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.

We examine the empirical validity of the Fed Model and the Graham and Dodd model for five countries and over a time period spanning three decades by applying the Enders and Granger (1998) and Enders and Siklos (2001) threshold unit-root and cointegration tests. Our results support the hypothesis...

This article presents and compares two different Kalman filters. These methods provide a very interesting way to cope with the presence of non-observable variables, which is a frequent problem in finance. They are also very fast even in the presence of a large information volume. The first...

In order to enhance the understanding of the term structure of commodity prices, this article examines the temporal integration of the American crude oil futures market. The study relies on a database including futures prices for very long maturities (as far as seven years) and compares their...

Twenty years of liberalization have transformed the energy sector. The old energy world of long-term contracts and personal contacts has changed beyond recognition into a set of highly competitive markets with instantaneous decision-making much like the financial sector. Decentralized...

This article emphasises that the information provided by term structures of commodity prices has an influence on the real option value and on the investment decision. We exhibit first of all the analysis framework: the evaluation of an oil field. We suppose that a single source of uncertainty -...