Implied Volatility

What Is Implied Volatility?

Implied volatility, as its name suggests, is the volatility implied (contained or priced in) the price of an option. According to commonly used option pricing models (such as the Black-Scholes model), option prices depend on a number of factors, including among other things underlying price, time to expiration, and volatility. Other factors being equal, the higher implied volatility, the higher the price of the option.

The relationship between an option’s price and volatility is measured by vega, one of the so called option Greeks. Vega is the first derivative of an option’s price with respect to volatility.

Calculating Implied Volatility

Because the option pricing models are usually mathematically quite complicated (they reflect the fact that the exact relationship between volatility and option prices is also quite complicated), it is not possible to derive a direct formula for implied volatility from common option pricing models. However, you can get to implied volatility by trial and error, which is easy to do in Excel using the Goal Seek feature. The process is explained here: Calculating Implied Volatility in Excel

You can also calculate implied volatility (using Excel Goal Seek) comfortably in the Black-Scholes Calculator. Its PDF guide includes more detailed discussion about it, as well as about vega and the relationship between volatility and option prices. You can also use it to simulate how implied volatility, vega, or option price will behave under different scenarios (e.g. change with passing time or changing underlying price).

Finances News

variance in grouped data how to find range variance and standard deviation what is the formula for mean deviation how to calculate sigma in excel standard deviation calculating what is the formula for sample variance mean deviation examples how to find the standard deviation on a calculator finding covariance in excel standard deviation table calculator finding sample variance standard deviation for grouped data formula define average deviation formula for coefficient of variation in excel excel std deviation calculate variance calculator how to figure out standard deviation on excel define std deviation how to find range variance and standard deviation how to use stdev in excel how to find standard deviation on the calculator geometric mean formula excel var calculation excel how to compute the sample variance variance formula in excel how to calculate standard deviation statistics summation calculator with steps calculate standard deviation calculator standard deviation equation excel price variance calculation average squared deviation excel formulas standard deviation excel sample size calculator