Monthly Payment
$ {{ format(monthlyPayment) }}
$ {{ format(totalPrincipal) }} Principal $ {{ format(totalInterest) }} Interest {{ ((totalPrincipal/totalCost)*100).toFixed(0) }} % P / {{ ((totalInterest/totalCost)*100).toFixed(0) }} % I
$
% / yr
yrs mos
$
$
Year Principal Paid ($) Interest Paid ($) Ending Balance ($)
{{ r.year }} {{ format(r.principalYear) }} {{ format(r.interestYear) }} {{ format(r.balance) }}
Month Principal ($) Interest ($) Payment ($) Balance ($)
{{ r.period }} {{ format(r.principal) }} {{ format(r.interest) }} {{ format(r.payment) }} {{ format(r.balance) }}

Introduction:

Auto-loan amortisation spreads the cost of a vehicle across equal instalments. Each payment covers interest, calculated on the remaining balance, and repays part of the principal, steadily shrinking that balance and reducing future interest. Understanding this interplay helps you gauge the real cost of borrowing and the benefit of paying faster.

This calculator models that amortisation in real time. Enter the loan amount, annual interest rate, and term, then optionally add a down payment or extra monthly contribution. A reactive engine instantly computes the required payment, builds a month-by-month schedule, and renders visual comparisons of principal versus interest and the declining balance.

Use it to compare offers before visiting a dealership, testing how different rates, down payments, terms, or extra payments affect monthly affordability and lifetime cost, and to see precisely when the loan might be cleared ahead of schedule. Figures are estimates only; consult a qualified adviser for personalised guidance.

Technical Details:

Foundational Principles

Calculations follow standard amortisation theory and the time-value-of-money principle. Interest accrues on the current outstanding principal at a fixed monthly rate, while repayment of principal reduces that base. Additional payments shorten the schedule because interest is always computed on the reduced balance.

Formula Overview

M= Pi 1(1+i)n +E

Variables & Parameters

SymbolDefinitionTypical RangeSensitivity
PPrincipal after down payment$1 000 – $150 000Directly proportional
iMonthly interest rate0 % – 1 % (APR/12)Exponential impact
nTotal months12 – 120Exponential impact
EExtra monthly payment$0 – $1 000High for long terms
MMonthly payment resultCalculated

Scoring & Categorisation

APR BandDescription
< 3 %Low-cost credit
3 – 6 %Standard market rate
> 6 %High-cost borrowing

Representative Calculations

Example: P = 30 000, i = 0.045 / 12 = 0.00375, n = 60, E = 0.

M= 300000.00375 1(1.00375)60 =559.29

Monthly payment is $559.29; total interest after 60 months is $3 557.43.

Edge Cases & Assumptions

  • Zero interest: payment simplifies to P / n.
  • Extra payment greater than scheduled amount ends the loop early.
  • Loop caps at 1 200 iterations to avoid runaway calculations.
  • Values rounded to two decimals for display, eight for internal balance.

Performance & Stability

The computation is O(n) and executes instantly in modern browsers. A loop-limit guard and fixed-precision rounding prevent cumulative floating-point drift.

Step-by-Step Guide:

Follow this flow from top to bottom; calculations refresh automatically.

  1. Enter the Loan amount you wish to finance.
  2. Set the Interest rate expressed as a yearly percentage.
  3. Choose loan Years and remaining Months.
  4. Expand Advanced to record any Down payment or Extra payment.
  5. Review the summary box; switch tabs to see annual tables, monthly tables, or interactive charts.
  6. Download CSV schedules before closing the page if you need a copy.

FAQ:

How accurate are the results?

The calculator uses exact amortisation formulas and eight-decimal internal precision, so rounding is the only minor source of variance.

What counts as an extra payment?

An amount added to every monthly instalment. One-off lump-sum prepayments are not yet supported.

Why does the loan sometimes end early?

When principal reaches zero before the planned term—often due to extra payments—the loop stops and schedules adjust automatically.

Is my data stored?

No. All calculations run locally in your browser, and nothing is transmitted or saved.

Can I model variable rates?

Not directly. Enter the highest expected rate for a conservative estimate, or rerun scenarios with different rates.

Glossary:

Principal
Amount borrowed after down payment.
APR
Annual percentage rate converted to monthly for calculations.
Amortisation
Gradual repayment schedule mixing interest and principal.
Extra payment
Fixed over-payment applied each month to shorten the term.
Balance
Outstanding principal after each instalment.

No data is transmitted or stored server-side.

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