IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v563y2021ics0378437120307524.html
   My bibliography  Save this article

Gainers and losers with higher order portfolio risk optimization

Author

Listed:
  • Ashfaq, Saira
  • Ayub, Usman
  • Mujtaba, Ghulam
  • Raza, Naveed
  • Gulzar, Saqib

Abstract

There is a large body of knowledge concerning the cointegration of international stock markets. In light of such a concept, this study attempts to provide an answer to the international portfolio optimization problem. It is likely that investors’ preferences for mean, variance, skewness and kurtosis may vary over time. One investor may choose to give more weight to profits, while another may choose variance or skewness over return. To achieve multi-objective optimization, the study uses the polynomial goal programming (PGP) model. It is the first study of its kind to consider the closing stock indices of BRICS (Brazil, Russia, India, China and South Africa) economies from January 2010 to December 2016, by assigning various weights to individual BRICS countries under an alternative MVSK (mean, variance, skewness, kurtosis) framework. It notes that two cornerstones of BRICS (India and China) show an investment pattern such that when potential investors approach India as a favourable country to invest in stocks, Chinese portfolio returns move the other way, and vice versa.

Suggested Citation

  • Ashfaq, Saira & Ayub, Usman & Mujtaba, Ghulam & Raza, Naveed & Gulzar, Saqib, 2021. "Gainers and losers with higher order portfolio risk optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
  • Handle: RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307524
    DOI: 10.1016/j.physa.2020.125416
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120307524
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2020.125416?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. Lu, Jingen & Chen, Xiaohong & Liu, Xiaoxing, 2018. "Stock market information flow: Explanations from market status and information-related behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 837-848.
    2. Chuang, I-Yuan & Lu, Jin-Ray & Tswei, Keshin, 2007. "Interdependence of international equity variances: Evidence from East Asian markets," Emerging Markets Review, Elsevier, vol. 8(4), pages 311-327, December.
    3. Yao, Shujie & He, Hongbo & Chen, Shou & Ou, Jinghua, 2018. "Financial liberalization and cross-border market integration: Evidence from China's stock market," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 220-245.
    4. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    5. Ren, Fei & Ji, Shen-Dan & Cai, Mei-Ling & Li, Sai-Ping & Jiang, Xiong-Fei, 2019. "Dynamic lead–lag relationship between stock indices and their derivatives: A comparative study between Chinese mainland, Hong Kong and US stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 709-723.
    6. Chevallier, Julien & Nguyen, Duc Khuong & Siverskog, Jonathan & Uddin, Gazi Salah, 2018. "Market integration and financial linkages among stock markets in Pacific Basin countries," Journal of Empirical Finance, Elsevier, vol. 46(C), pages 77-92.
    7. Bergin, Paul R. & Pyun, Ju Hyun, 2016. "International portfolio diversification and multilateral effects of correlations," Journal of International Money and Finance, Elsevier, vol. 62(C), pages 52-71.
    8. Narayan, S. & Le, T.-H. & Sriananthakumar, S., 2018. "The influence of terrorism risk on stock market integration: Evidence from eight OECD countries," International Review of Financial Analysis, Elsevier, vol. 58(C), pages 247-259.
    9. Das, Debojyoti & Bhowmik, Puja & Jana, R.K., 2018. "A multiscale analysis of stock return co-movements and spillovers: Evidence from Pacific developed markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 379-393.
    10. Rizvi, Syed Aun R. & Arshad, Shaista, 2017. "Analysis of the efficiency–integration nexus of Japanese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 296-308.
    11. Ali, Sajid & Shahzad, Syed Jawad Hussain & Raza, Naveed & Al-Yahyaee, Khamis Hamed, 2018. "Stock market efficiency: A comparative analysis of Islamic and conventional stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 139-153.
    12. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    13. Bentes, Sónia R., 2015. "On the integration of financial markets: How strong is the evidence from five international stock markets?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 205-214.
    14. Chen, Peng, 2018. "Understanding international stock market comovements: A comparison of developed and emerging markets," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 451-464.
    15. Kanokwan Chancharoenchai & Sel Dibooglu, 2006. "Volatility Spillovers and Contagion During the Asian Crisis: Evidence from Six Southeast Asian Stock Markets," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 42(2), pages 4-17, April.
    16. Mensi, Walid & Hammoudeh, Shawkat & Kang, Sang Hoon, 2017. "Dynamic linkages between developed and BRICS stock markets: Portfolio risk analysis," Finance Research Letters, Elsevier, vol. 21(C), pages 26-33.
    17. Zinoviy Landsman & Udi Makov & Tomer Shushi, 2020. "Analytic solution to the portfolio optimization problem in a mean-variance-skewness model," The European Journal of Finance, Taylor & Francis Journals, vol. 26(2-3), pages 165-178, February.
    18. Todea, Alexandru, 2016. "Cross-correlations between volatility, volatility persistence and stock market integration: the case of emergent stock markets," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 208-215.
    19. Bouri, Elie & Gupta, Rangan & Hosseini, Seyedmehdi & Lau, Chi Keung Marco, 2018. "Does global fear predict fear in BRICS stock markets? Evidence from a Bayesian Graphical Structural VAR model," Emerging Markets Review, Elsevier, vol. 34(C), pages 124-142.
    20. Edwards, Sebastian & Susmel, Raul, 2001. "Volatility dependence and contagion in emerging equity markets," Journal of Development Economics, Elsevier, vol. 66(2), pages 505-532, December.
    21. Bhuyan, Rafiqul & Robbani, Mohammad G. & Talukdar, Bakhtear & Jain, Ajeet, 2016. "Information transmission and dynamics of stock price movements: An empirical analysis of BRICS and US stock markets," International Review of Economics & Finance, Elsevier, vol. 46(C), pages 180-195.
    22. Kumar Tiwari, Aviral & Billah Dar, Arif & Bhanja, Niyati & Shah, Aasif, 2013. "Stock Market Integration in Asian Countries: evidence from Wavelet multiple correlations," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 28, pages 441-456.
    23. Yanan Li & David E. Giles, 2015. "Modelling Volatility Spillover Effects Between Developed Stock Markets and Asian Emerging Stock Markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 20(2), pages 155-177, March.
    24. Samargandi, Nahla & Kutan, Ali M. & Sohag, Kazi & Alqahtani, Faisal, 2020. "Equity market and money supply spillovers and economic growth in BRICS economies: A global vector autoregressive approach," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    25. Rajneesh Prakash Verma & Poonam Rani, 2016. "Emerging Stock Market Integration in the Post Financial Crises Era: An Empirical Analysis of the Short-term and Long-term Linkages," Emerging Economy Studies, International Management Institute, vol. 2(1), pages 91-109, May.
    26. Campbell Harvey & John Liechty & Merrill Liechty & Peter Muller, 2010. "Portfolio selection with higher moments," Quantitative Finance, Taylor & Francis Journals, vol. 10(5), pages 469-485.
    27. Li, Hong & Majerowska, Ewa, 2008. "Testing stock market linkages for Poland and Hungary: A multivariate GARCH approach," Research in International Business and Finance, Elsevier, vol. 22(3), pages 247-266, September.
    28. Al Nasser, Omar M. & Hajilee, Massomeh, 2016. "Integration of emerging stock markets with global stock markets," Research in International Business and Finance, Elsevier, vol. 36(C), pages 1-12.
    29. Harry M. Markowitz, 2010. "Portfolio Theory: As I Still See It," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 1-23, December.
    30. Tse, Yiuman & Wu, Chunchi & Young, Allan, 2003. "Asymmetric information transmission between a transition economy and the U.S. market: evidence from the Warsaw Stock Exchange," Global Finance Journal, Elsevier, vol. 14(3), pages 319-332, December.
    31. Frijns, Bart & Tourani-Rad, Alireza & Indriawan, Ivan, 2012. "Political crises and the stock market integration of emerging markets," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 644-653.
    32. McIver, Ron P. & Kang, Sang Hoon, 2020. "Financial crises and the dynamics of the spillovers between the U.S. and BRICS stock markets," Research in International Business and Finance, Elsevier, vol. 54(C).
    33. Chen, Mei-Ping & Chen, Pei-Fen & Lee, Chien-Chiang, 2014. "Frontier stock market integration and the global financial crisis," The North American Journal of Economics and Finance, Elsevier, vol. 29(C), pages 84-103.
    34. Mensi, Walid & Hammoudeh, Shawkat & Nguyen, Duc Khuong & Kang, Sang Hoon, 2016. "Global financial crisis and spillover effects among the U.S. and BRICS stock markets," International Review of Economics & Finance, Elsevier, vol. 42(C), pages 257-276.
    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. Lukanima, Benedicto Kulwizira & Sanchez-Barrios, Luis Javier & Gómez-Bravo, Yuli Paola, 2024. "Towards understanding MILA stock markets integration beyond MILA: New evidence between the pre-Global financial crisis and the COVID19 periods," International Review of Economics & Finance, Elsevier, vol. 89(PA), pages 478-497.
    2. Muhammad Hanif & Ariba Sabah, 2020. "Stock Markets’ Integration in Post Financial Crisis Era: Evidence from Literature," Capital Markets Review, Malaysian Finance Association, vol. 28(2), pages 43-71.
    3. Imran Yousaf & Shoaib Ali & Wing-Keung Wong, 2020. "Return and Volatility Transmission between World-Leading and Latin American Stock Markets: Portfolio Implications," JRFM, MDPI, vol. 13(7), pages 1-19, July.
    4. Ahmad, Wasim & Mishra, Anil V. & Daly, Kevin, 2018. "Heterogeneous dependence and dynamic hedging between sectors of BRIC and global markets," International Review of Financial Analysis, Elsevier, vol. 59(C), pages 117-133.
    5. Muhammad Niaz Khan & Suzanne G. M. Fifield & Nongnuch Tantisantiwong & David M. Power, 2022. "Changes in co-movement and risk transmission between South Asian stock markets amidst the development of regional co-operation," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 36(1), pages 87-117, March.
    6. Lassance, Nathan & Vrins, Frédéric, 2021. "Portfolio selection with parsimonious higher comoments estimation," Journal of Banking & Finance, Elsevier, vol. 126(C).
    7. Bernardi, Mauro & Catania, Leopoldo, 2018. "Portfolio optimisation under flexible dynamic dependence modelling," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 1-18.
    8. Khaki, Audil & Prasad, Mason & Al-Mohamad, Somar & Bakry, Walid & Vo, Xuan Vinh, 2023. "Re-evaluating portfolio diversification and design using cryptocurrencies: Are decentralized cryptocurrencies enough?," Research in International Business and Finance, Elsevier, vol. 64(C).
    9. Lakshina, Valeriya, 2020. "Do portfolio investors need to consider the asymmetry of returns on the Russian stock market?," The Journal of Economic Asymmetries, Elsevier, vol. 21(C).
    10. Ayub, Usman & Shah, Syed Zulfiqar Ali & Abbas, Qaisar, 2015. "Robust analysis for downside risk in portfolio management for a volatile stock market," Economic Modelling, Elsevier, vol. 44(C), pages 86-96.
    11. Dong, Xiyong & Li, Changhong & Yoon, Seong-Min, 2021. "How can investors build a better portfolio in small open economies? Evidence from Asia’s Four Little Dragons," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
    12. Ryo Kinoshita, 2015. "Asset allocation under higher moments with the GARCH filter," Empirical Economics, Springer, vol. 49(1), pages 235-254, August.
    13. Cao, Yufei, 2022. "Extreme risk spillovers across financial markets under different crises," Economic Modelling, Elsevier, vol. 116(C).
    14. Do, A. & Powell, R. & Yong, J. & Singh, A., 2020. "Time-varying asymmetric volatility spillover between global markets and China’s A, B and H-shares using EGARCH and DCC-EGARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    15. Jiang, Chonghui & Ma, Yongkai & An, Yunbi, 2016. "Portfolio selection with a systematic skewness constraint," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 393-405.
    16. Cardona, Laura & Gutiérrez, Marcela & Agudelo, Diego A., 2017. "Volatility transmission between US and Latin American stock markets: Testing the decoupling hypothesis," Research in International Business and Finance, Elsevier, vol. 39(PA), pages 115-127.
    17. George Samartzis & Nikitas Pittis, 2022. "On The Equivalence Of The Mean Variance Criterion And Stochastic Dominance Criteria," Papers 2211.01240, arXiv.org.
    18. Dimitrios Vortelinos & Konstantinos Gkillas (Gillas) & Costas Syriopoulos & Argyro Svingou, 2017. "Asymmetric and nonlinear inter-relations of US stock indices," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 14(1), pages 78-129, December.
    19. Chan, Raymond H. & Chow, Sheung-Chi & Guo, Xu & Wong, Wing-Keung, 2022. "Central moments, stochastic dominance, moment rule, and diversification with an application," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    20. Díaz, Antonio & Escribano, Ana & Esparcia, Carlos, 2024. "Sustainable risk preferences on asset allocation: a higher order optimal portfolio study," Journal of Behavioral and Experimental Finance, Elsevier, vol. 41(C).

    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:eee:phsmap:v:563:y:2021:i:c:s0378437120307524. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.