Lesson 9 of 13 · 3:42
Delta and Gamma of Put Options - Stock Options Trading Course for Beginners
About this lesson
Original lesson notes from the instructor’s YouTube description.
Delta and Gamma for Put Options: Exploring Similarities and Differences
When analyzing put options, Delta and Gamma are essential metrics that provide insights into how the option price behaves as the underlying stock price changes. While they are interrelated, each serves a unique purpose.
Delta for Put Options
Delta measures how much the price of a put option changes with a $1 change in the underlying stock price. For puts, Delta is always negative, as the value of a put increases when the stock price decreases.
For example:
• A Delta of -0.40 means the option price decreases by $0.40 for every $1 increase in the stock price.
Delta also indicates the probability of a put finishing in the money.
At-the-money puts typically have a Delta close to -0.50, while deep in-the-money puts approach -1, and out-of-the-money puts near 0.
Gamma for Put Options
Gamma measures how much Delta changes as the stock price moves. It reflects the acceleration of price sensitivity, showing how quickly the Delta of a put adjusts to fluctuations in the underlying asset.
For example:
• A Gamma of 0.05 means Delta will shift by 0.05 for every $1 move in the stock price.
Unlike Delta, Gamma is always positive, as it describes the rate of change in sensitivity, regardless of whether the stock price rises or falls.
How Delta and Gamma Are Similar
Both Delta and Gamma gauge an option’s sensitivity to stock price changes.
They are highest for at-the-money puts and decrease for deep in-the-money or out-of-the-money options.
Together, they provide a detailed view of how a put option reacts to the stock price and how its sensitivity evolves over time.
Key Differences Between Delta and Gamma
While Delta tells you the immediate price change of a put option for a $1 move in the stock, Gamma focuses on how Delta itself changes with the stock price.
Delta provides a straightforward directional insight, whereas Gamma explains the speed of that directional change.
For instance, Delta may predict the price drop in a put as the stock price rises, while Gamma shows how this sensitivity lessens as the stock price moves further away from the strike price.
Practical Example
If a stock price increases by $1:
• A put with Delta = -0.50 and Gamma = 0.10 will see Delta shift from -0.50 to -0.40. This means the initial drop in the option price slows down as Delta adjusts due to Gamma.
Understanding both Delta and Gamma helps traders anticipate price changes more accurately and manage risks in a volatile market.
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This lesson is educational. Examples reflect the context in which they were recorded and do not guarantee returns. Check current information before making a financial decision.