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The Evolution of Portfolio Rules and the Capital Asset Pricing Model

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  • Sciubba, E.

Abstract

The aim of this paper is to test the performance of the standard version of CAPM in an evolutionary framework. We imagine a heterogeneous population of long-lived agents who invest their wealth according to differential porfolio rules and ask what is the fate of those who happen to behave as prescribed by CAPM. In a complete securities market with aggregate uncertainty, it is shown that traders who either believe' in CAPM and use it as a rule of thumb, or are endowed with genuine mean-variance preferences, under some very weak conditions, vanish in the long run. A sufficient condition to drive CAPM or mean-variance traders' wealth shares to zero is shown to be that an investor endowed with a logarithmic utility function enters the market. Finally, the robustness of the results is checked, allowing for different kinds of heterogeneity among traders.

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  • Sciubba, E., 1999. "The Evolution of Portfolio Rules and the Capital Asset Pricing Model," Cambridge Working Papers in Economics 9909, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:9909
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    1. Emanuela Sciubba, 2006. "The evolution of portfolio rules and the capital asset pricing model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 123-150, September.
    2. Thorsten Hens & Klaus Reiner Schenk-Hoppé & Martin Stalder, 2002. "An Application of Evolutionary Finance to Firms Listed in the Swiss Market Index," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 465-487, December.
    3. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2018. "Long-run heterogeneity in an exchange economy with fixed-mix traders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 407-447, August.
    4. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Evolutionary stability of portfolio rules in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 43-66, February.
    5. Ya-Chi Huang, 2017. "Exploring issues of market inefficiency by the role of forecasting accuracy in survivability," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 12(2), pages 167-191, July.
    6. Chueh-Yung Tsao & Ya-Chi Huang, 2018. "Revisiting the issue of survivability and market efficiency with the Santa Fe Artificial Stock Market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 537-560, October.
    7. Rabah Amir & Sergei Belkov & Igor V. Evstigneev & Thorsten Hens, 2022. "An evolutionary finance model with short selling and endogenous asset supply," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 655-677, April.
    8. David J Johnstone, 2023. "Capital budgeting and Kelly betting," Australian Journal of Management, Australian School of Business, vol. 48(3), pages 625-651, August.
    9. Tarek Coury & Emanuela Sciubba, 2012. "Belief heterogeneity and survival in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 37-58, January.
    10. Emanuela Sciubba, 2005. "Asymmetric information and survival in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 353-379, February.
    11. Evstigneev, Igor & Hens, Thorsten & Potapova, Valeriya & Schenk-Hoppé, Klaus R., 2020. "Behavioral equilibrium and evolutionary dynamics in asset markets," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 121-135.
    12. Giulio Bottazzi & Daniele Giachini, 2020. "Selection in incomplete markets and the CAPM portfolio rule," LEM Papers Series 2020/29, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    13. G. Caldarelli & M. Piccioni & E. Sciubba, 2000. "A Numerical Study on the Evolution of Portfolio Rules: Is CAPM Fit for Nasdaq?," Papers cond-mat/0009437, arXiv.org.
    14. Thomas Holtfort, 2019. "From standard to evolutionary finance: a literature survey," Management Review Quarterly, Springer, vol. 69(2), pages 207-232, June.
    15. Sergei Belkov & Igor V. Evstigneev & Thorsten Hens, 2020. "An evolutionary finance model with a risk-free asset," Annals of Finance, Springer, vol. 16(4), pages 593-607, December.
    16. Chen, Shu-Heng & Huang, Ya-Chi, 2008. "Risk preference, forecasting accuracy and survival dynamics: Simulations based on a multi-asset agent-based artificial stock market," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 702-717, September.
    17. Guerdjikova, Ani, 2004. "Evolution of wealth and asset prices in markets with case-based investors," Papers 04-49, Sonderforschungsbreich 504.
    18. Thorsten Hens & Fatemeh Naebi, 2022. "Behavioral heterogeneity in the CAPM with evolutionary dynamics," Journal of Evolutionary Economics, Springer, vol. 32(5), pages 1499-1521, November.
    19. I. V. Evstigneev & T. Hens & M. J. Vanaei, 2023. "Evolutionary finance: a model with endogenous asset payoffs," Journal of Bioeconomics, Springer, vol. 25(2), pages 117-143, August.
    20. Guido Caldarelli & M. Piccioni & E. Sciubba, 2000. "A Numerical Study On The Evolution Of Portfolio Rules," Computing in Economics and Finance 2000 334, Society for Computational Economics.

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    More about this item

    Keywords

    Evolution; Portfolio rules; CAPM; Kelly criterion;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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