# 📐  L2 Spec — Monte Carlo Option Pricing — Nominal + Mismatch Specs

**ID:** `L2-441-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-441`](/artifact/l1/L1-441)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.22 · **Delta tier:** 5
> **⛓ On-chain block:** 41555262

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N paths | — | 1000 – 10000000.0 |
| Sigma vol | — | 0.05 – 0.8 |
| N timesteps | — | 10 – 1000 |
| T maturity yr | — | 0.1 – 10.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.2 + 0.3 * sqrt(10000 / N_paths)
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.22 |
| Delta tier | 5 |

## 4. Fingerprint

`47cd77ff87934d7c766471429df96a44a91bce33e1499325d1643f062c87e7b4`

## 5. On-chain Registration

- **Chain hash:** `0x8ba1d69880363b04235f593881201cd71dbc913c3f0843755528293a9dbec86d`
- **Chain tx hash:** `0x946d21a93f96e292122d688be5a9ffdd9e054366a8ba67fab34d45450d993ce9`
- **Chain block:** `41555262`

---

## File Mapping

This bundle consists of: `L2-441-001.md`, `L2-441-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-441-001.md` | Source of truth — edit this | Human or LLM |
| `L2-441-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-441-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._