Many option traders rely on the "Greeks" to evaluate option positions. The Greeks are a collection of statistical values that measure the risk involved in an options contract in relation to certain underlying variables. Popular Greeks include Delta, Vega, Gamma and Theta.
Δ Delta - Sensitivity to Underlying's Price
Delta, the most popular options Greek, measures an option's price sensitivity relative to changes in the price of the underlying, and is the number of points that an option's price is expected to move for each one point change in the underlying. Delta is important because it provides an indication of how the option's value will change with respect to price fluctuations in the underlying instrument, assuming all other variables remain the same.
Delta is typically shown as a numerical value between 0.0 and 1.0 for call options and 0.0 and -1.0 for put options. In other words, option delta will always be positive for calls and negative for puts. It should be noted that delta values can also be represented as whole numbers between 0.0 and 100 for call options and 0.0 to -100 for put options, rather than using decimals. Call options that are out-of-the-money will have delta values approaching 0.0; in-the-money call options will have delta values that are close to 1.0.
ν Vega - Sensitivity to Underlying's Volatility
Vega measures an option's sensitivity to changes in the volatility of the underlying. Vega represents the amount that an option's price changes in response to a 1% change in volatility of the underlying market. The more time that there is until expiration, the more impact increased volatility will have on the option's price.
Because increased volatility implies that the underlying instrument is more likely to experience extreme values, a rise in volatility will correspondingly increase the value of an option and, conversely, a decrease in volatility will negatively affect the value of the option.
Γ Gamma – Sensitivity to Delta
Gamma measures the sensitivity of delta in response to price changes in the underlying instrument. Gamma indicates how delta will change relative to each one point price change in the underlying. Since delta values change at different rates, gamma is used to measure and analyze delta. Gamma is used to determine how stable an option's delta is; higher gamma values indicate that delta could change dramatically in response to even small movements in the underlying's price.
Gamma increases as options become at-the-money and decrease as options become in- and out-of-the-money. Gamma values are generally smaller the further away from the date of expiration; options with longer expirations are less sensitive to delta changes. As expiration approaches, gamma values are typically larger as delta changes have more impact.
Θ Theta – Sensitivity to Time Decay
Theta measures the time decay of an option - the theoretical dollar amount that an option loses every day as time passes, assuming the price and volatility of the underlying remain the same. Theta increases when options are at-the-money; theta decreases when options are in- and out-of-the money. Long calls and long puts will usually have negative theta; short calls and short puts will have positive theta. By comparison, an instrument's whose value is not eroded by time, such as a stock, would have zero theta.
Trading and analysis platforms, as well as online calculators, can provide options traders with current Greek values for any options contract. Figure 12, for example, shows the Delta, Gamma, Theta, Vega and Rho values for both call and put options. These values will change as other variables, such as strike price, change.
|Figure 12: The Greeks|
TradingWe look at the different kinds of Greeks and how they can improve your forex trading.
TradingThese risk-exposure measurements help traders detect how sensitive a specific trade is to price, volatility and time decay.
TradingUnderstanding price influences on options positions requires learning about delta, theta, vega and gamma.
TradingDelta, gamma, theta and vega are “the Greeks,” and they provide a way to measure the sensitivity of an option’s price.
TradingGamma is a measurement of how fast the delta of an option’s price changes after a 1-point movement in the underlying security.
TradingLearn more about the position delta hedge ratio and how it can tell you the number of contracts needed to hedge a position in the underlying asset.
TradingFind the middle ground between conservative and high-risk option strategies.
TradingFind out how you can use the "Greeks" to guide your options trading strategy and help balance your portfolio.
TradingFind out how delta, gamma, risk reversals and volatility can all help predict movements in the cash market.
TradingDelta hedging is a derivative trading strategy that attempts to reduce -- or eliminate -- the risk caused by price changes in the underlying asset.