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Optimal Portfolio Choice under Heterogeneous Beliefs

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  • Alexandre Ziegler

Abstract

This paper analyzes how an investor who is convinced that he can "beat the market" should behave when the equilibrium price process is endogenous. The investor's optimal portfolio is shown to consist of three components: (1) a tangency portfolio, (2) a hedge portfolio against changes in the market's valuation of securities, and (3) a hedging position against changes in the divergence between the investor's and the market's beliefs. The sign and magnitude of this third component will depend on investor preferences and on the divergence in the investor's and the market's quality of information. A numerical example illustrates that the effect of heterogeneous beliefs on optimal portfolio allocations can be significant. JEL classification codes: G11, G14.

Suggested Citation

  • Alexandre Ziegler, 2000. "Optimal Portfolio Choice under Heterogeneous Beliefs," Review of Finance, European Finance Association, vol. 4(1), pages 1-19.
    • Handle: RePEc:oup:revfin:v:4:y:2000:i:1:p:1-19.
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    File URL: http://hdl.handle.net/10.1023/A:1009876209659
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    Citations

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    Cited by:

    1. Lundtofte, Frederik, 2008. "Expected life-time utility and hedging demands in a partially observable economy," European Economic Review, Elsevier, vol. 52(6), pages 1072-1096, August.
    2. Benjamin Croitoru & Lei Lu, 2015. "Asset Pricing in a Monetary Economy with Heterogeneous Beliefs," Management Science, INFORMS, vol. 61(9), pages 2203-2219, September.
    3. Gau, Yin-Feng & Hua, Mingshu & Wu, Wen-Lin, 2010. "International asset allocation for incompletely-informed investors," Journal of Financial Markets, Elsevier, vol. 13(4), pages 422-447, November.
    4. David Feldman, 2007. "Incomplete information equilibria: Separation theorems and other myths," Annals of Operations Research, Springer, vol. 151(1), pages 119-149, April.
    5. Gianluca Cassese, 2008. "Asset Pricing With No Exogenous Probability Measure," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 23-54, January.
    6. Uppal, Raman & Dumas, Bernard & Kurshev, Alexander, 2005. "What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?," CEPR Discussion Papers 5367, C.E.P.R. Discussion Papers.
    7. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2009. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," Journal of Finance, American Finance Association, vol. 64(2), pages 579-629, April.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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