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Your Beginners guide to 5 Option greeks

Written by - Marisha Bhatt

October 10, 2023 9 minutes

Are you an options trader or someone keen to start their options trading journey? Then the first step for you is to learn the basics of options trading. Unlike futures, this involves understanding some deep concepts like options greeks. Is this term new to you? Then read on to understand this in a simple manner to learn the ropes of options trading. 

Read More: Basic options strategies you should know 

What are options greeks?

Options Greeks serve as a crucial toolkit for traders, allowing them to evaluate and manage the complexities of trading options effectively. These parameters are indispensable in the options market, as they provide valuable insights into how option prices are influenced by changes in the price of the underlying asset, time until expiration, implied volatility, and interest rates.

The five primary greeks used by traders include Delta, Gamma, Theta, Vega, and Rho. Each of these greeks plays a specific role in this intricate landscape. By having a thorough understanding of these concepts, options traders can gain a deep analysis of the inherent risks and rewards which is crucial in making well-informed decisions, effectively managing their risk exposure, and crafting trading strategies that align with their financial goals. 

What are the 5 Greeks in Options?

As mentioned above, the 5 main options greeks are Delta, Gamma, Theta, Vega and Rho. Given here is a detailed explanation of these option greeks to provide a better understanding of option trading. 

Delta 

Delta is the first level analysis of time decay and the impact of price volatility of the underlying asset on the option. This also makes it one of the most popular and most used options greeks. Delta is explained as the measure of how much an option’s price is likely to change in response to a one-point change in the price of the underlying asset. In other words, it tells you the sensitivity of the option’s value to the movement of the underlying asset. For instance, if a call option has a delta of 0.60, it suggests that for every one-point increase in the underlying asset’s price, the option’s price is expected to rise by 60%. 

Formula to calculate Option Greek -Gamma

Delta (Δ) = Change in Option Price / Change in Underlying Asset Price

Understanding Delta in Option greeks with an example

Let us assume a trader has a call option on a stock. The call option has a Delta of 0.60. This means that for every one-point increase in the stock’s price, the option’s price is expected to increase by 0.60 points.

For instance, if the stock is trading at Rs.1000, and it goes up by Rs.10 to Rs.1010, we can use Delta to estimate how much the price of the call option price might increase.

Delta (Δ) = Change in Option Price / Change in Stock Price

Delta (Δ) = Δ0.60 * Rs.10 = Rs.6

So, in this case, the call option’s price would likely increase by Rs.6, assuming other factors remain constant. Conversely, if the stock price falls by Rs.10, the price of the call option would decrease by Rs.6, as indicated by the Delta.

Gamma

Gamma is the next level of understanding the changes in option pricing after Delta greek. Gamma greeks measure the rate of change of Delta. It shows how much the Delta of an option will change with the change in the price of the underlying asset. This analysis is important as it helps traders understand the volatility of their trading positions and how quickly they need to adjust their strategies in response to market movements. 

Formula to calculate Option Greek -Gamma

Gamma (Γ) = Change in Delta / Change in Underlying Asset Price

Understanding Gamma in Option greeks with an example

Suppose a trader has a have a call option on a stock with a Gamma of 0.05. This means that for every one-point change in the stock’s price, the Delta of their option will change by 0.05.

For instance, if the stock is trading at Rs.1000, and its price increases by Rs.10 to Rs.1010, we can use the Gamma to estimate how much the Delta of the call option might change.

Change in Delta = Gamma (Γ) * Change in Stock Price

Change in Delta = 0.05 * Rs.10 = Rs.0.50

Therefore, if the stock price goes up by Rs.10, the Delta of the call option would likely increase by Rs.0.50 due to Gamma. This means that the option becomes more sensitive to price changes in the underlying stock.

Theta

This is the next level of analysis of the option pricing. Theta indicates the extent to which an option’s price is affected by the passage of time and measures how an option’s value gradually diminishes as time goes by. It essentially captures the concept of “time decay” or the erosion of an option’s worth over time. As each day passes, options tend to lose value, and this can significantly affect their profitability. 

Formula for Option greek – Theta (Θ)

Theta (Θ) = Change in Option Price / Change in Time

Understanding Theta in Option greeks with an example

Suppose a trader has a call option on a stock, and its Theta is -Rs.2. This means that for each day that passes, the value of the option value is expected to decrease by Rs.2, all else being equal.

For instance, if the option is currently worth Rs.20 and a day passes without any change in other factors, we can use Theta to estimate how much its value might decrease:

Change in Option Price = Theta (Θ) * Change in Time

Change in Option Price = -Rs.2 * 1 day = -Rs.2

In this case, if a day goes by, your call option’s price would likely decrease by Rs.2 due to Theta, leaving it worth Rs.18. This demonstrates the concept of time decay, where options become less valuable as time elapses.

Vega

The next level of options greeks is Vega. Vega measures the sensitivity of an option’s price to changes in implied volatility. Implied volatility is the reflection of the market expectations for future price fluctuations. Vega helps traders assess how option prices might react to changing market sentiment, which can be particularly important in a rapidly developing market. 

Formula for Option greek – Vega(V)

Vega (V) = Change in Option Price / Change in Implied Volatility

Understanding Vega with an example

Consider a trader with a call option on a stock, and its Vega is Rs.5. This means that for each percentage point increase in implied volatility, your option’s price is expected to rise by Rs.5, assuming all other factors remain constant.

For instance, if the call option is currently priced at Rs.50 and there is a 2% increase in implied volatility, traders can use Vega to estimate how much its price might change in the following manner.

Change in Option Price = Vega (V) * Change in Implied Volatility

Change in Option Price = Rs.5 * 2% = Rs.1

So, in this scenario, if implied volatility goes up by 2%, your call option’s price would likely increase by Rs.1 due to Vega, making it worth Rs.51. This demonstrates the significance of Vega in understanding how changes in market sentiment (implied volatility) can impact option prices.

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Rho

Rho is a step further in understanding changes in option pricing due to external factors like dynamic interest rates. Rho represents the sensitivity of an option’s price to changes in interest rates. While interest rates may not be the primary focus of options traders, Rho becomes significant when dealing with long-dated options or in scenarios where interest rates play a substantial role in the market environment.

Formula for Option greek – Rho

Rho (ρ) = Change in Option Price / Change in Interest Rates

Understanding Rho with an example

Consider a trader with a call option on a stock, and its Rho is 0.03. This means that for every 1% increase in interest rates, the price of the call option is expected to increase by 3 paise (0.03 rupees), assuming all other factors remain constant.

For example, if the call option is currently valued at Rs. 100, and there is a 1% increase in interest rates, traders can use Rho to estimate how much its price might change in the following manner.

Change in Option Price = Rho (ρ) * Change in Interest Rates

Change in Option Price = 0.03 * 1% = Rs. 0.03 or 3 paise

Therefore, in this case, if interest rates go up by 1%, the price of the call option would likely increase by 3 paise due to Rho, making it worth Rs. 100.03.

What are the benefits of option Greeks?

The benefits of option Greeks include the ability to quantify and understand the sensitivity of options to various factors like price movements, time decay, implied volatility, and interest rates. This information empowers traders to make informed decisions, manage risk, and develop effective options trading strategies.

Conclusion

The term options greeks may sound quite complicated and technical to the average options trader. However, it is useful in gaining deep insight into options pricing and thereby determining the correct options trading strategies. Therefore, having a clear understanding of options greeks is crucial to have a successful option trading portfolio. 

FAQs

1. Which option Greek is most important?

Delta is often considered the most important option Greek because it measures the sensitivity of an option’s price to changes in the underlying asset’s price, making it a key factor in assessing risk and potential rewards in options trading.

2. What is IV in option trading?

IV stands for “Implied Volatility” in options trading. It is a measure of the market’s expectations for future price fluctuations of the underlying asset, and it plays a crucial role in determining option prices. Higher implied volatility generally leads to higher option premiums, reflecting greater uncertainty and potential price swings in the underlying asset.

3. What is time decay?

Time decay, also known as theta decay, refers to the gradual reduction in the value of an option as it approaches its expiration date. It occurs because options lose their intrinsic value over time, making them less valuable, all else being equal.

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