How the New Zealand rego & ruc calculator is verified

Inputs

InputFieldType
Fuel typefuelstring
Annual distance (km)kmnumber

The formula

Each derived value below is computed by the Valem engine from the expression shown, in this order. Nothing else runs — there is no hidden code path.

Derived valueFieldFormula (JSONata)
RUC rate per 1,000 kmrucRate($f := fuel; $f = 'diesel' or $f = 'ev' ? $const.rucPer1000 : $f = 'phev' ? $const.rucPhevPer1000 : 0)
Road User Chargesruc$round(km / 1000 * rucRate, 2)
Annual totaltotal$round($const.rego + ruc, 2)

Rates and thresholds

The expressions above read these as $const. They are the figures the annual refresh replaces, so they live as data rather than being written into the formulas — which is what makes a year-on-year change a one-line diff instead of an edit to arithmetic.

ConstantValue
rego107
rucPer100076
rucPhevPer100038

Test vectors (4)

Every case is executed against this model on each build, by the Java engine and independently by a JavaScript one. A mismatch of a single cent fails the build, so the page cannot ship advertising a figure the model no longer produces.

Case 1 — C1 petrol car — licence only, no RUC

given fuelpetrol
given km0
expect rucRate0
expect ruc0
expect total107

Case 2 — C2 diesel, 12,000 km — RUC plus licence

given fueldiesel
given km12000
expect rucRate76
expect ruc912
expect total1019

Case 3 — C3 electric, 12,000 km — same RUC as diesel since 1 July 2026

given fuelev
given km12000
expect ruc912
expect total1019

Case 4 — C4 plug-in hybrid, 12,000 km — half the RUC rate

given fuelphev
given km12000
expect rucRate38
expect ruc456
expect total563

Sources

Check it yourself — and reuse it

The whole model as JSON — inputs, outputs, formulas, vectors and sources in one re-runnable document.

This model is published under CC BY 4.0: use it, adapt it, build on it, with attribution. The licence covers the model — the expression of each rule and the arrangement of the catalog. The rates and thresholds are law, and nobody licenses those; the sources above are where they come from.

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