Options Greeks
Quick Definition
A set of risk measures (delta, gamma, theta, vega, rho) that quantify how an option's price responds to changes in various market factors.
What Is Options Greeks?
The Options Greeks are a collection of mathematical measures that describe the sensitivity of an option's price to various factors. Delta measures sensitivity to the underlying price, gamma measures the rate of change of delta, theta measures time decay, vega measures sensitivity to implied volatility, and rho measures sensitivity to interest rates. Together, they provide a comprehensive framework for understanding and managing options risk. The Greeks are derived from options pricing models like Black-Scholes and are essential for position management, hedging, and strategy selection. Portfolio-level Greeks (summing across all positions) tell traders their aggregate exposure to each risk factor. Professional options traders monitor their Greeks continuously and adjust positions to maintain desired risk profiles. The term "Greeks" comes from the Greek letters used to denote these sensitivities.
Options Greeks Example
- 1A portfolio shows: delta +500, gamma +20, theta -$150/day, vega +$300. This means the position gains ~$500 per $1 stock rise but loses $150 daily to time decay
- 2A market maker neutralizes portfolio delta by trading stock, then manages remaining gamma and vega exposure through options adjustments
Related Terms
Delta (Options)
A Greek that measures how much an option's price changes for a $1 move in the underlying asset, also approximating the probability of expiring in the money.
Gamma (Options)
A Greek that measures the rate of change of delta for a $1 move in the underlying, indicating how quickly an option's directional exposure shifts.
Theta (Options)
The Greek that measures the rate at which an option loses value as time passes, also known as time decay.
Vega (Options)
The Greek that measures an option's sensitivity to changes in implied volatility of the underlying asset.
Rho (Options)
A Greek that measures an option's sensitivity to changes in the risk-free interest rate, typically the least impactful Greek for short-term options.
Call Option
A contract giving the holder the right, but not the obligation, to buy an underlying asset at a specified price within a specified time period.
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