In the first part of this thesis, we introduce a new methodology for stress-test exercises. Our approach allows to consider richer stress-test exercises, which assess the impact of a modification of the whole distribution of asset prices’ factors, rather than focusing as the common practices...

The new prudential standards, Solvency II, consider the question of controling of insurer and reinsurer’s solvency. In this thesis, we’ve proposed technical solution for solvency capital assessment to keep ruin’s probability under the target of 0.5% aimed by the Solvency II project in...

Our aim in this thesis is to propose efficient algorithms for solving difficult combinatorial optimization problems. Our algorithms are based on a generic method of ordered enumeration. Initially, we describe the principle of ordered enumeration which consists in generating in a specific order...

In this thesis we explore some uses of optimal control and mass transport in economic modeling. We thus catch the opportunity to bring together some works involving both tools, sometimes mixing them. First, we briefly present the recent mean field games theory introduced by Lasry & Lions and...

This PhD thesis considers the optimal trading problem from the stochastic control approach and consists of four parts. In the first part, we begin with the study of the impacts generated by volumes on the price process. We introduce a structural model in which price movements are due to not only...

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...

This PhD thesis focuses on the impact of the European Union Emissions Trading Scheme (EU ETS) on investment decisions in the European power sector. We provide the policy background on the EU ETS and contemporary policy and economic developments. We discuss the main types of compliance buyers’...

This work focuses on modeling the dynamics of volatilities and correlations between financial assets returns. After a literature review of univariate and multivariate GARCH-type models, the author establishes results for the existence and uniqueness of stationary solutions of dynamic...

In this thesis we explore two recent topics in behavioral finance, namely portfolio optimization by non-expected utility insiders and existence of equilibria in financial markets populated by heterogeneous agents. Firstly, we review a number of theories which have been used to model behavioral...

This thesis studies portfolio choice and asset pricing with preferences which go beyond the standard expected utility and mean-Variance preferences. The first part of this thesis analyses a decision model in which the decision maker forms endogenous beliefs given his anticipation utility and his...