Mean Variance Preferences, Expectations Formation, and the Dynamics of Random Asset Prices

Volker Bohm and Carl Chiarella

No 46, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: This paper analyzes the dynamics of a general explicit random price process of finitely many assets in an economy with overlapping generations of heterogeneous consumers forming optimal portfolios, extending the one dimensional investigation of Bohm, Deutscher and Wenzelburger (2000). Consumers maximize expected utility with respect to subjective transition probabilities defined by Markov kernels. Given a forecasting rule (predictor) and an exogeneous stochastic process of producer dividends, the dynamics of the economy is described as a random dynamical system in the sense of Arnold (1998). The paper investigates existence and stability of random fixed points (invariant measures) for mean-variance preferences under various forecasting schemes, including unbiased predictions as well as OLS forecasting. Numerical simulations show the stability and the performance of the different predictors for linear mean-variance preferences. Alternative random dividend processes are provided.

Keywords: random dynamical systems; expectations; learning; random asset pricing; mean variance preferences (search for similar items in EconPapers)
JEL-codes: E17 G12 O16 (search for similar items in EconPapers)
Pages: 54 pages
Date: 2000-10-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (23)

Published as: Bohm, V. and Chiarella, C., 2005, "Mean Variance Preferences, Expectations Formation, and the Dynamics of Random Asset Prices", Mathematical Financen, 15(1), 61-97.

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Related works:
Journal Article: MEAN VARIANCE PREFERENCES, EXPECTATIONS FORMATION, AND THE DYNAMICS OF RANDOM ASSET PRICES (2005)
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