IDEAS home Printed from https://ideas.repec.org/a/eee/jbfina/v111y2020ics0378426619302997.html
   My bibliography  Save this article

How does background risk affect portfolio choice: An analysis based on uncertain mean-variance model with background risk

Author

Listed:
  • Huang, Xiaoxia
  • Yang, Tingting

Abstract

This paper explores how background risk affects individual investment decisions under the framework of uncertainty theory. We propose an uncertain mean-variance model with background risk and give its optimal solution when the returns of stocks and background asset obey normal uncertainty distributions. On this basis, we study the characteristic of the mean-variance efficient frontier of the stock portfolio in the presence of background risk. Furthermore, we compare the proposed model with the uncertain mean-variance model without background risk and discuss the efficiency difference between the two models and further give the condition where the two models select the same stocks. Based on the comparison, we analyze how background risk affects individual portfolio choice. Finally, we give some numerical examples as illustrations.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:jbfina:v:111:y:2020:i:c:s0378426619302997
    DOI: 10.1016/j.jbankfin.2019.105726
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378426619302997
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jbankfin.2019.105726?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. Atella, Vincenzo & Brunetti, Marianna & Maestas, Nicole, 2012. "Household portfolio choices, health status and health care systems: A cross-country analysis based on SHARE," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1320-1335.
    2. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2011. "Effects of background risks on cautiousness with an application to a portfolio choice problem," Journal of Economic Theory, Elsevier, vol. 146(1), pages 346-358, January.
    3. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    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. Xu Guo & Andreas Wagener & Wing-Keung Wong & Lixing Zhu, 2018. "The two-moment decision model with additive risks," Risk Management, Palgrave Macmillan, vol. 20(1), pages 77-94, February.
    6. Huang, Xiaoxia & Di, Hao, 2016. "Uncertain portfolio selection with background risk," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 284-296.
    7. Asano, Takao, 2006. "Portfolio inertia under ambiguity," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 223-232, December.
    8. 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.
    9. Lensberg, Terje, 1999. "Investment behavior under Knightian uncertainty - An evolutionary approach," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1587-1604, September.
    10. Baptista, Alexandre M., 2012. "Portfolio selection with mental accounts and background risk," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 968-980.
    11. Huang, Xiaoxia & Zhao, Tianyi, 2014. "Mean-chance model for portfolio selection based on uncertain measure," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 243-250.
    12. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages 251-278, October.
    13. 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.
    14. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, June.
    15. Baptista, Alexandre M., 2008. "Optimal delegated portfolio management with background risk," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 977-985, June.
    16. Thomas Eichner & Andreas Wagener, 2009. "Multiple Risks and Mean-Variance Preferences," Operations Research, INFORMS, vol. 57(5), pages 1142-1154, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huang, Xiaoxia & Ma, Di & Choe, Kwang-Il, 2023. "Uncertain mean–variance portfolio model with inflation taking linear uncertainty distributions," International Review of Economics & Finance, Elsevier, vol. 87(C), pages 203-217.
    2. Yang, Tingting & Huang, Xiaoxia, 2022. "Active or passive portfolio: A tracking error analysis under uncertainty theory," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 309-326.
    3. Vergara, Marcos & Bonilla, Claudio A., 2021. "Precautionary saving in mean-variance models and different sources of risk," Economic Modelling, Elsevier, vol. 98(C), pages 280-289.
    4. Huang, Chenchen & Luo, Di & Mukherjee, Soumyatanu & Mishra, Tapas, 2022. "To Acquire or to Ally? Managing Partners’ Environmental Risk in International Expansion," MPRA Paper 117591, University Library of Munich, Germany, revised 07 Jan 2023.
    5. Yang, Tingting & Huang, Xiaoxia, 2022. "Two new mean–variance enhanced index tracking models based on uncertainty theory," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    6. Ramesh Adhikari & Kyle J. Putnam & Humnath Panta, 2020. "Robust Optimization-Based Commodity Portfolio Performance," IJFS, MDPI, vol. 8(3), pages 1-16, September.
    7. Tingting Yang & Xiaoxia Huang, 2022. "A New Portfolio Optimization Model Under Tracking-Error Constraint with Linear Uncertainty Distributions," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 723-747, November.
    8. Razvan Oprisor & Roy Kwon, 2020. "Multi-Period Portfolio Optimization with Investor Views under Regime Switching," JRFM, MDPI, vol. 14(1), pages 1-31, December.

    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. Huang, Xiaoxia & Di, Hao, 2016. "Uncertain portfolio selection with background risk," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 284-296.
    2. 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.
    3. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "An analysis of portfolio selection with multiplicative background risk," MPRA Paper 51331, University Library of Munich, Germany.
    4. 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.
    5. Jiang, Chonghui & Ma, Yongkai & An, Yunbi, 2013. "International portfolio selection with exchange rate risk: A behavioural portfolio theory perspective," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 648-659.
    6. 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.
    7. 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.
    8. 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).
    9. Brandtner, Mario, 2018. "Expected Shortfall, spectral risk measures, and the aggravating effect of background risk, or: risk vulnerability and the problem of subadditivity," Journal of Banking & Finance, Elsevier, vol. 89(C), pages 138-149.
    10. 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.
    11. Alghalith, Moawia, 2012. "The impact of background risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6506-6508.
    12. Baptista, Alexandre M., 2012. "Portfolio selection with mental accounts and background risk," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 968-980.
    13. 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.
    14. Li Liao & Jing Jian Xiao & Weiqiang Zhang & Congyi Zhou, 2017. "Financial literacy and risky asset holdings: evidence from China," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 57(5), pages 1383-1415, December.
    15. Becker, Gideon, 2014. "The portfolio structure of German households: A multinomial fractional response approach with unobserved heterogeneity," University of Tübingen Working Papers in Business and Economics 74, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    16. 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.
    17. Pelizzon, Loriana & Weber, Guglielmo, 2009. "Efficient portfolios when housing needs change over the life cycle," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2110-2121, November.
    18. Callado Muñoz, Francisco Jose & González Chapela, Jorge & Utrero González, Natalia, 2014. "Analysis of deviance in household financial portfolio choice: evidence from Spain," MPRA Paper 57497, University Library of Munich, Germany.
    19. John H. Cochrane, 2014. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," Journal of Finance, American Finance Association, vol. 69(1), pages 1-49, February.
    20. Kaustia, Markku & Conlin, Andrew & Luotonen, Niilo, 2023. "What drives stock market participation? The role of institutional, traditional, and behavioral factors," Journal of Banking & Finance, Elsevier, vol. 148(C).

    More about this item

    Keywords

    Uncertainty theory; Background risk; Mean-variance optimization; Portfolio selection;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    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:jbfina:v:111:y:2020:i:c:s0378426619302997. 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.elsevier.com/locate/jbf .

    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.