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x402-black-scholes-put

Black Scholes Put: Computes the Black-Scholes put price from spot or price, strike, time, rate, and volatility or sigma 🆓 5 free trial calls per signed wallet

Input Schema

NameRequiredDescriptionDefault
rateNo
spotNo
timeNo
priceNo
sigmaNo
strikeNo
volatilityNo

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed7 schema fields changed
    • removedInput schema / properties / price / description
      Removed value: -"Price to process"
    • removedInput schema / properties / rate / description
      Removed value: -"Rate to process"
    • removedInput schema / properties / sigma / description
      Removed value: -"Sigma to process"
    • removedInput schema / properties / spot / description
      Removed value: -"Spot to process"
    • removedInput schema / properties / strike / description
      Removed value: -"Strike to process"
    • removedInput schema / properties / time / description
      Removed value: -"Time to process"
    • removedInput schema / properties / volatility / description
      Removed value: -"Volatility to process"
  2. Changed7 schema fields changed
    • addedInput schema / properties / price
      Added value: +{
      +  "description": "Price to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / rate
      Added value: +{
      +  "description": "Rate to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / sigma
      Added value: +{
      +  "description": "Sigma to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / spot
      Added value: +{
      +  "description": "Spot to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / strike
      Added value: +{
      +  "description": "Strike to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / time
      Added value: +{
      +  "description": "Time to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / volatility
      Added value: +{
      +  "description": "Volatility to process",
      +  "type": "string"
      +}
  3. First observed

TDQS

C2.9/5.0
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full disclosure burden. It only adds the pricing note ('5 free trial calls per signed wallet'), which is useful but says nothing about return format, error behavior, or whether values are validated. For a computation tool with zero structured coverage this is thin.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

One front-loaded sentence states the operation and inputs immediately, with the trial offer trailing. Efficient overall, though the emoji promo line is marginal content for a tool-selection decision.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With 7 parameters, 0% schema descriptions, no annotations, and no output schema, the description leaves critical gaps: units, required inputs, and what the response contains. An agent could call it but has no basis for constructing correct values.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 0%, so the description must compensate. It adds real value by revealing the aliasing pairs (spot or price, volatility or sigma) that the schema presents as seven undifferentiated optional strings. However, it supplies no units, numeric format, time convention (years vs days), or required-parameter information for any of the seven.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb (Computes) and resource (Black-Scholes put price) plus the input quantity set, so an agent knows exactly what it gets back. It does not explicitly name x402-black-scholes-call as the sibling it is not, but the 'put' vs 'call' distinction is carried by the name.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No when-to-use guidance, no prerequisites, and no mention of the closely related x402-black-scholes-call or x402-option-intrinsic alternatives. Usage must be inferred entirely from the name.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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