{
      "tool_id": "qfa-01-options-greeks",
      "tool_version": "1.0.0",
      "display_name": "Options Greeks Calculator",
      "mcp_name": "compute_options_greeks",
      "mandate_type": "risk_parameter",
      "wave": 3,
      "gpu": false,
      "url": "https://ainumbers.co/chaingraph/qfa-01-options-greeks.html",
      "description": "Black-Scholes options pricer with full Greeks (delta, gamma, theta, vega, rho). Equity, FX and rate presets; payoff profile and sensitivity charts. Zero-egress, deterministic.",
      "input_schema_ref": "chaingraph/qfa-01-options-greeks.html#manifest",
      "deadline": null,
      "deadline_note": "FRTB SA greeks — UK PRA PS1/26 Jan 2027; buy-side pre-validation ahead of FRTB-IMA UK Jan 2028",
      "consumes": [],
      "feeds": [
        "qfa-04-xva-cva-calculator",
        "ptg-01-ap2-prompt-template-generator"
      ],
      "feeds_stub": [],
      "status": "live",
      "conformance_fixtures": false,
      "compute_capability": "server",
      "compute_images": [{"system":"sha256-source","image_id":"sha256:4c530398ab42ff734dd6db698e15fbea8f6eaaede6646e324af8e79d514dfa44","valid_from":"2026-07-10"},{"system":"risc0","image_id":"sha256:a1a0bc89b5b1febaeda3519f6dbade0fa5ac16beeb143c4e1b01689573567bc6","valid_from":"2026-06-28"}],
      "compute_proof": {
        "type": "ZkVmReceipt",
        "system": "risc0",
        "receiptFormat": "groth16-bn254",
        "imageId": "sha256:a1a0bc89b5b1febaeda3519f6dbade0fa5ac16beeb143c4e1b01689573567bc6",
        "seal": "BDU2wAw5E9UPhCn/0DbN5GqtCaKZ2BtJ0Oo0Uir8HjwVmsAbSKoTYH+U90suHm7EBd+wbY2janUxOykApMQqUQBx9KAaHY9hYZ+FY5sIxwOoTCaRGOzhGLJINWMvo0dDB17XObE2ou7fowVfXfgLZkclQyX4tlIfKdqWLYk63TIvZGRi26WI9go2MHa6dZTiVIueJRHtjo+g0MySj8AqGRQrIEkqFtfeVYrPyY3J5kJsvZtIqZEM2bmtGX7JNB8JDuRtQTrD8t9P8lDHMDyMWnKf4bu5dBDO7Z+hzuYrPXEuZUFy6UMw33OJIrqWTLsCYZw4d7HadQ2D+a8XniIIpQ==",
        "journal": {
          "chaingraph_version": "0.4.0",
          "kernel_digest": "sha256:4c530398ab42ff734dd6db698e15fbea8f6eaaede6646e324af8e79d514dfa44",
          "output": {
            "d1": 0.173797,
            "d2": 0.074485,
            "delta": 0.568988,
            "delta_risk_band": "MODERATE",
            "gamma": 0.039568,
            "price": 4.579025,
            "rho_per_pct": 0.129008,
            "theta_per_day": -0.028848,
            "type": "call",
            "vega_per_pct": 0.195131
          }
        }
      },
      "export_capability": [
        "xlsx",
        "csv",
        "pdf",
        "xbrl:ocg-ext"
      ]
    }
