The entropy principle yields, for a given set moments, a density that involves the smallest amount of prior information. We first show how entropy densities may be constructed in a numerically efficient way as the minimization of a potential. Next, for the case where the first four moments are...

Gram-Charlier expansion have become popular in Finance as a generalization over the normality assumption. Even though Gram-Charlier expansions allow for a certain flexibility over skewness and kurtosis they have the unfortunate drawback of sometimes yielding negative densities. The goal of this...

Recent portfolio choice asset pricing and option valuation models highlight the importance of skewness and kurtosis. Since skewness and kurtosis are related to extreme variations they are also important for Value-at-Risk measurements. Our framework builds on a GARCH model with a condi-tional...

We develop a new methodology that measures conditional dependency. We achieve this by using copula functions that link marginal distributions, here chosen to obey a GARCH-type model with time-varying skewness and kurtosis. We apply this model to daily returns of stock-market indices. We find...

The aim of this paper is to compare various methods which extract a Risk Neutral Density (RND) out of PIBOR as well as of Notional interest rate futures options and to investigate how traders react to a political event. We first focus on 5 dates surrounding the 1997 snap election and several...

In the following paper the authors start with a review of theoretical elements of extreme value theory (evt). In the empirical section of this study they consider five mature markets, nine Asian, six Eastern European, and seven Latin American emerging markets. The tail-behavior of returns is...

Nous comparons dans ce papier la qualite et le contenu en information des densites neutres au risque, obtenus a partir de differentes representations de ces densites: l'approche non-parametrique fondee sur un melange de densites log-normales; les formulations semi-parametriques fondees sur...