# Numora Financial Options Pricing API

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

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

## Facts

- Endpoint: POST https://numomo.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-7f0049f0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_bNlZYkfp2wUZM_QpkFm_Z

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-7f0049f0 -d '<json body>'
```

Example prompt: Can you calculate the Black-Scholes price and Greeks for a call option where the spot price is $150, strike is $155, time to expiry is 0.25 years, risk-free rate is 5%, and implied volatility is 20%?

## When to prefer this

Use this endpoint when you need fast, self-contained Black-Scholes options pricing and Greeks computation without relying on external market data feeds or financial data providers. Ideal for AI agents building financial calculators, strategy simulators, or hedging tools that supply their own market parameters. Prefer over general-purpose math libraries when you need a clean JSON API response with no setup.

## Known failure modes

- Missing required fields (K, S, T, r, type, sigma) return validation errors
- Invalid option type string (not 'call' or 'put') causes computation failure
- Negative or zero values for S, K, T, or sigma may produce undefined mathematical results
- Very large or very small sigma values may cause numerical instability
- Network or server errors return non-200 HTTP status

## 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 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": {
   "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-7f0049f0/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)