The analysis of volatility in financial markets has become a first rank issue in modern financial theory and practice … of volatility. Much research has been done on the analysis of realized historic volatilities, Roll (1977) and references … solved for the constant volatility parameter a using observed option prices. This is a more natural approach as the option …

We establish a relation between stochastic volatility models and the class of generalized hyperbolic distributions …

prices caused by stochastic volatility. -- option pricing ; autoregression ; heteroskedasticity ; GARCH ; leverage effect …

incomplete information about the unknown stochastic volatility. The option price is determined by a uniform-price auction. Thus … unknown stochastic volatility under an explicit market structure. This paper incorporates market microstructure considerations … into an extended Black-Scholes model with incomplete information on the underlying volatility. It relies on the growing …