Key takeaways
Use the standard amortization results as the baseline. Adding extra payments (one-time or recurring) reduces remaining balance and total interest; recurring small amounts often compound into meaningful savings.
Treat all outputs as estimates. Confirm exact payoff and savings with your lender because billing practices, daily accrual, rounding and fees can change results.
F.A.Q.
Does the calculator account for fees, taxes or insurance?
No. This tool models interest-only amortization on the principal and does not include separate fees, title taxes, GAP insurance, or other charges. Add those to the principal if you want them included in the schedule.
How accurate are the savings estimates for extra payments?
Estimates use analytical formulas and assume scheduled application and compounding at the stated periodic rate. If your lender applies payments differently (daily interest accrual, minimum payment rules, or prepayment penalties) your actual savings may differ.
What happens if APR is zero?
Formulas that divide by the periodic rate require special handling when APR = 0. The calculator falls back to equal principal division (principal / number of periods) in that case. If you rely on a zero-APR promotion, verify with lender statements.
Are biweekly results exact?
Biweekly estimates assume 26 equal payments per year and that each payment is applied immediately. Exact amortization can differ if your lender reindexes payment dates, charges fees, or applies daily interest. Use the biweekly mode as an illustrative comparison.
Sources & citations
- NIST - National Institute of Standards and Technology — https://www.nist.gov
- ISO - International Organization for Standardization — https://www.iso.org
- IEEE - Institute of Electrical and Electronics Engineers (IEEE 754 floating-point guidance) — https://www.ieee.org
- OSHA - Occupational Safety and Health Administration — https://www.osha.gov
- Consumer Financial Protection Bureau - Loan disclosures and APR — 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: b4a3f1ee78abWhat changed (latest)
v1.0.0 • 2025-11-16 • 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 • 2025-11-16 • 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 16, 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 • 2025-11-16 • 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: fdb414b05344
- 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
