# Numora Financial Options Pricing API

> Numora Financial Options Pricing API is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Computes option pricing (call/put) using Black-Scholes or similar models given spot price, strike, time to expiry, volatility, and risk-free rate

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/financial/options
- 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/numora-financial-options-pricing-api-1506aa85
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_xXWOsi6G4xqh-R5poehPJ

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-1506aa85 -d '<json body>'
```

Example prompt: What's the Black-Scholes price of a call option with a spot price of $150, strike of $155, 3 months to expiry (T=0.25), risk-free rate of 5%, and implied volatility of 20%?

## When to prefer this

Use this endpoint when you need serverless, dependency-free option pricing computation via a simple REST call with micropayment billing — ideal for AI agents that need on-demand Black-Scholes pricing without integrating a full financial library or maintaining a pricing server.

## Known failure modes

- Missing required fields (K, S, T, r, sigma, or type) returns validation error
- Invalid option type string (not 'call' or 'put') may cause error
- T <= 0 (expired option) may return edge-case or error
- sigma <= 0 or negative risk-free rate may produce undefined behavior
- Payment failure via x402 micropayment returns 402 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 success flag, a result object containing the computed option price (and potentially Greeks), 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-1506aa85/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)