Crypto Impermanent Loss

{
  "result": {
    "answer": "+100% move → IL -5.7191% of holdings",
    "answerLabel": "Impermanent loss",
    "details": [
      {
        "label": "Price ratio r",
        "value": "2.0000"
      },
      {
        "label": "Pool value vs HODL",
        "value": "94.2809%"
      },
      {
        "label": "Break-even requirement",
        "value": "Fees/rewards must exceed -5.7191% over the period"
      }
    ],
    "steps": [
      "IL = 2√r / (1 + r) − 1 with r = 2.0000",
      "= 0.942809 of the HODL value → -5.7191% loss"
    ],
    "table": {
      "columns": [
        "A vs B move",
        "IL"
      ],
      "rows": [
        [
          "+25%",
          "-0.619%"
        ],
        [
          "+50%",
          "-2.020%"
        ],
        [
          "+100%",
          "-5.719%"
        ],
        [
          "+200%",
          "-13.397%"
        ],
        [
          "+300%",
          "-20.000%"
        ],
        [
          "+500%",
          "-30.015%"
        ]
      ]
    },
    "value": -5.7191
  },
  "tool": "impermanent-loss"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://agentstoolshub.com/api/v1/crypto/impermanent-loss?priceChangePct=100'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://agentstoolshub.com/api/v1/crypto/impermanent-loss?priceChangePct=100' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.002 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.002" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.002 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fagentstoolshub.com%2Fapi%2Fv1%2Fcrypto%2Fimpermanent-loss
const res = await pay("https://agentstoolshub.com/api/v1/crypto/impermanent-loss?priceChangePct=100");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.002 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.002"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://agentstoolshub.com/api/v1/crypto/impermanent-loss?priceChangePct=100")
    print(res.status_code, res.text)