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.

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...

We propose an evaluation method for financial assets subject to default risk, when investors face imperfect information about the state variable triggering the default. The model we propose generalizes the one by Duffie and Lando (2001) in the following way:(i)it incorporates informational noise...

This paper develops a default-risky bond pricing model, which assumes that the default intensity is driven by a Markov chain and which accounts for default and liquidity risk. A representation of the bond price dynamics, which separates three different types of risk, was obtained. Introducing...

This paper studies in some examples the role of information in a default-risk framework. In a first-passage model, we assume that investors obtain two types of information about the firm’s unlevered asset value at a discrete sequence of dates. The effects of information on the distributional...