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AuthorZiegler, Alexandre. author
TitleIncomplete Information and Heterogeneous Beliefs in Continuous-time Finance [electronic resource] / by Alexandre Ziegler
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003
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Descript XIII, 198 p. online resource


Continuous-time finance was developed in the late sixties and early seventies by R. C. Merton. Over the years, due to its elegance and analytical conveยญ nience, the continuous-time paradigm has become the standard tool of analยญ ysis in portfolio theory and asset pricing. However, and probably because it was developed hand in hand with option pricing, in which investors' expectaยญ tions were thought not to matter, continuous-time finance has for a long time almost entirely neglected investors' beliefs. More recently, the development of martingale pricing techniques, in which expectations playa dominant role, and the blurring boundary between those methods and the original methods of continuous-time finance based on the Ito calculus, have allowed expectaยญ tions to regain their central role in finance. The habilitation thesis of Professor Alexandre Ziegler is entirely devoted to the role of expectations in continuous-time finance. After a brief review of the literature, the author analyzes the consequences of incomplete informaยญ tion and heterogeneous beliefs for optimal portfolio and consumption choice and equilibrium asset pricing. Relaxing the assumption that investors can obยญ serve expected dividend growth perfectly, the author shows that incomplete information affects stock prices and their dynamics, thus providing a potential explanation for the asset price bubble of the late 1990s. He also demonstrates how the presence of heterogeneous beliefs among investors affects their optiยญ mal portfolios and their optimal consumption patterns


1 Incomplete Information: An Overview -- 1.1 Introduction -- 1.2 Portfolio Choice -- 1.3 The Term Structure of Interest Rates -- 1.4 Equilibrium Asset Pricing -- 1.5 Conclusion and Outlook -- 2 The Impact of Incomplete Information on Utility, Prices, and Interest Rates -- 2.1 Introduction -- 2.2 The Model -- 2.3 Equilibrium -- 2.4 Logarithmic Utility -- 2.5 Power Utility -- 2.6 Information, Utility, Prices, and Interest Rates: A Synthesis -- 2.7 Time-Varying Parameters -- 2.8 Conclusion -- 3 Optimal Portfolio Choice Under Heterogeneous Beliefs -- 3.1 Introduction -- 3.2 The Model -- 3.3 The Deviant Agentโ{128}{153}s Problem -- 3.4 Optimal Portfolio Choice -- 3.5 An Example -- 3.6 Conclusion -- 4 Optimal Consumption Under Heterogeneous Beliefs -- 4.1 Introduction -- 4.2 The Cox-Huang Methodology -- 4.3 Heterogeneous Beliefs -- 4.4 An Example -- 4.5 Portfolios and Consumption: A Synthesis -- 4.6 Conclusion -- 5 Equilibrium Asset Pricing Under Heterogeneous Beliefs -- 5.1 Introduction -- 5.2 The Model -- 5.3 Equilibrium Consumption -- 5.4 Equilibrium Prices -- 5.5 Implied Risk Aversion -- 5.6 Conclusion -- 6 Costly Information, Imperfect Learning, and Information Aggregation -- 6.1 Introduction -- 6.2 The Model -- 6.3 Portfolio Choice under Costly Information -- 6.4 Equilibrium Asset Pricing -- 6.5 Information Aggregation and the Equity Premium -- 6.6 Conclusion -- 7 Summary and Conclusion -- C The Short Rate Under Heterogeneous Beliefs -- References -- List of Figures -- List of Tables -- List of Symbols

Finance Economics Mathematical Finance Finance general Quantitative Finance


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