---
title: "3D probability surface (PDF over strike × expiry)"
method: GET
path: "/options/probability/surface"
tags: ["Options"]
---

# 3D probability surface (PDF over strike × expiry)

`GET /options/probability/surface`

## Request

- Base URL: `https://docs.backquant.com/v2`
- URL: `https://docs.backquant.com/v2/options/probability/surface`
- Auth: API key in header `X-API-Key`

Risk-neutral probability density across the full strike × expiry grid as a single matrix, suitable for 3D visualisations or surface-fit applications. Built from the same Breeden-Litzenberger extraction as /options/probability/density but pre-aligned onto a unified strike axis so cross-expiry comparisons are direct.

## Query parameters

- `symbol` 'BTCUSDT' | 'ETHUSDT' | 'SOLUSDT' | 'HYPEUSDT': Trading symbol: BTCUSDT, ETHUSDT, SOLUSDT, or HYPEUSDT.

## Headers

- `X-API-Key` string, nullable

## Response `200`

Successful Response

- unknown

## Other responses

- `401`: Invalid or missing API key
- `404`: No data available for the requested resource
- `422`: Validation error on query parameters
- `429`: Rate limit exceeded

---

[API](https://skmtc.dev/backquant/apis/backquant-api-v2.md) · [All operations](https://skmtc.dev/backquant/apis/backquant-api-v2/llms.txt) · [OpenAPI document](https://skmtc.dev/backquant/apis/backquant-api-v2/revisions/3c1c96b3cc24?raw)