# Carbon & Cashmere GARCH Volatility Forecast API – BTC

> Carbon & Cashmere GARCH Volatility Forecast API – BTC is a paid API for AI agents from api.carbon-cashmere.de, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Returns GARCH(1,1) volatility forecast for Bitcoin including annualized conditional volatility, persistence parameters, and multi-horizon forecasts (1d/7d/30d).

## Facts

- Endpoint: GET https://api.carbon-cashmere.de/v1/garch/BTC
- Price: $0.05/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/carbon-cashmere-garch-volatility-forecast-api-btc-76fd215b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Qx4qGRIyY6puLKXCEstq8

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability carbon-cashmere-garch-volatility-forecast-api-btc-76fd215b
```

Example prompt: What's the current GARCH volatility forecast for Bitcoin — give me the annualized conditional vol, how persistent the volatility is, and the 1-day, 7-day, and 30-day forecasts.

## When to prefer this

Use this endpoint when you need a quantitative, model-driven volatility estimate for Bitcoin specifically — particularly for risk management, options pricing context, or regime detection where GARCH persistence and half-life matter. Prefer over simple realized-vol lookups when you need forward-looking multi-horizon forecasts and model parameters.

## Known failure modes

- Invalid symbol path returns 404 or error
- Stale underlying data may reduce forecast accuracy
- Service unavailable (5xx) during maintenance windows
- Payment not processed / x402 payment required (402)

## How this service works

Professional crypto market intelligence. Real-time prices, signals, and market scoring.

## Output

A JSON object containing: GARCH(1,1) model parameters (omega, alpha_1, beta_1), persistence (alpha+beta), annualized conditional volatility now (~42%), multi-horizon volatility forecasts for 1d/7d/30d, and the volatility half-life in days. Includes an informational disclaimer.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "properties": {
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "_meta": {
   "disclaimer": "Informational research data only — not investment advice."
  },
  "symbol": "BTC",
  "forecast": {
   "1d": 0.41,
   "7d": 0.43,
   "30d": 0.45
  },
  "parameters": {
   "omega": 0.001,
   "beta_1": 0.89,
   "alpha_1": 0.08,
   "persistence_alpha_plus_beta": 0.97
  },
  "half_life_days": 4.2,
  "conditional_vol_now_annualized": 0.42
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/carbon-cashmere-garch-volatility-forecast-api-btc-76fd215b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.carbon-cashmere.de](https://www.zero.xyz/host/api.carbon-cashmere.de/llms.txt)