, especially on the BS implied volatility. Implied binomialtrees (IBT) models capture the variations of the implied volatility … known as \volatility smile". They provide a discrete approximation to the continuous risk neutral process for the underlying … Barle and Cakici (BC). After the formation of IBT we can estimate the implied local volatility and thestate price density …

Implied volatility is one of the key issues in modern quantitative finance, since plain vanilla option prices contain … yield low dimensional representations of the implied volatility surface (IVS). We discussestimation issues of the model and …

implied volatilities (IV) plays an important role, since volatility is the crucial parameter in the Black-Scholes (BS) pricing … known as volatility smiles or smirks that contradict the assumption of constant volatility in the BS pricing model. On the …

option prices. But some of its assumptions, like constant volatility or log-normal distribution of asset prices,do not find … implied volatility surface. To overcome this problem Carr and Madan (1999) developed a fast method to compute option prices …

volatility and long-term trend are driven by an external stochastic factor process. The robust utility functional is defined in …

order belief", on asset price volatility. The paper shows that heterogeneous expectations induce higher order beliefs and … that heterogeneous expectation asset pricing models thoretically generate more volatility than rational expectation models … results shows that a model with higher order beliefs generates a level of volatility in line with the price volatility …

pricing model. Implied volatility smiles appear to be explained by the negative asymmetry of the filtered historical … hedging in the presence of large volatility shocks. …

This paper extends the class of deterministic volatility Heath-Jarrow-Morton (1992) models to a Markov chain stochastic … volatility framework allowing for jump discontinuities and a variety of deformations of the term structure of forward rate … volatilities. Analytical solutions for the dynamics of the volatility term structure are obtained. Semimartingale decompositions of …

from a given set defined by the parametric volatility specification and the structure of a continuous time Markov chain that … modulates the volatility function. The first stochastic volatility specification generates jump discontinuities in volatility and … shape-preserving evolution of the volatility term structure in thefuture. The second specification allows, in addition, for …