In the field of finance, a measure for variation of a financial instrument price over time is recognized as volatility. The application of the volatility is derived from the market price of the market traded derivative. Volatility is a statistical measure which distributed returns for a given security or market index. The measurement process of volatility is can be done either by using standard deviation or variance between returns of that same security or market index. It is seen that when the volatility goes higher the risk of that investment simultaneously touches high ranks.
In other words, volatility is a variable option pricing formulas which exhibit the extension on which the return of the asset will differentiate from now than to the expiration of the option. Volatility is interpreted as a percentage that arises from the daily trading activities.
Modelling and Simulation of Stochastic Volatility in Finance By Christian Kahl (published by Universal-Publishers, 2008)
Derivatives in Financial Markets with Stochastic Volatility By Foque Jean-Peirre, George Papanicolaou, K. Ronnie Sircar (published by Cambridge University Press, 2000)
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