IDEAS home Printed from https://ideas.repec.org/a/cup/jfinqa/v22y1987i03p353-363_01.html
   My bibliography  Save this article

How Many Stocks Make a Diversified Portfolio?

Author

Listed:
  • Statman, Meir

Abstract

We show that a well-diversified portfolio of randomly chosen stocks must include at least 30 stocks for a borrowing investor and 40 stocks for a lending investor. This contradicts the widely accepted notion that the benefits of diversification are virtually exhausted when a portfolio contains approximately 10 stocks. We also contrast our result with the levels of diversification found in studies of individuals' portfolios.

Suggested Citation

  • 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.
  • Handle: RePEc:cup:jfinqa:v:22:y:1987:i:03:p:353-363_01
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0022109000012680/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schlarbaum, Gary G & Lewellen, Wilbur G & Lease, Ronald C, 1978. "Realized Returns on Common Stock Investments: The Experience of Individual Investors," The Journal of Business, University of Chicago Press, vol. 51(2), pages 299-325, April.
    2. Ron Bird & Mark Tippett, 1986. "Note---Naive Diversification and Portfolio Risk---A Note," Management Science, INFORMS, vol. 32(2), pages 244-251, February.
    3. 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.
    4. Conine, Thomas E, Jr & Tamarkin, Maurry, J, 1981. "On Diversification Given Asymmetry in Returns," Journal of Finance, American Finance Association, vol. 36(5), pages 1143-1155, December.
    5. Mayshar, Joram, 1979. "Transaction Costs in a Model of Capital Market Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 673-700, August.
    6. 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.
    7. Blume, Marshall E & Friend, Irwin, 1975. "The Asset Structure of Individual Portfolios and Some Implications for Utility Functions," Journal of Finance, American Finance Association, vol. 30(2), pages 585-603, May.
    8. Jacob, Nancy L, 1974. "A Limited-Diversification Portfolio Selection Model for the Small Investor," Journal of Finance, American Finance Association, vol. 29(3), pages 847-856, June.
    9. Mervyn A. King & Jonathan I. Leape, 1984. "Wealth and Portfolio Composition: Theory and Evidence," NBER Working Papers 1468, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Grout, Paul A, 1987. "Wider Share Ownership and Economic Performance," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 3(4), pages 13-29, Winter.
    2. Tasca, Paolo & Mavrodiev, Pavlin & Schweitzer, Frank, 2014. "Quantifying the impact of leveraging and diversification on systemic risk," Journal of Financial Stability, Elsevier, vol. 15(C), pages 43-52.
    3. Gilles Boevi Koumou, 2016. "Risk reduction and Diversification within Markowitz's Mean-Variance Model: Theoretical Revisit," Papers 1608.05024, arXiv.org, revised Aug 2016.
    4. Paolo Tasca & Stefano Battiston, "undated". "Diversification and Financial Stability," Working Papers CCSS-11-001, ETH Zurich, Chair of Systems Design.
    5. Chia, Rui Ming Daryl & Lim, Kai Jie Shawn, 2012. "The Attenuation of Idiosyncratic Risk under Alternative Portfolio Weighting Strategies: Recent Evidence from the UK Equity Market," MPRA Paper 41455, University Library of Munich, Germany.
    6. Frahm, Gabriel & Wiechers, Christof, 2011. "On the diversification of portfolios of risky assets," Discussion Papers in Econometrics and Statistics 2/11, University of Cologne, Institute of Econometrics and Statistics.
    7. Tasca, Paolo & Battiston, Stefano & Deghi, Andrea, 2017. "Portfolio diversification and systemic risk in interbank networks," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 96-124.
    8. Cabrini, Silvina M. & Stark, Brian G. & Irwin, Scott H. & Good, Darrel L. & Martines-Filho, Joao, 2005. "Portfolios of Agricultural Market Advisory Services: How Much Diversification Is Enough?," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 37(1), pages 101-114, April.
    9. Vitali Alexeev & Mardi Dungey, 2015. "Equity portfolio diversification with high frequency data," Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1205-1215, July.
    10. Oehler, Andreas & Wanger, Hans Philipp, 2020. "Household portfolio optimization with XTFs? An empirical study using the SHS-base," Research in International Business and Finance, Elsevier, vol. 51(C).
    11. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    12. 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.
    13. K. C. Chen & R. Stephen Sears, 1984. "How Many Small Firms Are Enough?," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 7(4), pages 341-349, December.
    14. Groh, Alexander P., 2004. "Risikoadjustierte Performance von Private Equity-Investitionen," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 21382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    15. Sirapat Polwitoon & Oranee Tawatnuntachai, 2013. "In Search of Optimal Number of Bond Funds," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 3(1), pages 1-5.
    16. 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.
    17. 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.
    18. Haensly, Paul J., 2020. "Risk decomposition, estimation error, and naïve diversification," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    19. Kumar, Alok, 2007. "Do the diversification choices of individual investors influence stock returns?," Journal of Financial Markets, Elsevier, vol. 10(4), pages 362-390, November.
    20. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cup:jfinqa:v:22:y:1987:i:03:p:353-363_01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/jfq .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.