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Okoora infrastructure Glossary

Understand core FX, risk, and execution concepts used across Okoora’s infrastructure.

Gamma

What is Gamma in Finance?

Gamma is a second-order Greek that measures how much an option’s Delta changes for a $1 move in the underlying asset. It shows how quickly the option’s price sensitivity (Delta) changes, helping traders understand how fast their exposure may shift with market movements.

How It Works

Gamma gives traders insight into the stability of Delta, which is the rate of change in an option’s price relative to movements in the underlying asset. While Delta provides first-order price sensitivity, Gamma is the second derivative, or the rate at which Delta itself changes. Gamma is most significant for at-the-money options and increases as expiration nears. This makes options with high Gamma more responsive—and riskier—during rapid market shifts.

Example

Suppose a call option has a Delta of 0.50 and a Gamma of 0.10. If the underlying asset’s price rises by $1, the Delta increases to 0.60. If it rises another dollar, the Delta climbs to approximately 0.70. This shows how Gamma accelerates changes in exposure, which is especially important when hedging positions.

Key Concepts / Components

  • Delta: First-order Greek measuring how much an option’s price changes with the underlying. Gamma measures the rate of change of Delta itself.
  • Gamma Exposure: The total Gamma across a portfolio, impacting how often adjustments must be made to maintain a hedged position.
  • Gamma Scalping: A dynamic hedging strategy that aims to profit from high Gamma environments by frequently rebalancing Delta-neutral positions.
  • Theta: Time decay of an option’s value, often higher when Gamma is elevated due to proximity to expiration.
  • Vega: Measures sensitivity to volatility. At-the-money options with high Gamma also often have high Vega.

When It’s Used

Gamma is essential in managing option portfolios, particularly in volatile markets or near expiration. It helps traders:

  • Adjust hedge ratios in real-time as markets move
  • Manage nonlinear risk and portfolio sensitivity
  • Understand the interplay between Delta, Vega, and Theta in complex option strategies
  • Design strategies that profit from volatility (e.g., gamma scalping)

High Gamma positions require more active management, while low Gamma positions offer more stability but less responsiveness to market moves.

Related Terms

References

  • CBOE: The Greeks
  • Hull, J.C. (2018). Options, Futures, and Other Derivatives. Pearson.
  • Taleb, N.N. (1997). Dynamic Hedging: Managing Vanilla and Exotic Options. Wiley.
  • Natenberg, S. (1994). Option Volatility and Pricing. McGraw-Hill.