This book explains key financial concepts, mathematical tools and theories of mathematical finance. It is organized in four parts. The first brings together a number of results from discrete-time models. The second develops stochastic continuous-time models for the valuation of financial assets...

In the last forty years, the theory of financial markets has become a growing field of interest for academics as well as for practitioners. We present here an overview of the main topics.

La présentation de la théorie du stockage et de la notion de convenience yield permet d’exposer les fondements théoriques des modèles de structure par terme des prix des commodités. Ces derniers peuvent être utilisés pour réaliser des opérations de couverture ou dans le cadre de...

This article documents the conditional and unconditional distributions of the realized volatility for the 2008 futures contract in the European climate exchange (ECX), which is valid under the EU emissions trading scheme (EU ETS). Realized volatility measures from naive, kernel-based and...

We study an optimal investment problem under contagion risk in a financial model subject to multiple jumps and defaults. The global market information is formulated as progressive enlargement of a default-free Brownian filtration, and the dependence of default times is modelled by a conditional...

This paper empirically tests the determinants of derivatives use using a sample of French nonfinancial firms- a relatively under investigated area in the risk management literature. It shows that several factors related to maximizing the firm's value significantly affect the decision to use...