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Equity Portfolio Diversification: How Many Stocks are Enough? Evidence from Five Developed Markets

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Abstract

In this study of five developed markets we analyse the sizes of portfolios required for achieving most diversication benefits. Using daily data, we trace the year-to-year dynamic of these sizes between 1975 and 2011. We compute several widely-accepted measures of risk and use an extreme risk measure to account for black swan events. In addition to providing portfolio size recommendations for an average investor, we estimate confidence bands around central measures of risk and offer recommendations for attaining most diversification benefits 90 percent of the time instead of on average. We find that investors concerned with extreme risk can achieve diversification benefits with a relatively small number of stocks.

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  • Alexeev, Vitali & Tapon, Francis, 2013. "Equity Portfolio Diversification: How Many Stocks are Enough? Evidence from Five Developed Markets," Working Papers 2013-16, University of Tasmania, Tasmanian School of Business and Economics, revised 20 Nov 2013.
  • Handle: RePEc:tas:wpaper:17313
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    1. Ron Bird & Mark Tippett, 1986. "Note---Naive Diversification and Portfolio Risk---A Note," Management Science, INFORMS, vol. 32(2), pages 244-251, February.
    2. Ibragimov, Rustam & Walden, Johan, 2007. "The limits of diversification when losses may be large," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2551-2569, August.
    3. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Varieties of Crises and Their Dates," Introductory Chapters, in: This Time Is Different: Eight Centuries of Financial Folly, Princeton University Press.
    4. John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    5. Latane, Henry A & Young, William E, 1969. "Test of Portfolio Building Rules," Journal of Finance, American Finance Association, vol. 24(4), pages 595-612, September.
    6. John L. Evans & Stephen H. Archer, 1968. "Diversification And The Reduction Of Dispersion: An Empirical Analysis," Journal of Finance, American Finance Association, vol. 23(5), pages 761-767, December.
    7. Johnson, K. H. & Shannon, D. S., 1974. "A note on diversification and the reduction of dispersion," Journal of Financial Economics, Elsevier, vol. 1(4), pages 365-372, December.
    8. Simone Brands & David R. Gallagher, 2005. "Portfolio selection, diversification and fund‐of‐funds: a note," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 45(2), pages 185-197, July.
    9. Szego, Giorgio, 2005. "Measures of risk," European Journal of Operational Research, Elsevier, vol. 163(1), pages 5-19, May.
    10. Tang, Gordon Y. N., 2004. "How efficient is naive portfolio diversification? an educational note," Omega, Elsevier, vol. 32(2), pages 155-160, April.
    11. Ivković, Zoran & Sialm, Clemens & Weisbenner, Scott, 2008. "Portfolio Concentration and the Performance of Individual Investors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(3), pages 613-655, September.
    12. Bloomfield, Ted & Leftwich, Richard & Long, John Jr., 1977. "Portfolio strategies and performance," Journal of Financial Economics, Elsevier, vol. 5(2), pages 201-218, November.
    13. Beck, Kristine L & Perfect, Steven B & Peterson, Pamela P, 1996. "The Role of Alternative Methodology on the Relation between Portfolio Size and Diversification," The Financial Review, Eastern Finance Association, vol. 31(2), pages 381-406, May.
    14. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    15. Annaert, Jan & Osselaer, Sofieke Van & Verstraete, Bert, 2009. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 272-280, February.
    16. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
    17. Elton, Edwin J & Gruber, Martin J, 1977. "Risk Reduction and Portfolio Size: An Analytical Solution," The Journal of Business, University of Chicago Press, vol. 50(4), pages 415-437, October.
    18. Statman, Meir, 1987. "How Many Stocks Make a Diversified Portfolio?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 353-363, September.
    19. Jennings, Edward H., 1971. "An Empirical Analysis of Some Aspects of Common Stock Diversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(2), pages 797-813, March.
    20. Peter Byrne & Stephen Lee, 2000. "Risk reduction in the United Kingdom property market," Journal of Property Research, Taylor & Francis Journals, vol. 17(1), pages 23-46, January.
    21. Fisher, Lawrence & Lorie, James H, 1970. "Some Studies of Variability of Returns on Investments in Common Stocks," The Journal of Business, University of Chicago Press, vol. 43(2), pages 99-134, April.
    22. Ibragimov, Rustam & Walden, Johan, 2007. "The limits of diversification when losses may be large," Scholarly Articles 2624460, Harvard University Department of Economics.
    23. Hyung, Namwon & de Vries, Casper G., 2012. "Simulating and calibrating diversification against black swans," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1162-1175.
    24. Dale L. Domian & David A. Louton & Marie D. Racine, 2007. "Diversification in Portfolios of Individual Stocks: 100 Stocks Are Not Enough," The Financial Review, Eastern Finance Association, vol. 42(4), pages 557-570, November.
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    Cited by:

    1. Raju, Rajan & Agarwalla, Sobhesh Kumar, 2021. "Equity portfolio diversification: how many stocks are enough? Evidence from India," IIMA Working Papers WP 2021-02-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    2. Byström, Hans, 2021. "Credit Risk in a Pandemic," Working Papers 2021:1, Lund University, Department of Economics.
    3. Alexeev, Vitali & Tapon, Francis, 2014. "How many stocks are enough for diversifying Canadian institutional portfolios?," Working Papers 2014-08, University of Tasmania, Tasmanian School of Business and Economics, revised 2014.
    4. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, January.
    5. Alexeev, Vitali & Tapon, Francis, 2013. "What Australian investors need to know to diversity their portfolios," Working Papers 2013-17, University of Tasmania, Tasmanian School of Business and Economics, revised 20 Nov 2013.

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    More about this item

    Keywords

    Portfolio diversification; international investing; heavy tailed risk; expected shortfall; time series standard deviation; terminal wealth standard deviation;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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