IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1903.01082.html
   My bibliography  Save this paper

Exact Solution for the Portfolio Diversification Problem Based on Maximizing the Risk Adjusted Return

Author

Listed:
  • Abdulnasser Hatemi-J
  • Mohamed Ali Hajji
  • Youssef El-Khatib

Abstract

The potential benefits of portfolio diversification have been known to investors for a long time. Markowitz (1952) suggested the seminal approach for optimizing the portfolio problem based on finding the weights as budget shares that minimize the variance of the underlying portfolio. Hatemi-J and El-Khatib (2015) suggested finding the weights that will result in maximizing the risk adjusted return of the portfolio. This approach seems to be preferred by the rational investors since it combines risk and return when the optimal budget shares are sought for. The current paper provides a general solution for this risk adjusted return problem that can be utilized for any potential number of assets that are included in the portfolio.

Suggested Citation

  • Abdulnasser Hatemi-J & Mohamed Ali Hajji & Youssef El-Khatib, 2019. "Exact Solution for the Portfolio Diversification Problem Based on Maximizing the Risk Adjusted Return," Papers 1903.01082, arXiv.org.
    • Handle: RePEc:arx:papers:1903.01082
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1903.01082
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jorion, Philippe, 1985. "International Portfolio Diversification with Estimation Risk," The Journal of Business, University of Chicago Press, vol. 58(3), pages 259-278, July.
    2. De Santis, Giorgio & Gerard, Bruno, 1997. "International Asset Pricing and Portfolio Diversification with Time-Varying Risk," Journal of Finance, American Finance Association, vol. 52(5), pages 1881-1912, December.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    4. Hatemi-J, Abdulnasser & El-Khatib, Youssef, 2015. "Portfolio selection: An alternative approach," Economics Letters, Elsevier, vol. 135(C), pages 141-143.
    5. Anil Bera & Sung Park, 2008. "Optimal Portfolio Diversification Using the Maximum Entropy Principle," Econometric Reviews, Taylor & Francis Journals, vol. 27(4-6), pages 484-512.
    6. Hatemi-J, Abdulnasser & Roca, Eduardo, 2006. "A re-examination of international portfolio diversification based on evidence from leveraged bootstrap methods," Economic Modelling, Elsevier, vol. 23(6), pages 993-1007, December.
    7. Klein, Roger W. & Bawa, Vijay S., 1977. "Abstract: The Effect of Limited Information and Estimation Risk on Optimal Portfolio Diversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 669-669, November.
    8. Klein, Roger W. & Bawa, Vijay S., 1977. "The effect of limited information and estimation risk on optimal portfolio diversification," Journal of Financial Economics, Elsevier, vol. 5(1), pages 89-111, August.
    9. Aase, Knut Kristian, 1984. "Optimum portfolio diversification in a general continuous-time model," Stochastic Processes and their Applications, Elsevier, vol. 18(1), pages 81-98, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hatemi-J, Abdulnasser & Taha, Viyan, 2021. "Portfolio Diversification Benefits between Financial Markets of the US and China: Empirical Evidence from two Alternative Methods," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 74(4), pages 537-546.
    2. Abdulnasser Hatemi-J & Mohamed A. Hajji & Elie Bouri & Rangan Gupta, 2022. "The Benefits of Diversification Between Bitcoin, Bonds, Equities and the US Dollar: A Matter of Portfolio Construction," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(04), pages 1-11, August.
    3. Abdulnasser Hatemi-J & Alan Mustafa, 2023. "A Simulation Package in VBA to Support Finance Students for Constructing Optimal Portfolios," Papers 2305.12826, arXiv.org.
    4. Zhang, Cheng & Gong, Xiaomin & Zhang, Jingshu & Chen, Zhiwei, 2023. "Dynamic portfolio allocation for financial markets: A perspective of competitive-cum-compensatory strategy," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 84(C).

    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. Hatemi-J, Abdulnasser & Taha, Viyan, 2021. "Portfolio Diversification Benefits between Financial Markets of the US and China: Empirical Evidence from two Alternative Methods," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 74(4), pages 537-546.
    2. Hatemi-J, Abdulnasser & El-Khatib, Youssef, 2015. "Portfolio selection: An alternative approach," Economics Letters, Elsevier, vol. 135(C), pages 141-143.
    3. Sergio H. Lence & Dermot J. Hayes, 1994. "The Empirical Minimum-Variance Hedge," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(1), pages 94-104.
    4. Frankfurter, George M. & Phillips, Herbert E., 1996. "Normative implications of equilibrium models: Homogeneous expectations and other artificialities," Journal of Economic Behavior & Organization, Elsevier, vol. 31(1), pages 67-83, October.
    5. Thomas, Nisha Mary & Kashiramka, Smita & Yadav, Surendra Singh & Paul, Justin, 2022. "Role of emerging markets vis-à-vis frontier markets in improving portfolio diversification benefits," International Review of Economics & Finance, Elsevier, vol. 78(C), pages 95-121.
    6. George M. Frankfurter & Christopher G. Lamoureux, 1989. "Estimation And Selection Bias In Mean-Variance Portfolio Selection," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 12(2), pages 173-181, June.
    7. Celso Brunetti & Jeffrey H. Harris & Shawn Mankad, 2018. "Bank Holdings and Systemic Risk," Finance and Economics Discussion Series 2018-063, Board of Governors of the Federal Reserve System (U.S.).
    8. Thorsten Poddig & Albina Unger, 2012. "On the robustness of risk-based asset allocations," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(3), pages 369-401, September.
    9. Mounira Chniguir & Mohamed Karim Kefi & Jamel Eddine Henchiri, 2017. "The Determinants of Home Bias in Stock Portfolio: An Emerging and Developed Markets Study," International Journal of Economics and Financial Issues, Econjournals, vol. 7(6), pages 182-191.
    10. Andrew F. Siegel & Artemiza Woodgate, 2007. "Performance of Portfolios Optimized with Estimation Error," Management Science, INFORMS, vol. 53(6), pages 1005-1015, June.
    11. Migliavacca, Milena & Goodell, John W. & Paltrinieri, Andrea, 2023. "A bibliometric review of portfolio diversification literature," International Review of Financial Analysis, Elsevier, vol. 90(C).
    12. David E. Allen & Michael McAleer & Abhay K. Singh, 2016. "A Multi-Criteria Portfolio Analysis of Hedge Fund Strategies," Documentos de Trabajo del ICAE 2017-03, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    13. Jacobs, Heiko & Müller, Sebastian & Weber, Martin, 2014. "How should individual investors diversify? An empirical evaluation of alternative asset allocation policies," Journal of Financial Markets, Elsevier, vol. 19(C), pages 62-85.
    14. Pelizzon, Loriana & Weber, Guglielmo, 2009. "Efficient portfolios when housing needs change over the life cycle," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2110-2121, November.
    15. Liu, Weiyi, 2019. "Portfolio diversification across cryptocurrencies," Finance Research Letters, Elsevier, vol. 29(C), pages 200-205.
    16. Kang, Yan-li & Tian, Jing-Song & Chen, Chen & Zhao, Gui-Yu & Li, Yuan-fu & Wei, Yu, 2021. "Entropy based robust portfolio," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    17. David E. Allen & Michael McAleer & Robert J. Powell & Abhay K. Singh, 2015. "Down-side Risk Metrics as Portfolio Diversification Strategies across the GFC," Documentos de Trabajo del ICAE 2015-19, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    18. In, Francis & Kim, Sangbae & Gençay, Ramazan, 2011. "Investment horizon effect on asset allocation between value and growth strategies," Economic Modelling, Elsevier, vol. 28(4), pages 1489-1497, July.
    19. Fogarty, James Joseph & Sadler, Rohan, 2012. "To Save or Savour: A Review of Wine Investment," Working Papers 139663, University of Western Australia, School of Agricultural and Resource Economics.
    20. Mainik, Georg & Mitov, Georgi & Rüschendorf, Ludger, 2015. "Portfolio optimization for heavy-tailed assets: Extreme Risk Index vs. Markowitz," Journal of Empirical Finance, Elsevier, vol. 32(C), pages 115-134.

    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1903.01082. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.