The goal of this thesis in finance is to combine the use of advanced mathematical methods with a return to foundational economic issues. In that perspective, I study generalized rational expectations and asset pricing in Chapter 2, and a converse comparison principle for backward stochastic differential equations with jumps in Chapter 3. Since the use of stochastic methods in finance is an interesting and complex issue in itself - if only to clarify the difference between the use of mathematical models in finance and in physics or biology - I also present a philosophical reflection on the interpretation of mathematical models in finance (Chapter 4). In Chapter 5, I conclude the thesis with an essay on the history and interpretation of mathematical probability - to be read while keeping in mind the fundamental role of mathematical probability in financial models. / Doctorat en Sciences économiques et de gestion / info:eu-repo/semantics/nonPublished
Identifer | oai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/209938 |
Date | 19 May 2011 |
Creators | De Scheemaekere, Xavier |
Contributors | Pirotte, Hugues, Szafarz, Ariane, Gassner, Marjorie, Patie, Pierre, Delbaen, Freddy, Deelstra, Griselda, Jeanblanc, Monique |
Publisher | Universite Libre de Bruxelles, Université libre de Bruxelles, Faculté Solvay Brussels School of Economics and Management, Bruxelles |
Source Sets | Université libre de Bruxelles |
Language | English |
Detected Language | English |
Type | info:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation |
Format | 1 v. (65 p.), No full-text files |
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