This doctoral thesis develops regime-switching models of the term structure of interest rates. A general framework is proposed to model the joint dynamics of yield curves associated with different debtors (Chapter 2). This framework is exploited to analyse the fluctuations of ten euro-area...

We define a coherent risk measures as set-valued maps satisfying some axioms. We show that this definition is a convenient extension of the real-valued risk measures introduced by Artzner, Delbaen, Eber and Heath (1998). We then discuss the aggregation issue, i.e. the passage from valued random...

The risk-neutral process is modeled by a four parameter self-similar process of independent increments with a self-decomposable law for its unit time distribution. Six different processes in this general class are theoretically formulated and empirically investigated. We show that all six models...

This paper analyses the private equity fund compensation. We build a model to estimate the expected revenue of fund managers as a function of their investor contracts. We tried to evaluate the present value of the carried interest, which is one of the most common profit sharing arrangements...

We consider a multivariate financial market with proportional transaction costs as in Kabanov (1999). We study the problem of contingent claim pricing via utility maximization as in Hodges and Neuberger (1989). Using an exponential utility function, we derive a closed form characterization for...

We consider a financial market with costs as in Kabanov and Last (1999). Given a utility function defined on ${\mathbb R}$, we analyze the problem of maximizing the expected utility of the liquidation value of terminal wealth diminished by some random claim. We prove that, under the Reasonable...

We consider a general discrete-time dynamic nancial market with three assets: a riskless bond, a security and a derivative. The market is incomplete (apriori) and at equilibrium. We assume also that the agents of the economy have short-sales constraints on the stock and that the payo at the...

This paper presents a simple framework for the use of traditional capital budgeting models and the valuation of several real options in the presence of shadow costs of incomplete information. Information costs can be viewed as sunk costs in the spirit of Merton’s (1987) model of capital market...

Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most...

We investigate in this paper a perpetual prepayment option related to a corporate loan. The default intensity of the firm is supposed to follow a CIR process. Two frameworks are discussed: first a constant interest rate and a secondly a multi-regime framework where the interest rate is augmented...