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

tool for options portfolios using the "Maximum Loss" methodology based on Principal Components. -- Implied Volatility ; DAX …

By extending the GARCH option pricing model of Duan (1995) to more flexible volatility estimation it is shown that the … prices of out-of-the-money options strongly depend on volatility features such as asymmetry. Results are provided for the …

A primary goal in modelling the dynamics of implied volatility surfaces (IVS) aims at reducing complexity. For this …, neglects the degenerated string structure of the implied volatility data and may result in a severe modelling bias. We propose … value at risk computations and scenario analysis. -- Implied Volatility Surface ; Smile ; Generalized Additive Models …

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 …

maturities and moneyness dimension is neglected. In this paper we propose to estimate the implied volatility surface at each … point in time nonparametrically and to analyze the implied volatility surface slice by slice with a common principal … study a p variate random vector of k groups, say the "volatility smile" at p different grid points of moneyness for k …

find that the volatility depends on either the interest rate level or information shocks but not on both. Finally, we … propose to describe the short term interest rate's dynamics by means of an AR(1) model with stochastic volatility. -- Term … Structure Models ; Stochastic Volatility ; ARCH …

- 1998, namely FX-rates measured against the US dollar (USD) and the Japanese yen (JPY). Ta account for volatility e1ustering … prices. Having identified subperiods of homogeneous volatility dynamics we concentrate on stylized facts to distinguish these … volatility regimes. The bottom level of estimated volatility turns out be considerably higher during the second part of the …