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Token Historical Volatility Calculator
x402
Token Historical Volatility Calculator is a paid API for AI agents from x402.agentutility.ai, paid per call via x402, $0.005/call, status unknown (last checked 2026-09-14).
Computes annualized and daily historical volatility (log-return standard deviation) for any CoinGecko-listed cryptocurrency token over a configurable lookback window
Price / call$0.005
Success—
StatusUnknown
How this service works
Computes historical volatility for any CoinGecko-listed token: log-return standard deviation over the last N days (default 30), annualized by sqrt(365). Returns daily and annualized volatility as percent, count of return observations, and first and last close prices. Backed by CoinGecko's free public market_chart endpoint. Use it as an annualized vol calculator, standard-deviation-of-returns tool, or crypto vol calculator.
Output
Returns a JSON object containing: daily volatility as a percentage, annualized volatility as a percentage (daily vol × sqrt(365)), the number of log-return observations used in the calculation, and the first and last closing prices from the selected period.
Example use cases
Portfolio risk assessment for DeFi tokens
“I'm considering adding Chainlink to my portfolio — can you calculate its annualized volatility over the last 90 days using its CoinGecko ID 'chainlink'? I want to see the daily vol as well.”
Options pricing volatility input
“I need the 30-day historical volatility for Ethereum (CoinGecko ID: ethereum) to plug into my options pricing model — give me both daily and annualized figures.”
Comparing volatility across crypto assets
“Can you get me the 14-day annualized volatility for Bitcoin (CoinGecko ID: bitcoin) so I can compare it against other assets in my risk dashboard?”
Technical details
Endpoint
POSThttps://x402.agentutility.ai/token-volatilityWhen to prefer
Choose this endpoint when you need a fast, single-call annualized volatility figure for any CoinGecko-listed token without building your own price-history pipeline. It is ideal for risk scoring, options input, portfolio analytics, or any agent workflow that needs a reliable crypto vol number backed by CoinGecko data. Prefer it over rolling your own when you want log-return methodology and annualization already handled, and when USDC micropayment via x402 is acceptable.
Side effects
- Invalid or unrecognized CoinGecko token ID returns an error — token must be a valid CoinGecko slug (e.g. 'bitcoin', not 'BTC')
- Requesting too few days (e.g. N=1) may yield insufficient data points for a meaningful standard deviation
- CoinGecko rate limits or downtime may cause upstream failures
- N values beyond CoinGecko's free-tier history window may return incomplete data
- Payment failure via x402 will block the request before computation
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Output
Schema · Response
{
"type": "json",
"example": {
"days": 30,
"source": "coingecko",
"coingecko_id": "ethereum",
"returns_count": 30,
"last_price_usd": 3284.13,
"first_price_usd": 3142.55,
"daily_volatility_pct": 3.421,
"annualized_volatility_pct": 65.3742
}
}Tags
x402
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