Black-Scholes Calculator

Black-Scholes Calculator MCP Connector for Claude

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Deterministic engine for European option pricing and Greeks sensitivity analysis.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

This MCP server provides a deterministic mathematical engine for European-style option pricing. It allows AI agents to calculate the theoretical fair value of options and their sensitivities, known as Greeks, using the Black-Scholes model. Users can utilize calculate_option_price to find the exact price of a call or put, calculate_option_greeks to determine Delta, Gamma, Vega, Theta, and Rho, or validate_market_data to ensure input parameters are within realistic bounds.

optionsblack-scholesgreeksquantitative-financederivatives

3 tools expose this connector's capabilities to your AI agent.

calculate_option_greeks

Calculates the sensitivities (Greeks) of an option

calculate_option_price

Calculates the theoretical fair value of a European option

validate_market_data

Ensures that the provided market parameters are within realistic, non-negative bounds

See how to talk to your AI agent using Black-Scholes Calculator.

What is the price of a call option with an underlying price of 100, strike of 100, 1 year to expiry, 5% risk-free rate, and 20% volatility?

The theoretical price for this call option is 10.45.

Calculate the Greeks for a put option: underlying 100, strike 105, 0.5 years to expiry, 3% risk-free rate, and 25% volatility.

The Greeks for this put option are: Delta -0.42, Gamma 0.03, Vega 0.28, Theta -0.05, and Rho -0.12.

Is a volatility of -0.05 valid for pricing?

No, volatility must be a positive value.

The server uses the standard Black-Scholes model for European-style options.

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