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The number of stocks in your portfolio should be larger than you think: diversification evidence from five developed markets

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In this study of five developed markets, we analyze the sizes of portfolios required to achieve the most diversification benefits. 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 the most diversification benefits 90% of the time, instead of on average. In contrast to previous literature that suggests between 10 and 15 stocks are enough to provide adequate diversification for an average investor, we find that in fact more than 73 stocks are needed to achieve the same level of diversification most of the time, instead of on average.

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  • Vitali Alexeev & Francis Tapon, 2014. "The number of stocks in your portfolio should be larger than you think: diversification evidence from five developed markets," Published Paper Series 2014-4, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    • Handle: RePEc:uts:ppaper:2014-4
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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. 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.
    3. Fama, Eugene F., 1998. "Market efficiency, long-term returns, and behavioral finance," Journal of Financial Economics, Elsevier, vol. 49(3), pages 283-306, September.
    4. 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.
    5. 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.
    6. Szego, Giorgio, 2005. "Measures of risk," European Journal of Operational Research, Elsevier, vol. 163(1), pages 5-19, May.
    7. Carmen M. Reinhart & Kenneth S. Rogoff, 2014. "This Time is Different: A Panoramic View of Eight Centuries of Financial Crises," Annals of Economics and Finance, Society for AEF, vol. 15(2), pages 215-268, November.
    8. 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.
    9. Bloomfield, Ted & Leftwich, Richard & Long, John Jr., 1977. "Portfolio strategies and performance," Journal of Financial Economics, Elsevier, vol. 5(2), pages 201-218, November.
    10. William N. Goetzmann & Alok Kumar, 2008. "Equity Portfolio Diversification," Review of Finance, European Finance Association, vol. 12(3), pages 433-463.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Namwon Hyung & Casper G. de Vries, 2005. "Portfolio Diversification Effects of Downside Risk," Tinbergen Institute Discussion Papers 05-008/2, Tinbergen Institute.
    17. 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.
    18. 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.
    19. Klemkosky, Robert C & Martin, John D, 1975. "The Effect of Market Risk on Portfolio Diversification," Journal of Finance, American Finance Association, vol. 30(1), pages 147-154, March.
    20. 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.
    21. 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.
    22. 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.
    23. Wassim Dbouk & Lawrence Kryzanowski, 2009. "Diversification benefits for bond portfolios," The European Journal of Finance, Taylor & Francis Journals, vol. 15(5-6), pages 533-553.
    24. 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.
    25. 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.
    26. Tang, Gordon Y. N., 2004. "How efficient is naive portfolio diversification? an educational note," Omega, Elsevier, vol. 32(2), pages 155-160, April.
    27. Namwon Hyung, 2005. "Portfolio Diversification Effects of Downside Risk," Journal of Financial Econometrics, Oxford University Press, vol. 3(1), pages 107-125.
    28. 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.
    29. 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.
    30. Ibragimov, Rustam & Walden, Johan, 2007. "The limits of diversification when losses may be large," Scholarly Articles 2624460, Harvard University Department of Economics.
    31. 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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