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The volatility smile is a long-observed pattern in which at-the-money options tend to have lower implied volatilities than other options. The pattern displays different characteristics for different markets and results from the probability of extreme moves

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The volatility smile is a long-observed pattern in which at-the-money options tend to have lower implied volatilities than other options. The pattern displays different characteristics for different markets and results from the probability of extreme moves

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The volatility of sugar is 600.00

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Black-Scholes assumes the returns on prices follows a Normal (Gaussian) distribution. As the markets figured out this isn't the case, traders started demanding more money for options that were further out-of-the-money. This is called the "volatility smile".

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Volatility is the measure of how easily something evaporates.

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Option Vega is the change in the value of an option for a 1-percentage point increase in implied volatility, i.e. the first derivative of the option price with respect to volatility.

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