# Business Frameworks: Risk — Why r Is a Price

> Business Frameworks: Risk — Why r Is a Price is a paid API for AI agents from business-frameworks.matryoshka-paradigms.workers.dev, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-11).

Returns a foundational explanation of why the discount rate (r) is a price and how it is set, serving as the conceptual prerequisite for risk-band and decision-rule endpoints in the business-frameworks hierarchy.

## Facts

- Endpoint: GET https://business-frameworks.matryoshka-paradigms.workers.dev/node/risk/why?utm_source=zero.xyz
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-11
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/business-frameworks-risk-why-r-is-a-price-f95a209d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_mh2ALT7AAkqFjdkG1LMeq

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 business-frameworks-risk-why-r-is-a-price-f95a209d
```

Example prompt: Explain to me why the discount rate r is treated as a price and how it gets set — I need to understand the foundational logic before I apply any risk bands or decision rules.

## When to prefer this

Choose this endpoint when an agent or user needs to understand the conceptual foundation of risk pricing before applying downstream risk-band or decision-rule endpoints in the same framework hierarchy. It is the root 'why' node for risk, not a calculator or classifier — use it for orientation, education, or validating a mental model, not for computing a specific risk value.

## Known failure modes

- Payment not processed — endpoint requires $0.02 USDC via x402 protocol; unpaid requests will be rejected
- Service unavailable — Cloudflare Worker may be temporarily down or rate-limited
- Malformed response — rare cases where synthesis content is truncated or child handles are missing

## How this service works

Business Frameworks · business-frameworks/risk/why@1.2 — why r, the cost of capital used as the discount rate, is a price and not a feeling about danger, and how it is set. Call before using the risk scale bands or the two risk decisions (hurdle, concentration); returns 494 tokens of original synthesis citing one published work, with child handles — free layer at /catalogue.

## Output

Approximately 500 tokens of original synthesis explaining why the discount rate (r) is treated as a price and how it is set, including public citations supporting the argument and handles to child nodes (risk scale bands, decision rules) for further traversal of the framework hierarchy.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "$schema": "https://json-schema.org/draft/2020-12/schema",
 "required": [
  "input"
 ],
 "properties": {
  "input": {
   "type": "object",
   "required": [
    "type",
    "method"
   ],
   "properties": {
    "type": {
     "type": "string",
     "const": "http"
    },
    "method": {
     "enum": [
      "GET"
     ],
     "type": "string"
    },
    "queryParams": {
     "type": "object",
     "properties": {}
    }
   },
   "additionalProperties": false
  },
  "output": {
   "type": "object",
   "required": [
    "type"
   ],
   "properties": {
    "type": {
     "type": "string"
    },
    "example": {
     "type": "object"
    }
   }
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/business-frameworks-risk-why-r-is-a-price-f95a209d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from business-frameworks.matryoshka-paradigms.workers.dev](https://www.zero.xyz/host/business-frameworks.matryoshka-paradigms.workers.dev/llms.txt)