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Investment diversification and investment specialization and the assumed holding period

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  • Haim Levy

Abstract

Optimum mean-variance (M-V) investment diversification strategies are analysed as a function of alternative investment horizons. For almost all possible one-period correlations across assets, it is found that as the investment horizon increases, the correlations approach zero and the M-V investor tends to specialize in one asset-the one with the lowest value Ai when, Ai ***, which implies in most cases specialization in the lowest mean asset. The lowest mean asset dominates because the multiperiod variance increases faster for assets with high mean returns and because of the possibility of borrowing and lending at the risk-free interest rate. This strategy is contrary to professional investment advice, which generally asserts that, for longer investment horizons, the investor can achieve diversification across time by investing primarily in equities which are characterized by relatively higher mean returns. Similar results hold when the M-V rule is relaxed and the investor maximizes expected utility (myopic) when portfolio revisions are allowed.

Suggested Citation

  • Haim Levy, 1996. "Investment diversification and investment specialization and the assumed holding period," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(2), pages 117-134.
    • Handle: RePEc:taf:apmtfi:v:3:y:1996:i:2:p:117-134
    DOI: 10.1080/13504869600000006
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    References listed on IDEAS

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    1. Merton, Robert C. & Samuelson, Paul A., 1974. "Fallacy of the log-normal approximation to optimal portfolio decision-making over many periods," Journal of Financial Economics, Elsevier, vol. 1(1), pages 67-94, May.
    2. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    3. Levy, Haim, 1973. "Stochastic Dominance Among Log-Normal Prospects," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 601-614, October.
    4. Haim Levy, 1972. "Portfolio Performance and the Investment Horizon," Management Science, INFORMS, vol. 18(12), pages 645-653, August.
    5. Hakansson, Nils H., 1971. "Capital Growth and the Mean-Variance Approach to Portfolio Selection," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(1), pages 517-557, January.
    6. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    7. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    8. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    9. Levy, Haim, 1973. "The Demand for Assets Under Conditions of Risk," Journal of Finance, American Finance Association, vol. 28(1), pages 79-96, March.
    10. Markowitz, Harry M, 1991. "Foundations of Portfolio Theory," Journal of Finance, American Finance Association, vol. 46(2), pages 469-477, June.
    11. Meir I. Schneller, 1975. "Regression Analysis for Multiplicative Phenomena and its Implication for the Measurement of Investment Risk," Management Science, INFORMS, vol. 22(4), pages 422-426, December.
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    Cited by:

    1. Levy, Haim & Schwarz, Gideon, 1997. "Correlation and the time interval over which the variables are measured," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 341-350.
    2. Haim Levy & Ilan Guttman & Isabel Tkatch, 2001. "Regression, Correlation, and the Time Interval: Additive-Multiplicative Framework," Management Science, INFORMS, vol. 47(8), pages 1150-1159, August.
    3. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    4. Manuel Tarrazo, 2022. "Roy’s (1952) Revisited in Today’s Investing Contexts," Accounting and Finance Research, Sciedu Press, vol. 11(3), pages 1-14, August.

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