In this thesis we deal with different topics in financial mathematics, that are all related to market imperfections and to the fundamental technique of utility maximization. The work consists of three parts. In the first one, which is based on two papers, we consider the problem of optimal...

Acteurs incontournables des marchés financiers, les hedge funds demeurent mal connus. Qui sont-ils ? Quelles sont leur techniques de gestion ? Qu'offrent-ils de différent en termes de performance et de risque ?

In this paper we deal with a utility maximization problem at finite horizon on a continuous-time market with conical (and time varying) constraints (particularly suited to model a currency market with proportional transaction costs). In particular, we extend the results in Campi and Owen (2011)...

Hedge fund replication based on factor models is encountering growing interest. In this paper, we investigate the implications of substituting standard rolling windows regressions, which appear ad-hoc, with more effcient methodologies like the Kalman flter. We show that the copycats constructed...

Alternative assets are gaining increasing importance in investors' portfolios. One of their defining characteristic is their poor liquidity, which often translates into an inherent smoothing process of the returns. For asset allocation purposes, this feature has to be seriously addressed as it...

Nous présentons et testons diverses mesures courantes de l'inclinaison des investisseurs vis-à-vis des produits risqués : les spreads high yield et émergent, les volatilités implicites sur les marchés boursiers et des changes, la corrélation taux d'intérêt/bourse, et celle entre...

Après avoir comparé les caractéristiques des marchés obligataires à haut rendement (high yield) en euro et en dollar, nous mettons en évidence : a) que ce type d'actifs s'insère favorablement dans une stratégie d'allocation optimale de portefeuille grâce à un profil rendement/risque...

This article applies a two-step conditional Bayesian approach to hedge fund risk. First, a mixture or-two normal distributions is estimated for a core asset; one distribution being identified as linked to a "quiet" regime and the other to a "hectic" regime. The conditional probabilities of each...