How the Switzerland mwst (vat) calculator is verified

Inputs

Input	Field	Type
Amount	`amount`	number
Direction	`direction`	string
What is being supplied	`category`	string
Annual turnover	`annualTurnover`	number
B2B reverse charge applies	`reverseCharge`	boolean

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)
Rate	`rate`	`category = 'reduced1' ? $const.reducedRate1 : category = 'reduced2' ? $const.reducedRate2 : $const.standardRate`
Effective Rate	`effectiveRate`	`reverseCharge ? 0 : rate`
Net Amount	`netAmount`	`direction = 'remove' ? $round(amount / (1 + effectiveRate), 2) : $round(amount, 2)`
Vat Amount	`vatAmount`	`$round(netAmount * effectiveRate, 2)`
Gross Amount	`grossAmount`	`$round(netAmount + vatAmount, 2)`
Must Register	`mustRegister`	`annualTurnover >= $const.registrationThreshold`

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
`standardRate`	0.081
`reducedRate1`	0.026
`reducedRate2`	0.038
`registrationThreshold`	100000

Test vectors (7)

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 CHF net at the Normalsatz

given `amount`	100
given `direction`	add
given `category`	standard
given `reverseCharge`	no
given `annualTurnover`	0
expect `vatAmount`	8.1
expect `grossAmount`	108.1
expect `netAmount`	100

Case 2 — S2 108.10 CHF gross back to net at 8,1%

given `amount`	108.1
given `direction`	remove
given `category`	standard
given `reverseCharge`	no
given `annualTurnover`	0
expect `netAmount`	100
expect `vatAmount`	8.1

Case 3 — S3 100.00 CHF net at the reduzierter Satz

given `amount`	100
given `direction`	add
given `category`	reduced1
given `reverseCharge`	no
given `annualTurnover`	0
expect `vatAmount`	2.6
expect `grossAmount`	102.6

Case 4 — S4 100.00 CHF a night at the Beherbergung Sondersatz

given `amount`	100
given `direction`	add
given `category`	reduced2
given `reverseCharge`	no
given `annualTurnover`	0
expect `vatAmount`	3.8
expect `grossAmount`	103.8

Case 5 — S5 reverse charge: the supplier charges no MWST

given `amount`	100
given `direction`	add
given `category`	standard
given `reverseCharge`	yes
given `annualTurnover`	0
expect `vatAmount`	0
expect `grossAmount`	100

Case 6 — S6 turnover of EXACTLY 100 000 is already liable (erreicht, not ueberschritten)

given `amount`	100
given `direction`	add
given `category`	standard
given `reverseCharge`	no
given `annualTurnover`	100000
expect `mustRegister`	true

Case 7 — S7 one franc under the figure: not liable

given `amount`	100
given `direction`	add
given `category`	standard
given `reverseCharge`	no
given `annualTurnover`	99999
expect `mustRegister`	false

Sources

ESTV - Schweizer Mehrwertsteuersaetze (8,1% / 2,6% / 3,8%) · checked 2026-10-05
ESTV - Mehrwertsteuer: Umsatzgroesse 100 000 Franken · checked 2026-10-05

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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