Expected Move
by Investing Math in Other
The price range implied by volatility over a number of days: one and two standard deviations, from implied or historical vol.
https://invest-math.x402tookit.com/expected-move- Price
- $0.02
- per call in USDC
- Uptime
- 56.3%
- last 30 days
- Response time
- 521 ms
- 571 ms slowest 5%
- Last check
- Passed
- 5 h ago, next in 57 min
Reliability
Status and outage history · Atom feed · Watch with other listings
How to call it
GET https://invest-math.x402tookit.com/expected-move
Each call costs $0.02 in USDC on Polygon, paid with the request over x402.
Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.
Example request
From the listing.
GET https://invest-math.x402tookit.com/expected-move?days=30&price=100&volPct=30Parameters
| Parameter | Type | Required | Description |
|---|---|---|---|
days | number | Yes | Calendar days ahead, 0.1 to 3650 |
price | number | Yes | Current price |
volPct | number | Yes | Annualised volatility in percent, e.g. implied volatility |
Example response
The provider's example. We can't check it without paying.
{
"asOf": "2026-10-11T20:30:28.673Z",
"dailyMovePct": 1.5703,
"degraded": false,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"horizonDays": 30,
"notChecked": [
"the real distribution: returns have fat tails, so moves beyond two standard deviations happen more often than a normal curve says",
"direction: the range is symmetric and says nothing about up or down",
"…1 more"
],
"oneSigmaHigh": 108.98143,
"oneSigmaLow": 91.758751,
"oneSigmaMove": 8.6007327,
"oneSigmaPct": 8.60073,
"reasons": [
"One-sigma move = price x volatility x sqrt(days / 365); lognormal bounds use exp(+/- sigma).",
"Assumes a normal distribution of returns, which understates tail risk."
],
"source": "computed locally",
"summary": "Over 30 days at 30% volatility, a one standard deviation move is about +/-8.6 (8.6%): roughly 68% of outcomes between 91.76 and 108.98, 95% between 84.2 and 118.77.",
"twoSigmaHigh": 118.76952,
"twoSigmaLow": 84.196684,
"verdict": "COMPUTED"
}Call it from code
The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.
curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://invest-math.x402tookit.com/expected-move?days=30&price=100&volPct=30'
# 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://invest-math.x402tookit.com/expected-move?days=30&price=100&volPct=30' \
| grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decodeJavaScript: pay and call
// 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 $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
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 $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Finvest-math.x402tookit.com%2Fexpected-move
const res = await pay("https://invest-math.x402tookit.com/expected-move?days=30&price=100&volPct=30");
console.log(res.status, await res.text());Python: pay and call
# 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 $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))
with x402_requests(client) as session:
res = session.get("https://invest-math.x402tookit.com/expected-move?days=30&price=100&volPct=30")
print(res.status_code, res.text)Security scan
No findings
We scan names, descriptions and tool definitions for hidden instructions and other prompt-injection patterns.
Recent checks
| When | Result | HTTP | Time | Price |
|---|---|---|---|---|
| 5 h ago | Passed | 402 | 571 ms | $0.02 |
| 18 h ago | Passed | 402 | 521 ms | $0.02 |
| 2 days ago | Expected HTTP 402, got 530 | 530 | 105 ms | - |
| 3 days ago | Expected HTTP 402, got 530 | 530 | 93 ms | - |
| 4 days ago | Expected HTTP 402, got 530 | 530 | 85 ms | - |
Show 10 older checks
| 5 days ago | Expected HTTP 402, got 530 | 530 | 125 ms | - |
| 5 days ago | Expected HTTP 402, got 530 | 530 | 136 ms | - |
| 5 days ago | Expected HTTP 402, got 530 | 530 | 196 ms | - |
| 5 days ago | Expected HTTP 402, got 530 | 530 | 140 ms | - |
| 5 days ago | Passed | 402 | 526 ms | $0.02 |
| 6 days ago | Passed | 402 | 517 ms | $0.02 |
| 6 days ago | Passed | 402 | 516 ms | $0.02 |
| 6 days ago | Passed | 402 | 525 ms | $0.02 |
| 6 days ago | Passed | 402 | 541 ms | $0.02 |
| 6 days ago | Passed | 402 | 513 ms | $0.02 |