How the Germany freiberufler calculator is verified

Inputs

InputFieldType
Annual revenue (EUR)annualRevenuenumber

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)
Taxable profit (after allowance)taxableProfit$round($max([0, annualRevenue - $const.basicAllowance]), 2)
Income taxincomeTax$round(taxableProfit * (taxableProfit <= $const.highRateThreshold ? $const.lowRate : $const.highRate), 2)
Net income / year (before insurance)netIncome$round($max([0, annualRevenue - 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
basicAllowance12348
lowRate0.25
highRate0.35
highRateThreshold60000

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 — 70,000 EUR revenue, in the low illustrative tier

given annualRevenue70000
expect taxableProfit57652
expect incomeTax14413
expect netIncome55587

Case 2 — 100,000 EUR revenue, in the high illustrative tier

given annualRevenue100000
expect taxableProfit87652
expect incomeTax30678.2
expect netIncome69321.8

Case 3 — 10,000 EUR revenue, entirely under the basic allowance

given annualRevenue10000
expect taxableProfit0
expect incomeTax0
expect netIncome10000

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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