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Endogenous Random Asset Prices in Overlapping Generations Economies

Author

Listed:
  • Volker Böhm
  • Nicole Deutscher
  • Jan Wenzelburger

Abstract

This paper derives a general explicit sequential asset price process for an economy with overlapping generations of consumers. They maximize expected utility with respect to subjective transition probabilities given by Markov kernels. The process is determined primarily by the interaction of exogenous random dividends and the characteristics of consumers, given by arbitrary preferences and expectations, yielding an explicit random dynamical system with expectations feedback. The paper studies asset prices and equity premia for a parametrized class of examples with CARA utilities and exponential distributions. It provides a complete analysis of the role of risk aversion and of subjective as well as rational beliefs.

Suggested Citation

  • Volker Böhm & Nicole Deutscher & Jan Wenzelburger, 2000. "Endogenous Random Asset Prices in Overlapping Generations Economies," Mathematical Finance, Wiley Blackwell, vol. 10(1), pages 23-38, January.
  • Handle: RePEc:bla:mathfi:v:10:y:2000:i:1:p:23-38
    DOI: 10.1111/1467-9965.00078
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    Citations

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    Cited by:

    1. Tomoo Kikuchi, 2006. "Risk, Nonconvergence and Cycles: A Two-Country Model," DEGIT Conference Papers c011_016, DEGIT, Dynamics, Economic Growth, and International Trade.
    2. Ulrich Horst & Jan Wezelburger, 2006. "Non-ergodic Behavior in a Financial Market with Interacting Investors," 2006 Meeting Papers 229, Society for Economic Dynamics.
    3. Bohm, Volker & Wenzelburger, Jan, 2005. "On the performance of efficient portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 721-740, April.
    4. Hillebrand, Marten & Wenzelburger, Jan, 2006. "The impact of multiperiod planning horizons on portfolios and asset prices in a dynamic CAPM," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 565-593, August.
    5. Böhm, Volker & Wenzelburger, Jan, 2002. "Perfect Predictions In Economic Dynamical Systems With Random Perturbations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 687-712, November.
    6. Jan Wenzelburger, 2010. "The two-fund separation theorem revisited," Annals of Finance, Springer, vol. 6(2), pages 221-239, March.
    7. Erhan Bayraktar & Ulrich Horst & Ronnie Sircar, 2007. "Queueing Theoretic Approaches to Financial Price Fluctuations," Papers math/0703832, arXiv.org.
    8. Volker Böhm & Carl Chiarella, 2005. "Mean Variance Preferences, Expectations Formation, And The Dynamics Of Random Asset Prices," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 61-97, January.
    9. Wenzelburger, Jan, 2008. "A Note on the Two-fund Separation Theorem," MPRA Paper 11014, University Library of Munich, Germany, revised 31 Sep 2008.
    10. Grassetti, Francesca & Mammana, Cristiana & Michetti, Elisabetta, 2022. "Nonlinear dynamics in real economy and financial markets: The role of dividend policies in fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    11. Marten Hillebrand, 2008. "Pension Systems, Demographic Change, and the Stock Market," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-77972-8, October.
    12. Kikuchi, Tomoo, 2008. "International asset market, nonconvergence, and endogenous fluctuations," Journal of Economic Theory, Elsevier, vol. 139(1), pages 310-334, March.
    13. Hillebrand, Marten & Wenzelburger, Jan, 2006. "On the dynamics of asset prices and portfolios in a multiperiod CAPM," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 578-594.
    14. Ed-Dafali, Slimane & Patel, Ritesh & Iqbal, Najaf, 2023. "A bibliometric review of dividend policy literature," Research in International Business and Finance, Elsevier, vol. 65(C).
    15. Wenzelburger, Jan, 2004. "Learning to predict rationally when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2075-2104, September.

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