Couverture / Jaquette

This book is the culmination of the authors¿ industry-academic collaboration in the past several years. The investigation is largely motivated by bank balance sheet management problems. The main difference between a bank balance sheet management problem and a typical portfolio optimization problem is that the former involves multiple risks. The related theoretical investigation leads to a significant extension of the scope of portfolio theories. The book combines practitioners¿ perspectives and mathematical rigor. For example, to guide the bank managers to trade off different Pareto efficient points, the topological structure of the Pareto efficient set is carefully analyzed. Moreover, on top of computing solutions, the authors focus the investigation on the qualitative properties of those solutions and their financial meanings. These relations, such as the role of duality, are most useful in helping bank managers to communicate their decisions to the different stakeholders. Finally, bank balance sheet management problems of varying levels of complexity are discussed to illustrate how to apply the central mathematical results. Although the primary motivation and application examples in this book are focused in the area of bank balance sheet management problems, the range of applications of the general portfolio theory is much wider. As a matter of fact, most financial problems involve multiple types of risks. Thus, the book is a good reference for financial practitioners in general and students who are interested in financial applications. This book can also serve as a nice example of a case study for applied mathematicians who are interested in engaging in industry-academic collaboration.

Note biographique

Dr. Stanislaus Maier-Paape graduated from University of Augsburg. He had several guest positions at University of Utah (Postdoc), Georgia Institute of Technology (Heisenberg Fellow), and University of Regensburg (guest professor), before he got a permanent professorship at RWTH Aachen University in 2001 where he still teaches. He is author of four books on higher mathematics for electrical engineers and physicists, author and co-author of over 60 research articles and guest editor of two Risks Special Issues. From 2011 up to now he serves as a member of the jury of the VTAD Award. His research interests range from Dynamical Systems/PDE to Quantitative Finance/Risk Management.

Table des matières

Preface.- Introduction.- Efficient Portfolios for Scalar Risk Functions.- Efficient Portfolios for Vector Risk Functions.- Application Examples.- Conclusion.- Appendix A Convex Programming Problems.- References.- Index.

Détails