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Well Diversified Efficient Portfolios

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  • Alejandro Corvalán

Abstract

Investors scarcely use mean-variance optimization when deciding on their actual portfolios. One of the main reasons they give is that efficient portfolios are systematically concentrated in a few assets. This article shows that such an allocation is achieved when portfolio risk and return are seen as infinitely accurate magnitudes. However, if the frontier is considered within some infinitesimal tolerance, as in a one-hundredth neighborhood, there are thousands of efficient portfolios and, indeed, many of them are well diversified.

Suggested Citation

  • Alejandro Corvalán, 2005. "Well Diversified Efficient Portfolios," Working Papers Central Bank of Chile 336, Central Bank of Chile.
  • Handle: RePEc:chb:bcchwp:336
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    References listed on IDEAS

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    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. Green, Richard C & Hollifield, Burton, 1992. "When Will Mean-Variance Efficient Portfolios Be Well Diversified?," Journal of Finance, American Finance Association, vol. 47(5), pages 1785-1809, December.
    3. Michael J. Best & Robert R. Grauer, 1991. "Sensitivity Analysis for Mean-Variance Portfolio Problems," Management Science, INFORMS, vol. 37(8), pages 980-989, August.
    4. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
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    Cited by:

    1. Gilles Boevi Koumou, 2020. "Diversification and portfolio theory: a review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(3), pages 267-312, September.

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