How the Austria motorsteuer calculator is verified
Inputs
| Input | Field | Type |
|---|---|---|
| Leistung (kW) | kw | number |
| CO₂ (g/km) | co2 | number |
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 value | Field | Formula (JSONata) |
|---|---|---|
| Pro Monat | monthly | ($k := kw - $const.kwFree; $k := $k > $const.minKw ? $k : $const.minKw; $c := co2 - $const.co2Free; $c := $c > $const.minCo2 ? $c : $const.minCo2; $round(($k + $c) * $const.rate, 2)) |
| Pro Jahr | annual | $round(monthly * 12, 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.
| Constant | Value |
|---|---|
kwFree | 62 |
co2Free | 106 |
rate | 0.72 |
minKw | 5 |
minCo2 | 5 |
Test vectors (3)
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 85 kW, 120 g/km — 2026 Abzugswerte
given kw | 85 |
|---|---|
given co2 | 120 |
expect monthly | 26.64 |
expect annual | 319.68 |
Case 2 — C2 147 kW, 180 g/km
given kw | 147 |
|---|---|
given co2 | 180 |
expect monthly | 114.48 |
expect annual | 1373.76 |
Case 3 — C3 kleines E-freundliches Auto — die Mindestwerte von 5 greifen
given kw | 60 |
|---|---|
given co2 | 95 |
expect monthly | 7.2 |
expect annual | 86.4 |
Sources
- oesterreich.gv.at · checked 2026-08-05
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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