{
  "$comment": "Machine-readable companion to https://valem.run/calculators/italy/holiday-entitlement. Formula, inputs, outputs, engine-verified test vectors, cited sources and the re-runnable Valem ModelSpec behind the page.",
  "url": "https://valem.run/calculators/italy/holiday-entitlement",
  "dataUrl": "https://valem.run/calculators/italy/holiday-entitlement.json",
  "license": {
    "name": "CC BY 4.0",
    "url": "https://creativecommons.org/licenses/by/4.0/",
    "attribution": "Italy ferie model by Valem (https://valem.run/calculators/italy/holiday-entitlement), CC BY 4.0.",
    "note": "Covers the model — the expression of each rule and the arrangement of the catalog. The rates and thresholds themselves are law and are not licensed by anyone; the cited sources are where they come from."
  },
  "verificationUrl": "https://valem.run/calculators/italy/holiday-entitlement/verify",
  "country": "italy",
  "countryName": "Italy",
  "formula": "holiday-entitlement",
  "formulaName": "Ferie",
  "title": "Calcolo Ferie Annuali 2026 — Quattro Settimane Minime",
  "answer": "Article 10 of legislative decree 66/2003 gives every employee a paid annual leave period of not less than four weeks. Because it is expressed in weeks of your own working week, that is 20 days on a five-day week and 24 on a six-day one. The four-week minimum cannot be replaced by a payment for untaken leave except on termination.",
  "lang": "en",
  "currency": "EUR",
  "taxYear": "2026",
  "verification": {
    "claim": "internal-consistency",
    "statement": "The Valem engine reproduces this model's stated formula through 6 self-test cases (below, and re-runnable against the spec). That asserts internal consistency, NOT that the formula matches current law — the cited sources are the evidence for that, and carry the date each was last checked.",
    "selfTestCases": 6,
    "ratesAreIllustrative": false,
    "sourcesCheckedOn": "2026-10-11"
  },
  "sources": [
    {
      "label": "D.lgs. 8 aprile 2003, n. 66, art. 10 — lavoro.gov.it's own PDF of the decree (a paid annual leave period of not less than four weeks; not replaceable by an indemnity except on termination)",
      "url": "https://www.lavoro.gov.it/documenti-e-norme/normative/Documents/2003/20030408_DLGS_66.pdf",
      "checked": "2026-10-11"
    },
    {
      "label": "Ministero del Lavoro, Il regime delle ferie e le sue problematiche applicative — lavoro.gov.it (confirms art. 10 in force and partitions the same entitlement as two weeks in the accrual year plus “le restanti due settimane” within 18 months)",
      "url": "https://www.lavoro.gov.it/sites/default/files/archivio-doc-pregressi/AreaLavoro_tutela/Regimeferie.pdf",
      "checked": "2026-10-11"
    }
  ],
  "terminalOutput": "daysRemaining",
  "headlineOutput": "daysEntitled",
  "inputs": [
    {
      "name": "daysPerWeek",
      "type": "number",
      "label": "Days you work per week",
      "minimum": 1,
      "maximum": 7
    },
    {
      "name": "daysTaken",
      "type": "number",
      "label": "Days already taken",
      "minimum": 0
    }
  ],
  "outputs": [
    {
      "name": "weeksEntitled",
      "type": "number",
      "formula": "$const.statutoryWeeks"
    },
    {
      "name": "daysEntitled",
      "type": "number",
      "formula": "$round($const.statutoryWeeks * $n(daysPerWeek), 1)"
    },
    {
      "name": "daysRemaining",
      "type": "number",
      "formula": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
    }
  ],
  "testCases": [
    {
      "description": "N1 four weeks on a five-day week is 20 days",
      "given": {
        "daysPerWeek": 5,
        "daysTaken": 0
      },
      "expect": {
        "weeksEntitled": 4,
        "daysEntitled": 20
      }
    },
    {
      "description": "N2 a six-day week gets 24",
      "given": {
        "daysPerWeek": 6,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 24
      }
    },
    {
      "description": "N3 a four-day week gets 16",
      "given": {
        "daysPerWeek": 4,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 16
      }
    },
    {
      "description": "N4 a three-day week gets 12",
      "given": {
        "daysPerWeek": 3,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 12
      }
    },
    {
      "description": "N5 days already taken come off the remainder",
      "given": {
        "daysPerWeek": 5,
        "daysTaken": 8
      },
      "expect": {
        "daysRemaining": 12
      }
    },
    {
      "description": "N6 taking more than the entitlement never goes negative",
      "given": {
        "daysPerWeek": 5,
        "daysTaken": 40
      },
      "expect": {
        "daysRemaining": 0
      }
    }
  ],
  "spec": {
    "id": "holiday-entitlement-italy",
    "version": "1.0.0",
    "schema": {
      "type": "object",
      "properties": {
        "daysPerWeek": {
          "type": "number",
          "maximum": 7,
          "minimum": 1
        },
        "daysTaken": {
          "type": "number",
          "minimum": 0
        },
        "weeksEntitled": {
          "type": "number",
          "readOnly": true
        },
        "daysEntitled": {
          "type": "number",
          "readOnly": true
        },
        "daysRemaining": {
          "type": "number",
          "readOnly": true
        }
      }
    },
    "constants": {
      "statutoryWeeks": 4
    },
    "library": {
      "layers": [
        {
          "id": "statutory",
          "define": "(\n  /* Shared statutory helpers — the canonical copy (docs/sandbox/d8-statutory-families.md §5.4).\n     DO NOT EDIT A SPEC'S INLINED COPY. Edit this file and run `npm run sync:helpers`; a vitest\n     assertion and a Java assertion both require every inlined copy to be byte-identical to this one.\n\n     Why inlined rather than referenced: the `library` section's `ref` form — a library shared\n     between models — is still proposed, gated on the model-references design (see\n     ../../../../docs/design/library/jsonata-library.md). Inlining keeps each spec self-contained,\n     which is what lets `#e=` embedding, `#share=` import and MCP forking work with no resolver.\n\n     TWO TRAPS, both of which fail SILENTLY and both of which bit during the debt-payoff build:\n\n       1. A library function sees ONLY its arguments. It cannot read the consuming document — not\n          through a bare field name, not through `$`, not through `$$`. Everything these helpers\n          need is passed in. (`$const` is late-bound and so would resolve, but relying on it would\n          couple a shared helper to one spec's constant names.)\n       2. ONE null member wrecks a whole aggregate, and the two engines disagree about how. The JS\n          reference implementation THROWS (\"Argument 1 of function sum must be an array of\n          numbers\"); the Java port can instead yield null for the entire aggregate. Neither gives a\n          partial total, and the null-yielding form is the dangerous one because it is silent. So\n          callers coerce with `$n()` below before aggregating, which makes the behaviour identical\n          in both engines — measured, not assumed: see helpers.test.ts.\n\n       3. A PATH STEP DIRECTLY ON A CALL RESULT RETURNS NOTHING in the Java engine. This matters for\n          every caller of $amortize, which is the one helper here returning an object:\n\n              $amortize(p, r, n, 0).months            -> empty in Java, 360 in JS.  WRONG\n              ($a := $amortize(p, r, n, 0); $a.months) -> 360 in both.               RIGHT\n\n          Bind the result to a variable, then step into it. The JS reference accepts both forms, so\n          this is invisible until the page is served by the real engine, and it fails as a blank\n          field rather than an error. Measured with a probe, not inferred — the field simply does\n          not appear. */\n\n  /* Number coercion with an explicit zero default. The guard against trap 2. */\n  $n := function($v) { $v = null or $not($exists($v)) ? 0 : $number($v) };\n\n  /* ISO date -> its year / month / day parts. String slicing rather than $fromMillis formatting:\n     these are statutory dates (\"2026-04-06\"), and a timezone-sensitive round-trip through millis\n     can shift the day, which silently moves a service anniversary across a band boundary. */\n  $isoY := function($d) { $number($substring($d, 0, 4)) };\n  $isoM := function($d) { $number($substring($d, 5, 2)) };\n  $isoD := function($d) { $number($substring($d, 8, 2)) };\n\n  /* Whole years of completed service between two ISO dates. Counts an anniversary as reached only\n     when the month-and-day has arrived, which is what \"completed years of service\" means in every\n     severance statute — not a 365.25-day division, whose drift crosses a 5-year band boundary in\n     the wrong direction roughly one year in four. */\n  $yearsBetween := function($from, $to) { (\n    $y := $isoY($to) - $isoY($from);\n    $beforeAnniversary := $isoM($to) < $isoM($from)\n      or ($isoM($to) = $isoM($from) and $isoD($to) < $isoD($from));\n    $beforeAnniversary ? $y - 1 : $y\n  ) };\n\n  /* Whole completed months between two ISO dates, same convention. */\n  $monthsBetween := function($from, $to) { (\n    $m := ($isoY($to) - $isoY($from)) * 12 + ($isoM($to) - $isoM($from));\n    $isoD($to) < $isoD($from) ? $m - 1 : $m\n  ) };\n\n  /* Inclusive count of days between two ISO dates — both endpoints counted, because a leave year\n     runs from its first day to its last and an employee present on both is present for both.\n     Pro-rata accrual is then $proRataDays(a, b) / $proRataDays(yearStart, yearEnd). */\n  $proRataDays := function($from, $to) {\n    ($toMillis($to) - $toMillis($from)) / 86400000 + 1\n  };\n\n  /* Progressive charge across bands. `$bands` is ordered lowest-first, each {\"upTo\": n, \"rate\": r};\n     the final band's `upTo` is omitted or null to mean \"no ceiling\". Each band's rate applies ONLY\n     to the slice of the amount inside it — the single most common error in a hand-written bracket\n     walk is applying the top rate to the whole amount. Returns 0 for a non-positive amount. */\n  $bandedCharge := function($amount, $bands) { (\n    $a := $n($amount);\n    $a <= 0 ? 0 : $reduce($bands, function($acc, $band) { (\n      $ceiling := $exists($band.upTo) and $band.upTo != null ? $band.upTo : $a;\n      $top := $ceiling < $a ? $ceiling : $a;\n      $slice := $top - $acc.floor;\n      {\n        \"floor\": $top > $acc.floor ? $top : $acc.floor,\n        \"charge\": $acc.charge + ($slice > 0 ? $slice * $n($band.rate) : 0)\n      }\n    ) }, {\"floor\": 0, \"charge\": 0}).charge\n  ) };\n\n  /* Clamp into [floor, cap]. Either bound may be omitted (null) to leave that side open — a benefit\n     with a cap and no floor is as common as one with both. */\n  $clampFloorCap := function($value, $floor, $cap) { (\n    $v := $n($value);\n    $withFloor := $exists($floor) and $floor != null and $v < $floor ? $floor : $v;\n    $exists($cap) and $cap != null and $withFloor > $cap ? $cap : $withFloor\n  ) };\n\n  /* Level annuity payment for a principal over `$months` at `$annualRatePct` nominal, compounded\n     monthly. Falls back to straight-line division at a zero rate, where the standard formula\n     divides by zero. */\n  $annuityPayment := function($principal, $annualRatePct, $months) { (\n    $p := $n($principal);\n    $m := $n($months);\n    $i := $n($annualRatePct) / 1200;\n    $m <= 0 ? 0 : ($i = 0 ? $p / $m : $p * $i * $power(1 + $i, $m) / ($power(1 + $i, $m) - 1))\n  ) };\n\n  /* Amortisation schedule: one row per month until the balance clears or `$months` is reached.\n     Returns {\"payment\", \"months\", \"totalInterest\", \"schedule\": [{month, interest, principal,\n     balance}]}. `$extra` is an optional monthly overpayment.\n\n     A real month-by-month fold rather than a closed form, because an overpayment changes every\n     later row — the same reason debt-payoff simulates. Bounded by `$months`, so it always\n     terminates. */\n  $amortize := function($principal, $annualRatePct, $months, $extra) { (\n    $i := $n($annualRatePct) / 1200;\n    $pay := $annuityPayment($principal, $annualRatePct, $months) + $n($extra);\n    $r := $reduce([1..$n($months)], function($acc, $month) {\n      $acc.balance <= 0 ? $acc : (\n        /* The running balance is kept UNROUNDED and only the emitted row is rounded. Rounding the\n           balance each month instead accumulates drift: at 200,000 over 360 months it left 2.83\n           still owing in the final row, which would break the \"final balance is zero\" invariant\n           (§7.3) and look to a reader like the schedule does not pay the loan off. Lenders compute\n           on the exact balance and adjust the last payment, which is what this does. */\n        $interest := $acc.balance * $i;\n        $due := $acc.balance + $interest < $pay ? $acc.balance + $interest : $pay;\n        $principalPart := $due - $interest;\n        $balance := $acc.balance - $principalPart;\n        {\n          \"balance\": $balance,\n          \"totalInterest\": $acc.totalInterest + $interest,\n          \"schedule\": $append($acc.schedule, [{\n            \"month\": $month,\n            \"interest\": $round($interest, 2),\n            \"principal\": $round($principalPart, 2),\n            \"balance\": $round($balance, 2)\n          }])\n        }\n      )\n    }, {\"balance\": $n($principal), \"totalInterest\": 0, \"schedule\": []});\n    {\n      \"payment\": $round($pay, 2),\n      \"months\": $count($r.schedule),\n      \"totalInterest\": $round($r.totalInterest, 2),\n      \"schedule\": [$r.schedule]\n    }\n  ) };\n\n  [\"n\", \"isoY\", \"isoM\", \"isoD\", \"yearsBetween\", \"monthsBetween\", \"proRataDays\",\n   \"bandedCharge\", \"clampFloorCap\", \"annuityPayment\", \"amortize\"]\n)\n"
        }
      ]
    },
    "defaultValues": [
      {
        "path": "$",
        "expr": "{ 'daysPerWeek': 5, 'daysTaken': 0 }"
      }
    ],
    "derivations": [
      {
        "path": "$.weeksEntitled",
        "expr": "$const.statutoryWeeks"
      },
      {
        "path": "$.daysEntitled",
        "expr": "$round($const.statutoryWeeks * $n(daysPerWeek), 1)"
      },
      {
        "path": "$.daysRemaining",
        "expr": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
      }
    ],
    "constraints": [],
    "viewDefinition": {
      "renderer": "builtin",
      "defaultView": "main",
      "views": [
        {
          "id": "main",
          "label": "Ferie",
          "layout": "vertical",
          "components": [
            {
              "id": "note",
              "type": "staticText",
              "text": "Art. 10 del d.lgs. 66/2003: “Fermo restando quanto previsto dall’articolo 2109 del codice civile, il prestatore di lavoro ha diritto a un periodo annuale di ferie retribuite non inferiore a quattro settimane.” Four weeks of YOUR week — so 20 days on a five-day week, the same real entitlement as Germany’s 24 Werktage and Poland’s 20 days, published as three different numbers."
            },
            {
              "id": "inputs",
              "type": "fieldSet",
              "label": "I tuoi dati",
              "components": [
                {
                  "id": "daysPerWeek",
                  "type": "numericField",
                  "label": "Days you work per week",
                  "bind": "$.daysPerWeek",
                  "helperText": "Art. 10 counts in weeks, so your own week sets the number of days."
                },
                {
                  "id": "daysTaken",
                  "type": "numericField",
                  "label": "Days already taken",
                  "bind": "$.daysTaken"
                }
              ]
            },
            {
              "id": "sep",
              "type": "separatorLine"
            },
            {
              "id": "entitledTile",
              "type": "statTile",
              "label": "Days entitled",
              "value": "$.daysEntitled"
            },
            {
              "id": "remainingTile",
              "type": "statTile",
              "label": "Days remaining",
              "value": "$.daysRemaining"
            },
            {
              "id": "breakdown",
              "type": "keyValueList",
              "label": "How that is worked out",
              "items": [
                {
                  "label": "Statutory weeks (art. 10)",
                  "value": "$.weeksEntitled"
                }
              ]
            },
            {
              "id": "assumptions",
              "type": "staticText",
              "text": "Art. 10 sets an annual minimum and states no rule for a part year, so this page reports the statutory figure and does not invent a fraction — in practice the monthly accrual comes from the applicable CCNL, which varies by sector. Two rules the decree and the Ministry do state. Art. 10, co. 2: the four-week minimum “non può essere sostituito dalla relativa indennità per ferie non godute, salvo il caso di risoluzione del rapporto di lavoro” — it cannot be bought out except on termination. And on timing, the Ministry’s own guidance: the leave must be taken for at least two weeks, consecutive if the worker asks, during the year it accrues, and the remaining two weeks within the following 18 months, unless collective bargaining provides otherwise. Art. 2109 of the civil code, referenced in art. 10, governs when leave is taken. Collective agreements commonly give more than four weeks."
            },
            {
              "id": "sources",
              "type": "sourceList",
              "label": "Fonti",
              "layers": 1,
              "periodAxis": "flat",
              "items": [
                {
                  "label": "D.lgs. 8 aprile 2003, n. 66, art. 10 — lavoro.gov.it's own PDF of the decree (a paid annual leave period of not less than four weeks; not replaceable by an indemnity except on termination)",
                  "url": "https://www.lavoro.gov.it/documenti-e-norme/normative/Documents/2003/20030408_DLGS_66.pdf",
                  "date": "2026-10-11",
                  "covers": [
                    "statutoryWeeks"
                  ]
                },
                {
                  "label": "Ministero del Lavoro, Il regime delle ferie e le sue problematiche applicative — lavoro.gov.it (confirms art. 10 in force and partitions the same entitlement as two weeks in the accrual year plus “le restanti due settimane” within 18 months)",
                  "url": "https://www.lavoro.gov.it/sites/default/files/archivio-doc-pregressi/AreaLavoro_tutela/Regimeferie.pdf",
                  "date": "2026-10-11",
                  "covers": []
                }
              ]
            }
          ]
        }
      ]
    },
    "tests": [
      {
        "description": "N1 four weeks on a five-day week is 20 days",
        "given": {
          "$.daysPerWeek": 5,
          "$.daysTaken": 0
        },
        "expect": {
          "$.weeksEntitled": 4,
          "$.daysEntitled": 20
        }
      },
      {
        "description": "N2 a six-day week gets 24",
        "given": {
          "$.daysPerWeek": 6,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 24
        }
      },
      {
        "description": "N3 a four-day week gets 16",
        "given": {
          "$.daysPerWeek": 4,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 16
        }
      },
      {
        "description": "N4 a three-day week gets 12",
        "given": {
          "$.daysPerWeek": 3,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 12
        }
      },
      {
        "description": "N5 days already taken come off the remainder",
        "given": {
          "$.daysPerWeek": 5,
          "$.daysTaken": 8
        },
        "expect": {
          "$.daysRemaining": 12
        }
      },
      {
        "description": "N6 taking more than the entitlement never goes negative",
        "given": {
          "$.daysPerWeek": 5,
          "$.daysTaken": 40
        },
        "expect": {
          "$.daysRemaining": 0
        }
      }
    ]
  }
}