IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v6y2018i1p1-28n1.html
   My bibliography  Save this article

A High-Moment Trapezoidal Fuzzy Random Portfolio Model with Background Risk

Author

Listed:
  • Deng Xiong

    (School of Software Engineering, Anyang Normal University, Anyang, 455000, China)

  • Liu Yanli

    (School of Software Engineering, Anyang Normal University, Anyang, 455000, China)

Abstract

In most exiting portfolio selection models, security returns are assumed to have random or fuzzy distributions. However, uncertainties exist in actual financial markets. Markets are associated not only with inherent risk, but also with background risk that results from the differences among individual investors. This paper investigated the compliance of stock yields to the fuzzy-natured high-order moments of random numbers in order to develop a high-moment trapezoidal fuzzy random portfolio risk model based on variance, skewness, and kurtosis. Data obtained from the Shanghai Stock Exchange and Shenzhen Stock Exchange was used to assess the influence on the proposed model of both background risk and the maximum level of satisfaction of the portfolio. The empirical results demonstrated that the differences between the maximum and minimum variance, skewness, and kurtosis values of the portfolio were positively correlated with the variance of the background risk.

Suggested Citation

  • Deng Xiong & Liu Yanli, 2018. "A High-Moment Trapezoidal Fuzzy Random Portfolio Model with Background Risk," Journal of Systems Science and Information, De Gruyter, vol. 6(1), pages 1-28, February.
    • Handle: RePEc:bpj:jossai:v:6:y:2018:i:1:p:1-28:n:1
    DOI: 10.21078/JSSI-2018-001-28
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2018-001-28
    Download Restriction: no
    File URL: https://libkey.io/10.21078/JSSI-2018-001-28?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
    ---><---

    References listed on IDEAS

    as
    1. Cardak, Buly A. & Wilkins, Roger, 2009. "The determinants of household risky asset holdings: Australian evidence on background risk and other factors," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 850-860, May.
    2. Eichner, Thomas & Wagener, Andreas, 2012. "Tempering effects of (dependent) background risks: A mean-variance analysis of portfolio selection," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 422-430.
    3. Shum, Pauline & Faig, Miquel, 2006. "What explains household stock holdings?," Journal of Banking & Finance, Elsevier, vol. 30(9), pages 2579-2597, September.
    4. Jadidi, O. & Zolfaghari, S. & Cavalieri, S., 2014. "A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation," International Journal of Production Economics, Elsevier, vol. 148(C), pages 158-165.
    5. Enrique Ballestero & Ana Garcia-Bernabeu, 2015. "Compromise Programming and Utility Functions," International Series in Operations Research & Management Science, in: Enrique Ballestero & Blanca Pérez-Gladish & Ana Garcia-Bernabeu (ed.), Socially Responsible Investment, edition 127, chapter 0, pages 155-175, Springer.
    6. Alghalith, Moawia, 2012. "The impact of background risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6506-6508.
    7. Anthony D Hall & Stephen E Satchell, 2013. "The anatomy of portfolio skewness and kurtosis," Journal of Asset Management, Palgrave Macmillan, vol. 14(4), pages 228-235, August.
    8. Li, Ting & Zhang, Weiguo & Xu, Weijun, 2015. "A fuzzy portfolio selection model with background risk," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 505-513.
    9. Fan, Elliott & Zhao, Ruoyun, 2009. "Health status and portfolio choice: Causality or heterogeneity?," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1079-1088, June.
    10. Paz Méndez-Rodrı́guez & Blanca Pérez-Gladish & José Manuel Cabello & Francisco Ruiz, 2015. "Portfolio Selection with SRI Synthetic Indicators: A Reference Point Method Approach," International Series in Operations Research & Management Science, in: Enrique Ballestero & Blanca Pérez-Gladish & Ana Garcia-Bernabeu (ed.), Socially Responsible Investment, edition 127, chapter 0, pages 263-282, Springer.
    11. Enrique Ballestero & Ana Garcia-Bernabeu & Adolfo Hilario, 2015. "Portfolio Selection by Goal Programming Techniques," International Series in Operations Research & Management Science, in: Enrique Ballestero & Blanca Pérez-Gladish & Ana Garcia-Bernabeu (ed.), Socially Responsible Investment, edition 127, chapter 0, pages 111-129, Springer.
    12. Tsanakas, Andreas, 2008. "Risk measurement in the presence of background risk," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 520-528, April.
    13. Belaid Aouni, 2013. "Comments on: Multicriteria decision systems for financial problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 262-264, July.
    14. Brinkmann, Felix & Kempf, Alexander & Korn, Olaf, 2014. "Forward-looking measures of higher-order dependencies with an application to portfolio selection," CFR Working Papers 13-08 [rev.], University of Cologne, Centre for Financial Research (CFR).
    15. Heaton, John & Lucas, Deborah, 2000. "Portfolio Choice in the Presence of Background Risk," Economic Journal, Royal Economic Society, vol. 110(460), pages 1-26, January.
    16. Baptista, Alexandre M., 2008. "Optimal delegated portfolio management with background risk," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 977-985, June.
    17. Kim, Woo Chang & Fabozzi, Frank J. & Cheridito, Patrick & Fox, Charles, 2014. "Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments," Economics Letters, Elsevier, vol. 122(2), pages 154-158.
    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. Li, Ting & Zhang, Weiguo & Xu, Weijun, 2015. "A fuzzy portfolio selection model with background risk," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 505-513.
    2. Xu, Guo & Wing-Keung, Wong & Lixing, Zhu, 2013. "Comparisons and Characterizations of the Mean-Variance, Mean-VaR, Mean-CVaR Models for Portfolio Selection With Background Risk," MPRA Paper 51827, University Library of Munich, Germany.
    3. Jiang, Chonghui & Ma, Yongkai & An, Yunbi, 2010. "An analysis of portfolio selection with background risk," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 3055-3060, December.
    4. Cardak, Buly A. & Wilkins, Roger, 2009. "The determinants of household risky asset holdings: Australian evidence on background risk and other factors," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 850-860, May.
    5. Moawia Alghalith & Xu Guo & Wing-Keung Wong & Lixing Zhu, 2016. "A General Optimal Investment Model In The Presence Of Background Risk," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-8, March.
    6. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    7. Lu, Xiaomeng & Guo, Jiaojiao & Gan, Li, 2020. "International comparison of household asset allocation: Micro-evidence from cross-country comparisons," Emerging Markets Review, Elsevier, vol. 43(C).
    8. Alghalith, Moawia, 2012. "The impact of background risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6506-6508.
    9. Christelis, Dimitris & Georgarakos, Dimitris & Haliassos, Michael, 2011. "Stockholding: Participation, location, and spillovers," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 1918-1930, August.
    10. Huang, Hung-Hsi & Wang, Ching-Ping, 2013. "Portfolio selection and portfolio frontier with background risk," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 177-196.
    11. Raslan Alzuabi & Sarah Brown & Mark N. Harris & Karl Taylor, 2024. "Modelling the composition of household portfolios: A latent class approach," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 57(1), pages 243-275, February.
    12. Dekui Jia & Ruihai Li & Shibo Bian & Christopher Gan, 2021. "Financial Planning Ability, Risk Perception and Household Portfolio Choice," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 57(8), pages 2153-2175, June.
    13. Huang, Xiaoxia & Yang, Tingting, 2020. "How does background risk affect portfolio choice: An analysis based on uncertain mean-variance model with background risk," Journal of Banking & Finance, Elsevier, vol. 111(C).
    14. Yun Ye & Yongjian Pu & Ailun Xiong, 2022. "The impact of digital finance on household participation in risky financial markets: Evidence-based study from China," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-16, April.
    15. Xu Guo & Raymond H. Chan & Wing-Keung Wong & Lixing Zhu, 2019. "Mean–variance, mean–VaR, and mean–CVaR models for portfolio selection with background risk," Risk Management, Palgrave Macmillan, vol. 21(2), pages 73-98, June.
    16. Sofia Vale & Francisco Camões, 2017. "Housing valuation, wealth perception, and households’ portfolio composition," EcoMod2017 10565, EcoMod.
    17. Brown, Sarah & Gray, Daniel & Harris, Mark N. & Spencer, Christopher, 2021. "Household portfolio allocation, uncertainty, and risk," Journal of Empirical Finance, Elsevier, vol. 63(C), pages 96-117.
    18. Huang, Xiaoxia & Di, Hao, 2016. "Uncertain portfolio selection with background risk," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 284-296.
    19. Angrisani, Marco & Atella, Vincenzo & Brunetti, Marianna, 2018. "Public health insurance and household portfolio Choices: Unravelling financial “Side Effects” of Medicare," Journal of Banking & Finance, Elsevier, vol. 93(C), pages 198-212.
    20. Cardak, Buly A. & Martin, Vance L., 2023. "Household willingness to take financial risk: Stockmarket movements and life‐cycle effects," Journal of Banking & Finance, Elsevier, vol. 149(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:bpj:jossai:v:6:y:2018:i:1:p:1-28:n:1. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.