What is Gamma?

What is Gamma - Sensitivity of an option's delta to changes in the underlying asset's price.
What is Gamma?
3 mins read
10-May-2024

Measuring options pricing is crucial for options traders. This understanding helps identify the most suitable trading strategies and manage risk effectively. “Gamma” is a popular tool used to measure how an option's price changes in response to shifts in the underlying asset's value. It determines the option's sensitivity to market movements.

Let us understand what is gamma, its close relationship with delta, and how it determines options pricing.

What is gamma in options?

Gamma (Γ) is a Greek letter and is widely used in the context of options trading. It measures how fast the delta of an option changes. Delta shows how an option's price shifts for every Rs. 1 shift in the underlying asset's price. Gamma indicates how sensitive the option's price is to changes in the underlying asset's price.

Let us understand better with the help of a hypothetical example

  • Say the stock of ABC Ltd. is currently trading at Rs. 100 per share.
  • Assume that there is a call option on ABC Ltd. with a:
    • Strike price of Rs. 105
    • Gamma of 0.05
    • Delta 0.40

Now, there could be two potential situations where the stock price of ABC Ltd. might increase or decrease. Understand both of them through the table below:

Aspects Situation I: The stock price of ABC Ltd. increases by Rs. 1 to Rs. 101 Situation II: The stock price of ABC Ltd. decreases by Rs. 1 to Rs. 99
Change in delta
  • In this case, the call option's delta will also increase due to its positive gamma.
  • With a gamma of 0.05, the new delta will become 0.45 [0.40 (old delta) + 0.05 (gamma)]
  • In this case, the call option's delta will decrease due to its positive gamma.
  • With a gamma of 0.05, the new delta will become 0.35 [0.40 (old delta) - 0.05 (gamma)]
Impact on options pricing
  • For every Rs. 1 increase in the stock price, the option's price will increase by Rs. 0.45 due to the increase in delta.
  • For every Rs. 1 decrease in the stock price, the option's price will decrease by Rs. 0.35 due to the decrease in delta.

 

What is the range of delta?

Gamma measures how fast delta changes itself. This delta carries a different range for both call and put options. Let us take a closer look:

Parameters For call options For put options
Delta range 0 to 1 -1 to 0
In the money (ITM)
  • When the call option is in the money, the delta approaches 1. 
  • The option's price changes very closely in relation to changes in the price of the underlying asset.
  • When the put option is in the money, the delta approaches -1.
  • This means the option price moves inversely with changes in the underlying asset's price.
  • In other words, when the price of the stock goes up, the price of the put option tends to go down, and vice versa.
Out of the money (OTM)
  • When the call option is out of the money, the delta approaches 0.
  • This means the option price changes very little in response to changes in the underlying asset's price.
  • When the put option is out of the money, the delta again approaches 0.
ITM Example
  • Let’s say the stock price increases and the option's delta is close to 1.
  • Now, this indicates that for every Rs. 1 increase in the stock price, the option's price will also increase almost by Rs. 1.
  • So, they move together very closely, like they are tied together.
  • Similarly, if the stock price decreases, the option's price will also decrease, almost in line with it.
  • Let’s say the stock price rises by Rs. 1, and the put option's delta is close to -1.
  • It indicates that for every Rs. 1 increase in the stock price, the put option's price will decrease by almost Rs. 1. 
  • This suggests an inverse relationship between the:
    • Stock price and
    • Put option's price
OTM Example
  • Let us say the stock price increases and the call option’s delta is 0.
  • The option's price won't change much in response to this increase in the stock price.
  • Similarly, let us assume that the stock price decreases and the put option’s delta is 0.
  • Again, there will be no change in the price of the option.


What is a good gamma for options?

Investors must understand that there is no universally acceptable gamma. Its suitability depends on an investor's:

  • Objectives
  • Risk tolerance, and
  • Trading strategy

However, we can still define the various gamma levels and their indications

Higher gamma

  • When gamma is high, it means the option's delta is more reactive to shifts in the underlying asset's price.
  • Traders seeking to profit from short-term price movements can prefer options with higher gamma.
  • These kind of options:
    • Offer quicker changes in value
    • Lead to higher profits if the market moves in the desired direction

Lower gamma

  • Lower gamma implies that the option's delta changes more slowly in response to changes in the underlying asset's price.
  • Investors looking to hedge their positions can prefer options with lower gamma.
  • These kind of options:
    • Provide more stability and
    • Are less affected by short-term fluctuations in the underlying asset's price

Conclusion

Gamma is popularly used in options trading to track the speed at which the delta of an option changes. It indicates how sensitive the option's price is to changes in the stock price. Investors must note that there's no universally "good" gamma. However, higher gamma options offer opportunities for short-term profits, while lower gamma options provide stability and are favoured for hedging strategies.

Expand your market understanding today! Learn about stock options and selling options to improve your trading knowledge.

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Frequently asked questions

What is option gamma?
Option gamma measures how quickly the price of an option changes in response to changes in the price of the underlying asset.
What is a good gamma for options?
There is no universally good gamma, as its ideal figure entirely depends upon your risk tolerance and trading strategy.
How is gamma connected with delta?
Gamma measures the rate at which the delta of an option changes.
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