IDEAS home Printed from https://ideas.repec.org/a/wsi/afexxx/v13y2018i01ns201049521850001x.html
   My bibliography  Save this article

Optimal Investment Strategy With Dividend Paying And Proportional Transaction Costs

Author

Listed:
  • CHARLES. I. NKEKI

    (Department of Mathematics, Faculty of Physical Sciences, University of Benin, P. M. B. 1154, Benin City, Edo State, Nigeria)

Abstract

A Markowitz’s mean-variance investment strategy is studied in a market with a stock, a bond, dividend payment and proportional transaction costs. Two control variables, portfolio strategy and dividend are considered in this paper. The control variables are inherent with a finite time horizon. This paper aims at minimizing the investment portfolio risk and maximizing the dividend process of the investment over time subject to portfolio allocation strategy, expected net wealth and investment costs over time. The method of Lagrangian multiplier was adopted. As a result, the optimal portfolio and optimal dividend payment are obtained. We found that the optimal portfolio process depends on the optimal dividend payment over time. Also, obtained in this paper, is the optimal portfolio with no dividend payment. We found that for the investment to achieve high target, more of the fund should be invested in stock and low dividend should be declared. The region of boundedness for stock purchase and stock sale are established. We found that for the investment to break-even, the quantum amount of stock sold must be greater than the quantum amount of stock purchase over time. The efficient frontier of the investment strategy was also obtained.

Suggested Citation

  • Charles. I. Nkeki, 2018. "Optimal Investment Strategy With Dividend Paying And Proportional Transaction Costs," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 1-17, March.
    • Handle: RePEc:wsi:afexxx:v:13:y:2018:i:01:n:s201049521850001x
    DOI: 10.1142/S201049521850001X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S201049521850001X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S201049521850001X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Harry Markowitz, 1956. "The optimization of a quadratic function subject to linear constraints," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 111-133, March.
    2. Majid Shakhsi-Niaei & Morteza Shiripour & Hamed Shakouri G. & Seyed Hossein Iranmanesh, 2015. "Application of genetic and differential evolution algorithms on selecting portfolios of projects with consideration of interactions and budgetary segmentation," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 22(1), pages 106-128.
    3. Charles I. Nkeki, 2018. "Optimal investment risks management strategies of an economy in a financial crisis," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-24, March.
    4. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    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. Charles I. Nkeki, 2018. "Optimal investment risks management strategies of an economy in a financial crisis," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-24, March.
    2. Qi, Yue & Liao, Kezhi & Liu, Tongyang & Zhang, Yu, 2022. "Originating multiple-objective portfolio selection by counter-COVID measures and analytically instigating robust optimization by mean-parameterized nondominated paths," Operations Research Perspectives, Elsevier, vol. 9(C).
    3. William Spelman, 2006. "Growth, Stability, and the Urban Portfolio," Economic Development Quarterly, , vol. 20(4), pages 299-316, November.
    4. Levy, Moshe & Ritov, Yaacov, 2001. "Portfolio Optimization with Many Assets: The Importance of Short-Selling," University of California at Los Angeles, Anderson Graduate School of Management qt41x4t67m, Anderson Graduate School of Management, UCLA.
    5. Wade Gunning & Gary van Vuuren, 2019. "Exploring the drivers of tracking error constrained portfolio performance," Cogent Economics & Finance, Taylor & Francis Journals, vol. 7(1), pages 1684181-168, January.
    6. L. Theron & G. van Vuuren, 2020. "Exploring the Behaviour of Actively Managed, Maximally Diversified Portfolios," Studies in Economics and Econometrics, Taylor & Francis Journals, vol. 44(2), pages 49-72, August.
    7. Diacogiannis, George & Ioannidis, Christos, 2022. "Linear beta pricing with efficient/inefficient benchmarks and short-selling restrictions," International Review of Financial Analysis, Elsevier, vol. 81(C).
    8. Yue Qi, 2022. "Classifying the minimum-variance surface of multiple-objective portfolio selection for capital asset pricing models," Annals of Operations Research, Springer, vol. 311(2), pages 1203-1227, April.
    9. Gordon J. Alexander & Alexandre M. Baptista, 2004. "A Comparison of VaR and CVaR Constraints on Portfolio Selection with the Mean-Variance Model," Management Science, INFORMS, vol. 50(9), pages 1261-1273, September.
    10. Muhinyuza, Stanislas & Bodnar, Taras & Lindholm, Mathias, 2020. "A test on the location of the tangency portfolio on the set of feasible portfolios," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    11. Shuzhen Yang, 2019. "A varying terminal time mean-variance model," Papers 1909.13102, arXiv.org, revised Jan 2020.
    12. Felix Fie{ss}inger & Mitja Stadje, 2024. "Mean-Variance Optimization for Participating Life Insurance Contracts," Papers 2407.11761, arXiv.org.
    13. Zied Ftiti & Aviral Tiwari & Amél Belanès & Khaled Guesmi, 2015. "Tests of Financial Market Contagion: Evolutionary Cospectral Analysis Versus Wavelet Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 46(4), pages 575-611, December.
    14. Chiu-Ming Hsiao, 2022. "Economic Growth, CO 2 Emissions Quota and Optimal Allocation under Uncertainty," Sustainability, MDPI, vol. 14(14), pages 1-26, July.
    15. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November.
    16. Min Dai & Zuo Quan Xu & Xun Yu Zhou, 2009. "Continuous-Time Markowitz's Model with Transaction Costs," Papers 0906.0678, arXiv.org.
    17. Wang, Zengwu & Xia, Jianming & Zhang, Lihong, 2007. "Optimal investment for an insurer: The martingale approach," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 322-334, March.
    18. Matus Medo & Chi Ho Yeung & Yi-Cheng Zhang, 2008. "How to quantify the influence of correlations on investment diversification," Papers 0805.3397, arXiv.org, revised Feb 2009.
    19. Fu, Chenpeng & Lari-Lavassani, Ali & Li, Xun, 2010. "Dynamic mean-variance portfolio selection with borrowing constraint," European Journal of Operational Research, Elsevier, vol. 200(1), pages 312-319, January.
    20. Peter Simmons & Yuanyuan Xie, 2013. "Financial Markets Around the Great Recession: East Meets West," Discussion Papers 13/29, Department of Economics, University of York.

    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:wsi:afexxx:v:13:y:2018:i:01:n:s201049521850001x. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/afe/afe.shtml .

    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.