{
  "$comment": "Machine-readable companion to https://valem.run/calculators/south-korea/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/south-korea/holiday-entitlement",
  "dataUrl": "https://valem.run/calculators/south-korea/holiday-entitlement.json",
  "license": {
    "name": "CC BY 4.0",
    "url": "https://creativecommons.org/licenses/by/4.0/",
    "attribution": "South Korea 연차 유급휴가 model by Valem (https://valem.run/calculators/south-korea/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/south-korea/holiday-entitlement/verify",
  "country": "south-korea",
  "countryName": "South Korea",
  "formula": "holiday-entitlement",
  "formulaName": "연차 유급휴가",
  "title": "연차 계산기 2026 — South Korea annual leave (15–25 days)",
  "answer": "Under article 60 of the Labor Standards Act a worker who attended at least 80% of the year gets 15 days of paid annual leave. Before completing a year, or below 80% attendance, it is one day per month of perfect attendance. From three years of service one day is added for every two years beyond the first, up to 25 days.",
  "lang": "en",
  "currency": "KRW",
  "taxYear": "2026",
  "verification": {
    "claim": "internal-consistency",
    "statement": "The Valem engine reproduces this model's stated formula through 9 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": 9,
    "ratesAreIllustrative": false,
    "sourcesCheckedOn": "2026-10-12"
  },
  "sources": [
    {
      "label": "근로기준법 (Labor Standards Act) 제60조 연차 유급휴가 — 국가법령정보센터, 현행 (시행 2026-10-08, 법률 제21533호)",
      "url": "https://www.law.go.kr/LSW/lsInfoP.do?lsiSeq=285279&efYd=20261008",
      "checked": "2026-10-12"
    }
  ],
  "terminalOutput": "daysRemaining",
  "headlineOutput": "daysEntitled",
  "inputs": [
    {
      "name": "serviceYears",
      "type": "number",
      "label": "Years of continuous service",
      "minimum": 0,
      "maximum": 50
    },
    {
      "name": "attendance80",
      "type": "boolean",
      "label": "Attended at least 80% of the last year"
    },
    {
      "name": "perfectAttendanceMonths",
      "type": "number",
      "label": "Months of perfect attendance (first year, or under 80%)",
      "minimum": 0,
      "maximum": 12
    },
    {
      "name": "daysTaken",
      "type": "number",
      "label": "Days already taken",
      "minimum": 0
    }
  ],
  "outputs": [
    {
      "name": "completedYears",
      "type": "number",
      "formula": "$floor($n(serviceYears))"
    },
    {
      "name": "daysEntitled",
      "type": "number",
      "formula": "($m := $n(perfectAttendanceMonths); $m := $m > 12 ? 12 : ($m < 0 ? 0 : $floor($m)); (completedYears < 1 or $not(attendance80)) ? $m * $const.daysPerPerfectMonth : (completedYears >= $const.longServiceFromYears ? ($d := $const.daysFullYear + $floor((completedYears - 1) / $const.yearsPerExtraDay); $d > $const.maxDays ? $const.maxDays : $d) : $const.daysFullYear))"
    },
    {
      "name": "daysRemaining",
      "type": "number",
      "formula": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
    }
  ],
  "testCases": [
    {
      "description": "K1 one year at 80%+ attendance: 15 days",
      "given": {
        "serviceYears": 1,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 15
      }
    },
    {
      "description": "K2 still 15 at two years",
      "given": {
        "serviceYears": 2,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 15
      }
    },
    {
      "description": "K3 three years adds the first extra day: 16",
      "given": {
        "serviceYears": 3,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 16
      }
    },
    {
      "description": "K4 five years: 17",
      "given": {
        "serviceYears": 5,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 17
      }
    },
    {
      "description": "K5 21 years reaches the 25-day cap",
      "given": {
        "serviceYears": 21,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 25
      }
    },
    {
      "description": "K6 and the cap holds at 30 years",
      "given": {
        "serviceYears": 30,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 25
      }
    },
    {
      "description": "K7 first year: one day per month of perfect attendance",
      "given": {
        "serviceYears": 0,
        "attendance80": true,
        "perfectAttendanceMonths": 7,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 7
      }
    },
    {
      "description": "K8 under 80% attendance falls back to the monthly rule",
      "given": {
        "serviceYears": 6,
        "attendance80": false,
        "perfectAttendanceMonths": 9,
        "daysTaken": 0
      },
      "expect": {
        "daysEntitled": 9
      }
    },
    {
      "description": "K9 days taken never push the remainder negative",
      "given": {
        "serviceYears": 1,
        "attendance80": true,
        "perfectAttendanceMonths": 0,
        "daysTaken": 40
      },
      "expect": {
        "daysRemaining": 0
      }
    }
  ],
  "spec": {
    "id": "holiday-entitlement-south-korea",
    "version": "1.0.0",
    "schema": {
      "type": "object",
      "properties": {
        "serviceYears": {
          "type": "number",
          "minimum": 0,
          "maximum": 50
        },
        "attendance80": {
          "type": "boolean"
        },
        "perfectAttendanceMonths": {
          "type": "number",
          "minimum": 0,
          "maximum": 12
        },
        "daysTaken": {
          "type": "number",
          "minimum": 0
        },
        "completedYears": {
          "type": "number",
          "readOnly": true
        },
        "daysEntitled": {
          "type": "number",
          "readOnly": true
        },
        "daysRemaining": {
          "type": "number",
          "readOnly": true
        }
      }
    },
    "constants": {
      "daysFullYear": 15,
      "daysPerPerfectMonth": 1,
      "longServiceFromYears": 3,
      "yearsPerExtraDay": 2,
      "maxDays": 25
    },
    "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": "{ 'serviceYears': 3, 'attendance80': true, 'perfectAttendanceMonths': 0, 'daysTaken': 0 }"
      }
    ],
    "derivations": [
      {
        "path": "$.completedYears",
        "expr": "$floor($n(serviceYears))"
      },
      {
        "path": "$.daysEntitled",
        "expr": "($m := $n(perfectAttendanceMonths); $m := $m > 12 ? 12 : ($m < 0 ? 0 : $floor($m)); (completedYears < 1 or $not(attendance80)) ? $m * $const.daysPerPerfectMonth : (completedYears >= $const.longServiceFromYears ? ($d := $const.daysFullYear + $floor((completedYears - 1) / $const.yearsPerExtraDay); $d > $const.maxDays ? $const.maxDays : $d) : $const.daysFullYear))"
      },
      {
        "path": "$.daysRemaining",
        "expr": "($r := daysEntitled - $n(daysTaken); $r < 0 ? 0 : $round($r, 1))"
      }
    ],
    "constraints": [],
    "viewDefinition": {
      "renderer": "builtin",
      "defaultView": "main",
      "views": [
        {
          "id": "main",
          "label": "연차 유급휴가",
          "layout": "vertical",
          "components": [
            {
              "id": "note",
              "type": "staticText",
              "text": "근로기준법 제60조 ①: «사용자는 1년간 80퍼센트 이상 출근한 근로자에게 15일의 유급휴가를 주어야 한다.» ②: a worker with less than a year of continuous service, or under 80% attendance, gets one paid day for each month of perfect attendance. ④: from three years of continuous service, one day is added for every two years beyond the first — capped at 25 days in total. Unused leave lapses after a year unless the employer caused it (⑦)."
            },
            {
              "id": "inputs",
              "type": "fieldSet",
              "label": "Your details",
              "components": [
                {
                  "id": "serviceYears",
                  "type": "numericField",
                  "label": "Years of continuous service",
                  "bind": "$.serviceYears",
                  "helperText": "Completed years only."
                },
                {
                  "id": "attendance80",
                  "type": "checkboxField",
                  "label": "Attended at least 80% of the last year",
                  "bind": "$.attendance80",
                  "helperText": "Work-injury leave, maternity leave and parental leave count as attendance (art. 60 ⑥)."
                },
                {
                  "id": "months",
                  "type": "numericField",
                  "label": "Months of perfect attendance (first year, or under 80%)",
                  "bind": "$.perfectAttendanceMonths",
                  "helperText": "Used only in the first year or when attendance was under 80%: one day per month."
                },
                {
                  "id": "daysTaken",
                  "type": "numericField",
                  "label": "Days already taken",
                  "bind": "$.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": "Completed years of continuous service",
                  "value": "$.completedYears"
                }
              ]
            },
            {
              "id": "assumptions",
              "type": "staticText",
              "text": "Art. 60 applies to workplaces with five or more employees. Leave is taken when the worker asks, unless that would seriously disrupt the business, and is paid at ordinary or average wages under the rules of employment. Annual leave in Korea is counted in working days. Leave pay is not computed here."
            },
            {
              "id": "sources",
              "type": "sourceList",
              "label": "Sources",
              "layers": 1,
              "items": [
                {
                  "label": "근로기준법 (Labor Standards Act) 제60조 연차 유급휴가 — 국가법령정보센터, 현행 (시행 2026-10-08, 법률 제21533호)",
                  "url": "https://www.law.go.kr/LSW/lsInfoP.do?lsiSeq=285279&efYd=20261008",
                  "date": "2026-10-12",
                  "covers": [
                    "daysFullYear",
                    "daysPerPerfectMonth",
                    "longServiceFromYears",
                    "yearsPerExtraDay",
                    "maxDays"
                  ]
                }
              ]
            }
          ]
        }
      ]
    },
    "tests": [
      {
        "description": "K1 one year at 80%+ attendance: 15 days",
        "given": {
          "$.serviceYears": 1,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 15
        }
      },
      {
        "description": "K2 still 15 at two years",
        "given": {
          "$.serviceYears": 2,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 15
        }
      },
      {
        "description": "K3 three years adds the first extra day: 16",
        "given": {
          "$.serviceYears": 3,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 16
        }
      },
      {
        "description": "K4 five years: 17",
        "given": {
          "$.serviceYears": 5,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 17
        }
      },
      {
        "description": "K5 21 years reaches the 25-day cap",
        "given": {
          "$.serviceYears": 21,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 25
        }
      },
      {
        "description": "K6 and the cap holds at 30 years",
        "given": {
          "$.serviceYears": 30,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 25
        }
      },
      {
        "description": "K7 first year: one day per month of perfect attendance",
        "given": {
          "$.serviceYears": 0,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 7,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 7
        }
      },
      {
        "description": "K8 under 80% attendance falls back to the monthly rule",
        "given": {
          "$.serviceYears": 6,
          "$.attendance80": false,
          "$.perfectAttendanceMonths": 9,
          "$.daysTaken": 0
        },
        "expect": {
          "$.daysEntitled": 9
        }
      },
      {
        "description": "K9 days taken never push the remainder negative",
        "given": {
          "$.serviceYears": 1,
          "$.attendance80": true,
          "$.perfectAttendanceMonths": 0,
          "$.daysTaken": 40
        },
        "expect": {
          "$.daysRemaining": 0
        }
      }
    ]
  }
}