Dimension reduction techniques for functional data analysis model and approximate smooth random functions by lower dimensional objects. In many applications the focus of interest lies not only in dimension reduction but also in the dynamic behaviour of the lower dimensional objects. The most...

In this paper we expand the literature of risk neutral density estimation across maturities from implied volatility curves, usually estimated and interpolated through cubic smoothing splines. The risk neutral densities are computed through the second derivative as in Panigirtzoglou and...

This book surveys and summarizes the numerous approaches used to extract information on market expectations from option prices. The various approaches are thoroughly explained and many practical issues are discussed, including: data selection, data preparation, and presentation and...

In the paper we present the application of risk neutral measure estimation in the analysis of the index WIG20 from Polish stock market. The risk neutral measure is calculated from the process of the options on that index. We assume that risk neutral measure is the mixture of lognormal...

We propose a non-structural method to retrieve the risk-neutral density (RND) impliedby options on the CBOE Volatility Index (VIX). The methodology is based on orthogonalpolynomial expansions around a kernel density and yields the RND of the underlyingasset without the need for a parametric...

Grundlagen der Optionspreistheorie -- Extrahierung der risikoneutralen Wahrscheinlichkeitsdichtefunktion -- Anwendungsgebiete risikoneutraler Wahrscheinlichkeitsdichtefunktionen -- Empirische Untersuchungen -- Zusammenfassung und Schlussfolgerungen.