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

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  • 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
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    References listed on IDEAS

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    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.
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    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).

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    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

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