The purpose of this text is to give a sound economic foundation of finance based on the general equilibrium model with incomplete markets which embodies the famous CAPM as an important special case. This goal is achieved by giving reasonable restrictions on the agents' characteristics that lead to a well determined financial markets model having a unique competitive equilibrium. The innovation of this book is to transfer and to extend the theoretical results on the structure of competitive equilibria into the modern context of incomplete financial markets. The book should be easily accessible by advanced PhD students as well as by theorists of any subfield of mathematical economics. It should be interesting both for theorists who are looking for possible applications of rigorous theorizing as well as for practitioners who seek for a theoretical foundation of fruitful applications of financial markets' models.
Thorsten Hens, Ph.D. University of Bonn, is professor for financial economics at the institute for empirical research in economics at the University of Zurich. He has held positions in Bielefeld, Paris and Stanford and is currently also an adjunct professor at the Finance Department of the Norwegian Business School, NHH, in Bergen. Beate Pilgrim, Ph.D. University of Bielefeld, is currently working for Reuters AG, Frankfurt.
I The General Equilibrium Model with Incomplete Markets.- 1. The Model and Some Fundamentals.- 2. Existence of Equilibria.- 3. Structure of GEI-Excess Demand.- 4. The Index-Theorem.- 5. Uniqueness in the Arrow-Debreu Model.- 6. Uniqueness in the Finance GEI-Model.- II The Capital Asset Pricing Model.- 7. The Model and Some Fundamentals.- 8. Existence of Equilibria.- 9. Market Demand Functions in the CAPM.- 10. Uniqueness of Equilibria in the CAPM.- Appendices.- Mathematics.- Assumptions.- Main Results.