, 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 …

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 …

characterized by volatility clustering and asymmetry. Also revealed as a stylized fact is Long memory or long range dependence in … market volatility, with significant impact on pricing and forecasting of market volatility. The implication is that models … that accomodate long memory hold the promise of improved long-run volatility forecast as well as accurate pricing of long …

In this paper we propose a Libor model with a high-dimensional speciallystructured system of driving CIR volatility …

The volatility implied by observed market prices as a function of the strikeand time to maturity form an Implied … Volatility Surface (IV S). Practicalapplications require reducing the dimension and characterize its dynamicsthrough a small … investigating long range dependencein the factor loadings series. Our result reveals that shocks to volatility persistfor a very …

A primary goal in modelling the implied volatility surface (IVS) for pricing andhedging aims at reducing complexity … approach, however, neglects the degenerated string structure of the implied volatility data and may result in a modelling bias … generalized vega-hedging strategy for exotic options that are priced in the local volatility framework. The generalized vega …