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On the performance of efficient portfolios

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  • Jan Wenzelburger
  • Volker Boehm

Abstract

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.

Suggested Citation

  • Jan Wenzelburger & Volker Boehm, 2004. "On the performance of efficient portfolios," Computing in Economics and Finance 2004 197, Society for Computational Economics.
  • Handle: RePEc:sce:scecf4:197
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    13. 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.
    14. 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.
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    Citations

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    Cited by:

    1. Hommes, C.H., 2005. "Heterogeneous Agent Models in Economics and Finance, In: Handbook of Computational Economics II: Agent-Based Computational Economics, edited by Leigh Tesfatsion and Ken Judd , Elsevier, Amsterdam 2006," CeNDEF Working Papers 05-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    2. Chiarella, Carl & Dieci, Roberto & He, Xue-Zhong, 2007. "Heterogeneous expectations and speculative behavior in a dynamic multi-asset framework," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 408-427, March.
    3. Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
    4. Chiarella, Carl & He, Xue-Zhong & Zheng, Min, 2011. "An analysis of the effect of noise in a heterogeneous agent financial market model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 148-162, January.
    5. Hommes, C.H. & Wagener, F.O.O., 2008. "Complex evolutionary systems in behavioral finance," CeNDEF Working Papers 08-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    6. Weihong HUANG & Zhenxi CHEN, 2012. "Regional Financial Markets With Common Currency," Economic Growth Centre Working Paper Series 1210, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    7. Ulrich Horst & Jan Wezelburger, 2006. "Non-ergodic Behavior in a Financial Market with Interacting Investors," 2006 Meeting Papers 229, Society for Economic Dynamics.
    8. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
    9. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 9, July-Dece.
    10. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2013. "Time-varying beta: a boundedly rational equilibrium approach," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 609-639, July.
    11. Shapiro, Dmitry, 2009. "Evolution of heterogeneous beliefs and asset overvaluation," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 277-292, March.
    12. 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.
    13. Xue-Zhong He & Lei Shi, 2010. "Differences in Opinion and Risk Premium," Research Paper Series 271, Quantitative Finance Research Centre, University of Technology, Sydney.
    14. Erhan Bayraktar & Ulrich Horst & Ronnie Sircar, 2007. "Queueing Theoretic Approaches to Financial Price Fluctuations," Papers math/0703832, arXiv.org.
    15. 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.
    16. Dieci, Roberto & Westerhoff, Frank, 2010. "Heterogeneous speculators, endogenous fluctuations and interacting markets: A model of stock prices and exchange rates," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 743-764, April.
    17. Carl Chiarella & Xue-Zhong He & Min Zheng, 2007. "The Stochastic Dynamics of Speculative Prices," Research Paper Series 208, Quantitative Finance Research Centre, University of Technology, Sydney.
    18. Wenzelburger, Jan, 2008. "A Note on the Two-fund Separation Theorem," MPRA Paper 11014, University Library of Munich, Germany, revised 31 Sep 2008.
    19. Xue‐Zhong He & Lei Shi, 2012. "Boundedly rational equilibrium and risk premium," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 52(1), pages 71-93, March.
    20. Huang, Weihong & Chen, Zhenxi, 2014. "Modeling regional linkage of financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 18-31.
    21. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2010.
    22. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186, Elsevier.
    23. 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.
    24. Marcin Hernes & Jadwiga Sobieska-Karpińska, 2016. "Application of the consensus method in a multiagent financial decision support system," Information Systems and e-Business Management, Springer, vol. 14(1), pages 167-185, February.
    25. 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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    More about this item

    Keywords

    CAPM; efficient portfolios; heterogeneity; asset markets;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance

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