Api Endpoint

Black-Scholes option price

Price a European option (call or put) with the Black-Scholes-Merton model, plus the greeks (delta, gamma, vega, theta, rho). Continuous dividend yield supported. Greeks are per unit: theta is per year, vega per 1.00 change in volatility, rho per 1.00 change in rate. Deterministic - matches standard references to the cent.

Open interactive test console

Offering

Provider: agent402.tools
Method: POST
Offering type: Api Endpoint
Transport type: http
Category: Financial Analysis
Delivery: Not provided
Pricing model: Not provided
x402 version: 2

Endpoint context

URL: https://agent402.tools/api/black-scholes
MIME type: application/json
First seen: 2026-10-16T01:50:53.972Z
Last seen: 2026-11-02T15:03:58.676Z
Tags: Data, Finance, options, black-scholes, Derivatives

Website

Payment pricing

x402 payment terms are the authoritative price for calling this endpoint.

Payment option 1: 0.002 USDC
Atomic price: 2000 · Network: eip155:8453 · Asset: USDC · Scheme: exact
Payment option 2: 0.002 USDC
Atomic price: 2000 · Network: eip155:137 · Asset: USDC · Scheme: exact
Payment option 3: 0.002 USDC
Atomic price: 2000 · Network: eip155:42161 · Asset: USDC · Scheme: exact
Payment option 4: 0.002 USDC
Atomic price: 2000 · Network: eip155:143 · Asset: USDC · Scheme: exact
Payment option 5: 0.002 USDC
Atomic price: 2000 · Network: eip155:43114 · Asset: USDC · Scheme: exact
Payment option 6: 2000 atomic units
Atomic price: 2000 · Network: eip155:1329 · Asset: 0xe15fC38F6D8c56aF07bbCBe3BAf5708A2Bf42392 · Scheme: exact
Payment option 7: 0.003 USDC
Atomic price: 3000 · Network: eip155:10 · Asset: USDC · Scheme: exact
Payment option 8: 0.005 USDC
Atomic price: 5000 · Network: eip155:4663 · Asset: USDC · Scheme: exact
Payment option 9: 2000 atomic units
Atomic price: 2000 · Network: eip155:42220 · Asset: 0xcebA9300f2b948710d2653dD7B07f33A8B32118C · Scheme: exact
Payment option 10: 2000 atomic units
Atomic price: 2000 · Network: eip155:5042 · Asset: 0x3600000000000000000000000000000000000000 · Scheme: exact
Payment option 11: 0.002 USDC
Atomic price: 2000 · Network: eip155:8453 · Asset: USDC · Scheme: upto
Payment option 12: 0.002 USDC
Atomic price: 2000 · Network: solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp · Asset: USDC · Scheme: exact
Payment option 13: 20000 atomic units
Atomic price: 20000 · Network: stellar:pubnet · Asset: CCW67TSZV3SSS2HXMBQ5JFGCKJNXKZM7UQUWUZPUTHXSTZLEO7SJMI75 · Scheme: exact
Payment option 14: 2000 atomic units
Atomic price: 2000 · Network: algorand:wGHE2Pwdvd7S12BL5FaOP20EGYesN73k · Asset: 31566704 · Scheme: exact
Payment option 15: 0.002 USDC
Atomic price: 2000 · Network: eip155:8453 · Asset: USDC · Scheme: exact
Payment option 16: 2000 atomic units
Atomic price: 2000 · Network: eip155:5042 · Asset: 0x3600000000000000000000000000000000000000 · Scheme: exact

Raw x402 terms

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    "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:137",
    "asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:42161",
    "asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:143",
    "asset": "0x754704Bc059F8C67012fEd69BC8A327a5aafb603",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:43114",
    "asset": "0xB97EF9Ef8734C71904D8002F8b6Bc66Dd9c48a6E",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:1329",
    "asset": "0xe15fC38F6D8c56aF07bbCBe3BAf5708A2Bf42392",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:10",
    "asset": "0x0b2C639c533813f4Aa9D7837CAf62653d097Ff85",
    "amount": "3000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "eip155:4663",
    "asset": "0x5fc5360D0400a0Fd4f2af552ADD042D716F1d168",
    "amount": "5000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
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  {
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    "network": "eip155:42220",
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    "amount": "2000",
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  {
    "scheme": "exact",
    "network": "eip155:5042",
    "asset": "0x3600000000000000000000000000000000000000",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
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  {
    "scheme": "upto",
    "network": "eip155:8453",
    "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
    "amount": "2000",
    "payTo": "0xaBF4FAbd7c416fB67202E5f9002389Fc75e2a9D0"
  },
  {
    "scheme": "exact",
    "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
    "asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
    "amount": "2000",
    "payTo": "J7aN3PLJnTCF5qpEnvJHJsnCjcGuqC2rYtEM8Gv3xwg"
  },
  {
    "scheme": "exact",
    "network": "stellar:pubnet",
    "asset": "CCW67TSZV3SSS2HXMBQ5JFGCKJNXKZM7UQUWUZPUTHXSTZLEO7SJMI75",
    "amount": "20000",
    "payTo": "GDNJXCKW7ZM7GEEVP674TWPU26YJNBQ2FI4ZIPRKTPTNUEJMDHFJWWRL"
  },
  {
    "scheme": "exact",
    "network": "algorand:wGHE2Pwdvd7S12BL5FaOP20EGYesN73k",
    "asset": "31566704",
    "amount": "2000",
    "payTo": "C7IIHG7SPLPZ5H7ZT6HW3UV2OQMQQE6Y2HBNGZXSLRJULE42BEE2OY2XIE"
  },
  {
    "scheme": "exact",
    "network": "eip155:8453",
    "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
    "amount": "2000",
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  {
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    "asset": "0x3600000000000000000000000000000000000000",
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]

Observed health

Status: Healthy
Latest latency: 142 ms
Average latency: 546 ms
HTTP status: 204
Last checked: 2026-11-04T21:18:38.726Z
Reachability: 100% over 10 checks

Latency is measured to the first response headers. A reachable result does not verify response accuracy or merchant identity.

Input schema

{
  "additionalProperties": false,
  "properties": {
    "body": {
      "properties": {
        "dividendYield": {
          "description": "Continuous dividend yield as decimal (q). Default 0.",
          "type": "number"
        },
        "riskFreeRate": {
          "description": "Annual risk-free rate as decimal (r)",
          "type": "number"
        },
        "spot": {
          "description": "Current underlying price (S)",
          "type": "number"
        },
        "strike": {
          "description": "Strike price (K)",
          "type": "number"
        },
        "timeToExpiryYears": {
          "description": "Time to expiry in years (T)",
          "type": "number"
        },
        "type": {
          "description": "\"call\" or \"put\"",
          "type": "string"
        },
        "volatility": {
          "description": "Annual volatility as decimal (sigma)",
          "type": "number"
        }
      },
      "required": [
        "type",
        "spot",
        "strike",
        "timeToExpiryYears",
        "riskFreeRate",
        "volatility"
      ]
    },
    "bodyType": {
      "enum": [
        "json",
        "form-data",
        "text"
      ],
      "type": "string"
    },
    "method": {
      "enum": [
        "POST"
      ],
      "type": "string"
    },
    "type": {
      "const": "http",
      "type": "string"
    }
  },
  "required": [
    "type",
    "method",
    "bodyType",
    "body"
  ],
  "type": "object"
}

Output schema

{
  "type": "object",
  "properties": {
    "type": {
      "type": "string"
    },
    "example": {
      "type": "object",
      "properties": {
        "type": {
          "type": "string"
        },
        "price": {
          "type": "number"
        },
        "delta": {
          "type": "number"
        },
        "gamma": {
          "type": "number"
        },
        "vega": {
          "type": "number"
        },
        "theta": {
          "type": "number"
        },
        "rho": {
          "type": "number"
        },
        "d1": {
          "type": "number"
        },
        "d2": {
          "type": "number"
        }
      },
      "required": [
        "type",
        "price",
        "delta",
        "gamma",
        "vega",
        "theta",
        "rho",
        "d1",
        "d2"
      ]
    }
  },
  "required": [
    "type"
  ]
}