Options Theory (Black-Scholes & Greeks)

What problem does it solve?

This Skill demystifies options pricing and risk management by providing clear explanations and calculations for the Black-Scholes model and its associated "Greeks." It helps users understand the sensitivity of option prices to various market factors.

Core Features & Use Cases

• Black-Scholes Model Calculation: Computes European option prices based on key inputs like asset price, strike price, time to expiry, risk-free rate, and implied volatility.
• Greeks Calculation: Derives and explains Delta, Gamma, Vega, Theta, and Rho, quantifying an option's sensitivity to underlying price, volatility, time, and interest rates.
• Use Case: A trader can use this Skill to quickly calculate the Delta and Vega of a call option to understand its exposure to a stock price movement and changes in market volatility, aiding in hedging strategies.

Quick Start

Calculate the Black-Scholes price and Greeks for a call option with a current asset price of $100, strike price of $105, time to expiry of 0.5 years, risk-free rate of 5%, and implied volatility of 20%.