How the Denmark moms (vat) calculator is verified

Inputs

InputFieldType
Amountamountnumber
Directiondirectionstring
B2B reverse charge appliesreverseChargeboolean

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)
Raterate$const.standardRate
Effective RateeffectiveRatereverseCharge ? 0 : rate
Net AmountnetAmountdirection = 'remove' ? $round(amount / (1 + effectiveRate), 2) : $round(amount, 2)
Vat AmountvatAmount$round(netAmount * effectiveRate, 2)
Gross AmountgrossAmount$round(netAmount + vatAmount, 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
standardRate0.25

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 — S1 100.00 DKK net at 25%

given amount100
given directionadd
given reverseChargeno
expect vatAmount25
expect grossAmount125
expect netAmount100

Case 2 — S2 125.00 DKK gross back to net

given amount125
given directionremove
given reverseChargeno
expect netAmount100
expect vatAmount25

Case 3 — S3 reverse charge: the supplier charges no moms

given amount100
given directionadd
given reverseChargeyes
expect vatAmount0
expect grossAmount100

Case 4 — S4 a round 1 000.00 DKK invoice

given amount1000
given directionadd
given reverseChargeno
expect vatAmount250
expect grossAmount1250

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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