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Return Predictability and Stock Market Crashes in a Simple Rational Expectations Model¤

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Author Info

  • Günter Franke

    ()
    (University of Konstanz)

  • Erik Lüders

    ()
    (Laval University, Dresdner Bank AG)

Abstract

This paper presents a simple rational expectations model of intertemporal asset pricing. It shows that state-independent heterogeneous risk aversion of investors is likely to generate declining aggregate relative risk aversion. This leads to predictability of asset returns and high and persistent volatility. Stock market crashes may be observed if relative risk aversion differs strongly across investors. Then aggregate relative risk aversion may sharply increase given a small impairment in fundamentals so that asset prices may strongly decline. Changes in aggregate relative risk aversion may also lead to resistance and support levels as used in technical analysis. For numerical illustration we propose an analytical asset price formula.

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Bibliographic Info

Paper provided by Center of Finance and Econometrics, University of Konstanz in its series CoFE Discussion Paper with number 06-05.

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Length: 39 pages
Date of creation: 01 Jul 2006
Date of revision:
Handle: RePEc:knz:cofedp:0605

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Related research

Keywords: Aggregate relative risk aversion; Equilibrium asset price processes; Excess Volatility; Return predictability; Stock market crashes;

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References

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  1. Timothy C. Johnson, 2002. "Rational Momentum Effects," Journal of Finance, American Finance Association, vol. 57(2), pages 585-608, 04.
  2. Guntar Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterizations of the Pricing Kernel," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-003, New York University, Leonard N. Stern School of Business-.
  3. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
  4. Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Yacine Ait-Sahalia & Andrew W. Lo, 2000. "Nonparametric Risk Management and Implied Risk Aversion," NBER Working Papers 6130, National Bureau of Economic Research, Inc.
  6. Brennan, Michael & Wang, Ashley W & Xia, Yihong, 2003. "Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing," University of California at Los Angeles, Anderson Graduate School of Management qt20r0j5t8, Anderson Graduate School of Management, UCLA.
  7. Jens Carsten Jackwerth, 1998. "Recovering Risk Aversion from Option Prices and Realized Returns," Finance 9803002, EconWPA.
  8. Joshua Rosenberg & Robert F. Engle, 2000. "Empirical Pricing Kernels," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-014, New York University, Leonard N. Stern School of Business-.
  9. John Y. Campbell & John H. Cochrane, 1994. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," CRSP working papers 412, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  10. Timmermann, Allan G, 1993. "How Learning in Financial Markets Generates Excess Volatility and Predictability in Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1135-45, November.
  11. Yvan Lengwiler, 2005. "Heterogeneous Patience and the Term Structure of Real Interest Rates," American Economic Review, American Economic Association, vol. 95(3), pages 890-896, June.
  12. Pástor, Luboš & Veronesi, Pietro, 2002. "Stock Valuation and Learning about Profitability," CEPR Discussion Papers 3410, C.E.P.R. Discussion Papers.
  13. Guenter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," Finance 9904004, EconWPA.
  14. Bertram Düring & Erik Lüders, 2005. "Option Prices Under Generalized Pricing Kernels," Review of Derivatives Research, Springer, vol. 8(2), pages 97-123, August.
  15. Robert R. Bliss & Nikolaos Panigirtzoglou, 2004. "Option-Implied Risk Aversion Estimates," Journal of Finance, American Finance Association, vol. 59(1), pages 407-446, 02.
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Cited by:
  1. Günter Franke & Thomas Weber, 2006. "Wieweit tragen rationale Modelle in der Finanzmarktforschung?," CoFE Discussion Paper 06-09, Center of Finance and Econometrics, University of Konstanz.

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