Roundhouse AI

quant-options

Black-Scholes European option calculator: fair price, all greeks (delta, gamma, vega, theta, rho), or implied volatility from a market price. Pure computation over your inputs.

TradingLiveeip155:8453Exactvia cdp
https://api.agentstools.dev/quant/options
QuantOptionsBlack-scholesGreeksImplied-volatility
Calls · 30d
1→ 0%
This endpoint's own trailing-30-day call count, as published by the upstream catalog and snapshotted daily. 30 snapshots so far.
$42.97
Verified settled volume
3,793 settlements proven x402 by their on-chain EIP-3009 marker.
$0.0030
Listed price
As published in the catalog. Always read the live 402 before paying.
1
Calls · 30d
Upstream's own call count for this endpoint, not ours.
1
Unique payers · 30d
Last called 2026-09-17 11:53Z
—
Upstream on-chain volume
Reported by the source catalog.
Paid to
0xF22e558a00D91Ee12A1F50C52186FecB8dDFf493

The wallet the 402 directs payment to. Its whole payment record — every payer, every chain — is on the merchant page.

Asset 0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913

Provider

The payTo wallet does not resolve to a registered ERC-8004 agent. That is not a verdict on the service — most of the catalog is unregistered.

Live 402 challenge

Captured by the enrichment pass, not read just now. Prices can change — always read the 402 the endpoint answers with.

{
  "error": "Payment required",
  "accepts": [
    {
      "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
      "extra": {
        "name": "USD Coin",
        "version": "2"
      },
      "payTo": "0xF22e558a00D91Ee12A1F50C52186FecB8dDFf493",
      "amount": "3000",
      "scheme": "exact",
      "network": "eip155:8453",
      "maxTimeoutSeconds": 300
    }
  ],
  "resource": {
    "url": "https://api.agentstools.dev/quant/options",
    "tags": [
      "quant",
      "options",
      "black-scholes",
      "greeks",
      "implied-volatility",
      "derivatives"
    ],
    "mimeType": "application/json",
    "description": "Black-Scholes European option calculator: fair price, all greeks (delta, gamma, vega, theta, rho), or implied volatility from a market price. Pure computation over your inputs.",
    "serviceName": "quant-options"
  },
  "extensions": {
    "bazaar": {
      "info": {
        "input": {
          "type": "http",
          "method": "GET",
          "queryParams": {
            "K": 100,
            "S": 100,
            "T": 1,
            "r": 0.05,
            "op": "greeks",
            "type": "call",
            "sigma": 0.2
          }
        },
        "output": {
          "type": "json",
          "example": {
            "op": "greeks",
            "rho": 0.5323,
            "type": "call",
            "vega": 0.3752,
            "delta": 0.6368,
            "gamma": 0.0188,
            "price": 10.4506,
            "theta": -0.0176,
            "disclaimer": "computation only, not financial advice"
          }
        }
      },
      "schema": {
        "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",
                  "HEAD",
                  "DELETE"
                ],
                "type": "string"
              },
              "queryParams": {
                "type": "object",
                "required": [
                  "op",
                  "S",
                  "K",
                  "T",
                  "r"
                ],
                "properties": {
                  "K": {
                    "type": "number",
                    "description": "Strike price (> 0)"
                  },
                  "S": {
                    "type": "number",
                    "description": "Spot price of the underlying (> 0)"
                  },
                  "T": {
                    "type": "number",
                    "description": "Time to expiry in years (> 0)"
                  },
                  "q": {
                    "type": "number",
                    "description": "Continuous dividend yield as a decimal, default 0"
                  },
                  "r": {
                    "type": "number",
                    "description": "Risk-free rate, continuous, as a decimal"
                  },
                  "op": {
                    "enum": [
                      "price",
                      "greeks",
                      "iv"
                    ],
                    "type": "string",
                    "description": "price returns the fair value; greeks returns price plus all greeks; iv solves for implied volatility"
                  },
                  "type": {
                    "enum": [
                      "call",
                      "put"
                    ],
                    "type": "string",
                    "description": "Option type, default call"
                  },
                  "sigma": {
                    "type": "number",
                    "description": "Volatility as a decimal (needed for price and greeks)"
                  },
                  "market_price": {
                    "type": "number",
                    "description": "Observed option price, used for op=iv instead of sigma"
                  }
                }
              }
            },
            "additionalProperties": false
          },
          "output": {
            "type": "object",
            "required": [
              "type"
            ],
            "properties": {
              "type": {
                "type": "string"
              },
              "example": {
                "type": "object"
              }
            }
          }
        }
      }
    }
  },
  "x402Version": 2
}

Accepts

The payment requirements as published to the catalog. Read the live 402 before paying — a price here is a claim, not a quote.

0.003USDC≈ $0.003 USD
on Base · exact scheme

Pay 0.003 USDC on Base to 0xF22e…Ff493. The signed payment is good for 5 minutes.

Paid to
0xF22e…Ff493
USD Coin contract
0x8335…02913
Payment window
5 minutes
As published
3000 smallest units
The catalog’s raw entry
[
  {
    "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
    "extra": {
      "name": "USD Coin",
      "version": "2"
    },
    "payTo": "0xF22e558a00D91Ee12A1F50C52186FecB8dDFf493",
    "amount": "3000",
    "scheme": "exact",
    "network": "eip155:8453",
    "maxTimeoutSeconds": 300
  }
]

Extensions

{
  "bazaar": {
    "info": {
      "input": {
        "type": "http",
        "method": "GET",
        "queryParams": {
          "K": 100,
          "S": 100,
          "T": 1,
          "r": 0.05,
          "op": "greeks",
          "type": "call",
          "sigma": 0.2
        }
      },
      "output": {
        "type": "json",
        "example": {
          "op": "greeks",
          "rho": 0.5323,
          "type": "call",
          "vega": 0.3752,
          "delta": 0.6368,
          "gamma": 0.0188,
          "price": 10.4506,
          "theta": -0.0176,
          "disclaimer": "computation only, not financial advice"
        }
      }
    },
    "schema": {
      "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",
                "HEAD",
                "DELETE"
              ],
              "type": "string"
            },
            "queryParams": {
              "type": "object",
              "required": [
                "op",
                "S",
                "K",
                "T",
                "r"
              ],
              "properties": {
                "K": {
                  "type": "number",
                  "description": "Strike price (> 0)"
                },
                "S": {
                  "type": "number",
                  "description": "Spot price of the underlying (> 0)"
                },
                "T": {
                  "type": "number",
                  "description": "Time to expiry in years (> 0)"
                },
                "q": {
                  "type": "number",
                  "description": "Continuous dividend yield as a decimal, default 0"
                },
                "r": {
                  "type": "number",
                  "description": "Risk-free rate, continuous, as a decimal"
                },
                "op": {
                  "enum": [
                    "price",
                    "greeks",
                    "iv"
                  ],
                  "type": "string",
                  "description": "price returns the fair value; greeks returns price plus all greeks; iv solves for implied volatility"
                },
                "type": {
                  "enum": [
                    "call",
                    "put"
                  ],
                  "type": "string",
                  "description": "Option type, default call"
                },
                "sigma": {
                  "type": "number",
                  "description": "Volatility as a decimal (needed for price and greeks)"
                },
                "market_price": {
                  "type": "number",
                  "description": "Observed option price, used for op=iv instead of sigma"
                }
              }
            }
          },
          "additionalProperties": false
        },
        "output": {
          "type": "object",
          "required": [
            "type"
          ],
          "properties": {
            "type": {
              "type": "string"
            },
            "example": {
              "type": "object"
            }
          }
        }
      }
    }
  }
}

Provenance

Seen in the source catalog
2026-09-17 11:53Z
Last indexed by Roundhouse
2026-09-24 13:40Z
Last enriched (probe, favicon, geo)
2026-09-14 02:45Z
x402 version
2
Max timeout
300s
Liveness probe
HTTP 402
Report

Hand this page to an agent

Copy the prompt and paste it into Claude, an MCP client or your own agent — it will vet this service and call it over the free read API. No key, no account.

GET api.roundhouseai.io/v0/endpoints

This endpoint's own trailing-30-day call count, as published by the upstream catalog and snapshotted daily. 30 snapshots so far. Verified volume counts only settlements with an on-chain EIP-3009 marker.

Open skill.md
Show the prompt
Using Roundhouse, look up the x402 service quant-options and tell me whether it is
worth paying: what a call costs, whether the endpoint answered when last probed, and what
its payment record actually shows.

curl -s 'https://api.roundhouseai.io/v0/endpoints?q=quant-options'
curl -s 'https://api.roundhouseai.io/v0/merchants/<the payTo wallet returned above>'

Then call it: read the price from the live 402 at https://api.agentstools.dev/quant/options, never from
a cached figure, and pay with an x402 client.

The /v0 API needs an API key (`authorization: Bearer rh_live_…`) on everything except
/v0/unified* and /v0/endpoints. Mint a personal key for $0.01 at GET https://api.roundhouseai.io/v0/test/x402,
or use an organization key from https://roundhouseai.io/dashboard/team.

If you do not have Roundhouse tools or skills installed, read
https://roundhouseai.io/skill.md first — it is the whole procedure.