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On the performance of efficient portfolios

  • Jan Wenzelburger
  • Volker Boehm

This paper investigates the performance of efficient portfolios in a financial market with heterogeneous investors including rational traders, noise traders, and chartists. A generalization of the security market line result states that, regardless of the diversity of beliefs, the portfolios of rational investors with mean-variance preferences are mean-variance efficient in the sense of classical CAPM. We show that, depending on the noise traders' behavior, the performance of efficient portfolios when measured by empirical Sharpe ratios can be dominated. Empirical Sharpe ratios may thus be inappropriate indicators for efficient portfolios.

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 197.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:197
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  1. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  2. Carl Chiarella & Xue-Zhong He, 1999. "Heterogeneous Beliefs, Risks and Learning in a Simple Asset Pricing Model," Research Paper Series 18, Quantitative Finance Research Centre, University of Technology, Sydney.
  3. LeBaron, Blake & Arthur, W. Brian & Palmer, Richard, 1999. "Time series properties of an artificial stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1487-1516, September.
  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. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-38, August.
  6. Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
  7. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
  8. Brock, W. & Lakonishok, J. & Lebaron, B., 1991. "Simple Technical Trading Rules And The Stochastic Properties Of Stock Returns," Working papers 90-22, Wisconsin Madison - Social Systems.
  9. Andrew W. Lo & Harry Mamaysky & Jiang Wang, 2000. "Foundations of Technical Analysis: Computational Algorithms, Statistical Inference, and Empirical Implementation," Journal of Finance, American Finance Association, vol. 55(4), pages 1705-1770, 08.
  10. 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.
  11. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  12. B hm, Volker & Wenzelburger, Jan, 2002. "Perfect Predictions In Economic Dynamical Systems With Random Perturbations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 687-712, November.
  13. 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.
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