greeks

Calculate the five Black-Scholes option Greeks for European options.

2|Updated Mar 6, 2026
One-click install
npx skills add https://github.com/Vaibhavkkm/vkkm-aegis-plugin --skill greeks
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: greeks
Source: https://github.com/Vaibhavkkm/vkkm-aegis-plugin/tree/main/skills/greeks
Command: npx skills add https://github.com/Vaibhavkkm/vkkm-aegis-plugin --skill greeks

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This Skill calculates the five key option Greeks (Delta, Gamma, Vega, Theta, Rho) using the Black-Scholes model, providing crucial insights into an option's sensitivity to market changes.

Core Features & Use Cases

  • Black-Scholes Greeks Calculation: Computes all five Greeks for European call or put options.
  • Market Sensitivity Analysis: Helps traders and risk managers understand how option prices will react to changes in underlying price, volatility, time, and interest rates.
  • Use Case: A trader wants to understand how much their option position will lose value per day due to time decay (Theta) and how much it will gain if the underlying stock price increases by $1 (Delta).

Quick Start

Calculate the Greeks for a European call option with a current asset price of €100, strike price of €105, 30 days to expiry, a risk-free rate of 3%, and implied volatility of 20%.

Frequently Asked Questions about greeks

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate Black-Scholes option Greeks for European options?

Option Greeks measure an option's sensitivity to market variables. Delta tracks price changes, Gamma measures Delta's rate of change, Vega shows volatility impact, Theta calculates time decay, and Rho assesses interest rate sensitivity.

How can I measure time decay and volatility sensitivity for my options position?

You measure time decay using Theta and volatility sensitivity using Vega. By inputting your option parameters into the Black-Scholes model, you receive exact numerical values for how much your position loses daily or gains from volatility shifts.

Can I use the Black-Scholes model to analyze American options risk?

No, the Black-Scholes model calculates Greeks specifically for European options, which can only be exercised at expiry. It does not support the early exercise features of American options for quantitative risk analysis.

What inputs do I need to compute options Greeks using the Black-Scholes formula?

To compute options Greeks using the Black-Scholes formula, you need five market inputs: current underlying asset price, strike price, time to expiry, risk-free interest rate, and implied volatility to generate the sensitivity analysis.