Expected loss (frequency × severity) API

Compute the expected loss cost = claim probability × claim severity × exposure units, the actuarial loss-cost / expected-claims primitive, with expected claim count and per-unit loss cost. Deterministic. Answers 'what is the expected loss', 'frequency times severity', 'expected claims cost', 'loss cost per exposure unit'.

Price$0.01per request

MethodPOST

Route/v1/calc/ins-expected-loss

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcinsuranceexpected-lossloss-costactuarialfrequencyseverityratemaking

API URLhttps://x402.hexl.dev/v1/calc/ins-expected-loss

Integration docs

Example request

{
  "claimProbability": 0.05,
  "claimSeverity": 8000,
  "exposureUnits": 100
}

Example response

{
  "method": "expected loss (frequency × severity)",
  "expectedLossCost": 40000,
  "expectedClaims": 5,
  "lossCostPerUnit": 400,
  "inputs": {
    "claimProbability": 0.05,
    "claimSeverity": 8000,
    "exposureUnits": 100
  }
}

Input schema

{
  "type": "object",
  "required": [
    "claimProbability",
    "claimSeverity"
  ],
  "properties": {
    "claimProbability": {
      "type": "number",
      "examples": [
        0.05
      ],
      "description": "0..1"
    },
    "claimSeverity": {
      "type": "number",
      "examples": [
        8000
      ]
    },
    "exposureUnits": {
      "type": "number",
      "examples": [
        100
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}