AMM impermanent loss calculator API

Compute impermanent loss for a constant-product (x·y=k, Uniswap-v2-style) 50/50 LP using the canonical closed form IL = 2·√k/(1+k) − 1 where k is the price ratio — plus LP-vs-HODL value for a deposit. Deterministic AMM math LLMs get wrong. Answers 'what's my impermanent loss if price 4x','LP vs HODL value','IL for a 50/50 pool'.

Price$0.01per request

MethodPOST

Route/v1/calc/cryptocalc-impermanent-loss

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calccryptodefiimpermanent-lossammliquidityuniswaplp

API URLhttps://x402.hexl.dev/v1/calc/cryptocalc-impermanent-loss

Integration docs

Example request

{
  "priceRatio": 4,
  "deposit": 1000
}

Example response

{
  "formula": "IL = 2·√k/(1+k) − 1, k = priceEnd/priceStart",
  "priceRatio": 4,
  "impermanentLoss": 0.2,
  "impermanentLossPct": 20,
  "valueFactorLpVsHodl": 0.8,
  "deposit": 1000,
  "hodlValue": 1000,
  "lpValue": 800,
  "lossVsHodl": 200,
  "interpretation": "severe"
}

Input schema

{
  "type": "object",
  "required": [],
  "properties": {
    "priceRatio": {
      "type": "number",
      "description": "priceEnd/priceStart ratio k",
      "examples": [
        4
      ]
    },
    "priceStart": {
      "type": "number",
      "examples": [
        2000
      ]
    },
    "priceEnd": {
      "type": "number",
      "examples": [
        8000
      ]
    },
    "deposit": {
      "type": "number",
      "description": "initial deposit value in USD",
      "examples": [
        1000
      ]
    }
  }
}

Output schema

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