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 …

is the volatility coefficient which in turn obeys an autoregression type equation log v t = w + a S t- l + nt with an …

Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric …

mean. For the volatility function, i.e., the conditional variance given the past, a multiplicative structure is more … appropriate than an additive one, as the volatility is a positive scale function and a multiplicative model provides a better … additive mean and the multiplicative volatility. The technique used is marginally integrated local polynomial estimation. The …

assets, stock market indices, exchange rates etc. A particular problem in investigating multivariate volatility processes … arises from the high dimensionality implied by a simultaneous analysis of variances and covariances. Parametric volatility … to a parametric approach, namely the multivariate GARCH model. -- stochastic volatility model ; adaptive estimation …