# Numora Financial Options Pricing API

> Numora Financial Options Pricing API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes Black-Scholes option pricing (price, Greeks, and related metrics) for call or put options given spot price, strike, volatility, time to expiry, and risk-free rate

## Facts

- Endpoint: POST https://numormo.vercel.app/api/financial/options
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-financial-options-pricing-api-eea51037
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_-yt8hizBgR1Ksr5JIwP_L

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 numora-financial-options-pricing-api-eea51037 -d '<json body>'
```

Example prompt: Price a European call option where the spot price is $150, strike is $155, time to expiry is 0.5 years, risk-free rate is 5%, and implied volatility is 25%.

## When to prefer this

Choose this endpoint when you need fast, self-contained Black-Scholes option pricing with no external market data dependencies — ideal for scenarios where you already have the parameters (spot, strike, vol, rate, expiry) and need a pure mathematical computation. Prefer this over broker APIs or market-data-dependent pricers when you want deterministic, reproducible results for a single contract priced at $0.10 USDC per call.

## Known failure modes

- Missing required fields (K, S, T, r, type, sigma) returns a validation error
- Invalid option type (not 'call' or 'put') returns an enum validation error
- Negative time-to-expiry or volatility may cause mathematical domain errors
- Zero or negative spot/strike prices may produce undefined results
- Payment failure via x402 micropayment returns a 402 response before computation

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean success flag, a result object containing the computed option price and Greeks (delta, gamma, theta, vega, rho), and a human-readable computation description string explaining what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "K",
  "S",
  "T",
  "r",
  "type",
  "sigma"
 ],
 "properties": {
  "K": {
   "type": "number",
   "description": "Strike price"
  },
  "S": {
   "type": "number",
   "description": "Spot price"
  },
  "T": {
   "type": "number",
   "description": "Time to expiry (years)"
  },
  "r": {
   "type": "number",
   "description": "Risk-free rate"
  },
  "type": {
   "enum": [
    "call",
    "put"
   ],
   "type": "string"
  },
  "sigma": {
   "type": "number",
   "description": "Volatility"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-financial-options-pricing-api-eea51037/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)