How the Austria neue selbständige calculator is verified

Inputs

InputFieldType
Annual profit after expenses (EUR)annualProfitnumber

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)
Svs BasesvsBase$round($min([$max([annualProfit, $const.svsMinBase]), $const.svsMaxBase]), 2)
SVS contributionssvsContributions$round(svsBase * $const.svsRate + $const.accidentPremium, 2)
Taxable IncometaxableIncome$round($max([0, annualProfit - svsContributions]), 2)
Income taxincomeTax($t := taxableIncome; $round($const.r2 * $max([0, $min([$t, $const.b2]) - $const.b1]) + $const.r3 * $max([0, $min([$t, $const.b3]) - $const.b2]) + $const.r4 * $max([0, $min([$t, $const.b4]) - $const.b3]) + $const.r5 * $max([0, $min([$t, $const.b5]) - $const.b4]) + $const.r6 * $max([0, $min([$t, $const.b6]) - $const.b5]) + $const.r7 * $max([0, $t - $const.b6]), 2))
Net income / yearnetIncome$round($max([0, annualProfit - svsContributions - incomeTax]), 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
svsRate0.2683
svsMinBase6613.2
svsMaxBase97020
accidentPremium155.4
b113539
b221992
b336458
b470365
b5104859
b61000000
r20.2
r30.3
r40.4
r50.48
r60.5
r70.55

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 — 50,000 EUR profit — a typical full-time freelancer

given annualProfit50000
expect svsBase50000
expect svsContributions13570.4
expect taxableIncome36429.6
expect incomeTax6021.88
expect netIncome30407.72

Case 2 — 20,000 EUR profit — part-time

given annualProfit20000
expect svsBase20000
expect svsContributions5521.4
expect taxableIncome14478.6
expect incomeTax187.92
expect netIncome14290.68

Case 3 — 150,000 EUR profit — above the maximum contribution base

given annualProfit150000
expect svsBase97020
expect svsContributions26185.87
expect taxableIncome123814.13
expect incomeTax45627.88
expect netIncome78186.25

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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