Understanding the Option Greeks: Delta, Gamma, Theta, Vega, and Rho

Option Greeks are often introduced as formulas before they are understood as concepts. The result is traders who can recite that delta measures price sensitivity but cannot predict how their position's delta will change as expiration approaches, or who know that theta represents time decay but are surprised by how rapidly it accelerates in the final weeks before expiration. This course builds the conceptual understanding that makes Greek behaviour predictable rather than surprising. By the end of this course you will be able to explain what each of the five Greeks measures in plain language, describe how each Greek changes as the underlying price, time to expiration, and implied volatility change, understand how Greek values differ between in-the-money, at-the-money, and out-of-the-money options, and use Greek values to estimate how an option position's value will change given a specified change in price or time. What you will learn: - Delta: price sensitivity of an option, its range, and how it changes as the option moves in or out of the money - Delta as probability proxy: the intuition behind interpreting delta as an approximate probability of expiring in the money - Gamma: the rate of change of delta, why it is highest at-the-money near expiration, and what high gamma means for risk - Theta: time decay in dollar terms, its acceleration profile as expiration approaches, and why theta is not linear - Vega: sensitivity to implied volatility, why long options have positive vega and short options have negative vega - Rho: interest rate sensitivity and why it matters most for long-dated options - Greek interactions: how delta, gamma, theta, and vega interact and the trade-offs between being long gamma and long theta - Aggregate Greek reading: interpreting the combined Greeks of a multi-leg position The course is structured as conceptual readings with visual descriptions of how each Greek changes across price and time scenarios. Worked numerical examples illustrate Greek values at specific points and how they change with movement. Self-assessment exercises close each module. This course is designed for options traders who know basic options mechanics and want to understand the Greeks rigorously rather than superficially. No prior knowledge of the Greeks is required. This course is informational and educational and does not constitute financial or investment advice.