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Sustainable Portfolio Optimization with Higher-Order Moments of Risk

Author

Listed:
  • Kanwal Iqbal Khan

    (Institute of Business & Management, University of Engineering and Technology, Lahore 54000, Pakistan)

  • Syed M. Waqar Azeem Naqvi

    (School of Continuing Studies, McGill University, Montreal, QC H3A3R1, Canada)

  • Muhammad Mudassar Ghafoor

    (Director, University of the Punjab, Jhelum 49600, Pakistan)

  • Rana Shahid Imdad Akash

    (School of Business Management, NFC-IEFR, Faisalabad 38000, Pakistan)

Abstract

Sustainable economic growth and development of stock market plays an important role in diversifying the investment opportunities that can be assessed accordingly. However, a true diversification in portfolio is impossible without inclusion of higher-order moments, skewness and kurtosis. However, the risk-taking behavior of investors is modelled with the help of higher-order moments of risk. Therefore, this study is intended to construct optimal portfolios and efficient frontiers with the inclusion of higher-order moments of risk. The findings show that optimized portfolios with inclusion of skewness and kurtosis are sustainable and significantly different than those from mean-variance optimized portfolios which show asymmetric and fat-tail risk. Results further confirm its significance in balancing the additional risk dimensions and returns in Asian emerging stock markets for sustainable returns. The results also endorse that induction of skewness and kurtosis affects portfolio allocation weights and expected returns. Therefore, this study strongly recommends the inclusion of higher moments of risk for optimization to curtail their effect and sub-optimal decisions.

Suggested Citation

  • Kanwal Iqbal Khan & Syed M. Waqar Azeem Naqvi & Muhammad Mudassar Ghafoor & Rana Shahid Imdad Akash, 2020. "Sustainable Portfolio Optimization with Higher-Order Moments of Risk," Sustainability, MDPI, vol. 12(5), pages 1-14, March.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:5:p:2006-:d:328913
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    References listed on IDEAS

    as
    1. Abhay Kumar Singh & Rajendra Sahu & Shalini Bharadwaj, 2010. "Portfolio evaluation using OWA-heuristic algorithm and data envelopment analysis," Journal of Risk Finance, Emerald Group Publishing, vol. 11(1), pages 75-88, January.
    2. Tseng, Jie-Jun & Li, Sai-Ping, 2012. "Quantifying volatility clustering in financial time series," International Review of Financial Analysis, Elsevier, vol. 23(C), pages 11-19.
    3. Bernardi, Mauro & Catania, Leopoldo, 2018. "Portfolio optimisation under flexible dynamic dependence modelling," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 1-18.
    4. William F. Sharpe, 1963. "A Simplified Model for Portfolio Analysis," Management Science, INFORMS, vol. 9(2), pages 277-293, January.
    5. Raj Aggarwal & Ramesh P. Rao & Takato Hiraki, 1989. "Skewness And Kurtosis In Japanese Equity Returns: Empirical Evidence," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 12(3), pages 253-260, September.
    6. John Lintner, 1965. "Security Prices, Risk, And Maximal Gains From Diversification," Journal of Finance, American Finance Association, vol. 20(4), pages 587-615, December.
    7. Beedles, William L., 1979. "On the Asymmetry of Market Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(3), pages 653-660, September.
    8. Wing-Keung Wong & Hooi Hoi Lean & Michael McAleer & Feng-Tse Tsai, 2018. "Why did Warrant Markets Close in China but not Taiwan?," Tinbergen Institute Discussion Papers 18-051/III, Tinbergen Institute.
    9. Khan, Muhammad Salman & Khan, Kanwal Iqbal & Mahmood, Shahid & Sheeraz, Muhammad, 2019. "Symmetric and Asymmetric Volatility Clustering Via GARCH Family Models: An Evidence from Religion Dominant Countries," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 13(1), pages 20-25.
    10. Trino-Manuel Ñíguez & Ivan Paya & David Peel & Javier Perote, 2019. "Flexible distribution functions, higher-order preferences and optimal portfolio allocation," Quantitative Finance, Taylor & Francis Journals, vol. 19(4), pages 699-703, April.
    11. Ana B. Ruiz & Rubén Saborido & José D. Bermúdez & Mariano Luque & Enriqueta Vercher, 2020. "Preference-based evolutionary multi-objective optimization for portfolio selection: a new credibilistic model under investor preferences," Journal of Global Optimization, Springer, vol. 76(2), pages 295-315, February.
    12. Gökgöz, Fazıl & Atmaca, Mete Emin, 2017. "Portfolio optimization under lower partial moments in emerging electricity markets: Evidence from Turkey," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 437-449.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    14. Burcu ARACIOGLU & Fatma DEMIRCAN & Harun UCAK, 2011. "Mean–Variance–Skewness–Kurtosis Approach to Portfolio Optimization: An Application in Istanbul Stock Exchange," Ege Academic Review, Ege University Faculty of Economics and Administrative Sciences, vol. 11(Special I), pages 9-17.
    15. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    16. de Moraes Dutenkefer, Raphael & de Oliveira Ribeiro, Celma & Morgado Mutran, Victoria & Eduardo Rego, Erik, 2018. "The insertion of biogas in the sugarcane mill product portfolio: A study using the robust optimization approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 729-740.
    17. Massimo Guidolin & Allan Timmermann, 2008. "International asset allocation under regime switching, skew, and kurtosis preferences," The Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 889-935, April.
    18. Oikonomou, Ioannis & Platanakis, Emmanouil & Sutcliffe, Charles, 2018. "Socially responsible investment portfolios: Does the optimization process matter?," The British Accounting Review, Elsevier, vol. 50(4), pages 379-401.
    19. Francisco Barillas & Jay Shanken, 2018. "Comparing Asset Pricing Models," Journal of Finance, American Finance Association, vol. 73(2), pages 715-754, April.
    20. Yusuf Jaffar & Ginanjar Dewandaru & Mansur Masih, 2018. "Exploring Portfolio Diversification Opportunities Through Venture Capital Financing: Evidence from MGARCH-DCC, Markov Switching, and Wavelet Approaches," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 54(6), pages 1320-1336, May.
    21. Pérez Odeh, Rodrigo & Watts, David & Flores, Yarela, 2018. "Planning in a changing environment: Applications of portfolio optimisation to deal with risk in the electricity sector," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3808-3823.
    22. Mauro Bernardi & Leopoldo Catania, 2016. "Portfolio Optimisation Under Flexible Dynamic Dependence Modelling," Papers 1601.05199, arXiv.org.
    23. Abdelaziz, Fouad Ben & Aouni, Belaid & Fayedh, Rimeh El, 2007. "Multi-objective stochastic programming for portfolio selection," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1811-1823, March.
    24. Yuanyuan Zhang & Xiang Li & Sini Guo, 2018. "Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 125-158, June.
    25. Reinhold Hafner & Martin Wallmeier, 2008. "Optimal investments in volatility," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 22(2), pages 147-167, June.
    26. Wing-Keung Wong & Hooi Hooi Lean & Michael McAleer & Feng-Tse Tsai, 2018. "Why Are Warrant Markets Sustained in Taiwan but Not in China?," Sustainability, MDPI, vol. 10(10), pages 1-17, October.
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