IDEAS home Printed from https://ideas.repec.org/a/eee/jbfina/v34y2010i12p3055-3060.html
   My bibliography  Save this article

An analysis of portfolio selection with background risk

Author

Listed:
  • Jiang, Chonghui
  • Ma, Yongkai
  • An, Yunbi

Abstract

This paper investigates the impact of background risk on an investor's portfolio choice in a mean-variance framework, and analyzes the properties of efficient portfolios as well as the investor's hedging behaviour in the presence of background risk. Our model implies that the efficient portfolio with background risk can be separated into two independent components: the traditional mean-variance efficient portfolio, and a self-financing component constructed to hedge against background risk. Our analysis also shows that the presence of background risk shifts the efficient frontier of financial assets to the right with no changes in its shape. Moreover, both the composition of the hedge portfolio and the location of the efficient frontier are greatly affected by a number of background risk factors, including the proportion of background assets in total wealth and the correlation between background risk and financial risk.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jbfina:v:34:y:2010:i:12:p:3055-3060
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378-4266(10)00271-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. 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. Shum, Pauline & Faig, Miquel, 2006. "What explains household stock holdings?," Journal of Banking & Finance, Elsevier, vol. 30(9), pages 2579-2597, September.
    3. Joao F. Cocco, 2005. "Portfolio Choice in the Presence of Housing," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 535-567.
    4. John Y. Campbell, 2006. "Household Finance," Journal of Finance, American Finance Association, vol. 61(4), pages 1553-1604, August.
    5. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    8. Rosen, H.S.Harvey S. & Wu, Stephen, 2004. "Portfolio choice and health status," Journal of Financial Economics, Elsevier, vol. 72(3), pages 457-484, June.
    9. 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.
    10. Ilia Tsetlin & Robert L. Winkler, 2005. "Risky Choices and Correlated Background Risk," Management Science, INFORMS, vol. 51(9), pages 1336-1345, September.
    11. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    12. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    13. Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
    14. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    15. Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
    16. 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.
    17. Guenter Franke & Richard Stapleton & Marti Subrahmanyam, 2004. "Background risk and the demand for state-contingent claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 321-335, January.
    18. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006. "Multiplicative Background Risk," Management Science, INFORMS, vol. 52(1), pages 146-153, January.
    19. 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.
    20. Berkowitz, Michael K. & Qiu, Jiaping, 2006. "A further look at household portfolio choice and health status," Journal of Banking & Finance, Elsevier, vol. 30(4), pages 1201-1217, April.
    21. Fatma Lajeri-Chaherli, 2004. "Proper and Standard Risk Aversion in Two-Moment Decision Models," Theory and Decision, Springer, vol. 57(3), pages 213-225, November.
    22. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    23. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    24. Baptista, Alexandre M., 2008. "Optimal delegated portfolio management with background risk," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 977-985, June.
    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    7. 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.
    8. Zhongda Li & Lu Liu & Jiayu Shi & Yubing Sui, 2021. "Health insurance, risk attitudes, and household financial behavior," Health Economics, John Wiley & Sons, Ltd., vol. 30(5), pages 1239-1246, May.
    9. Dana Goldman & Nicole Maestas, 2013. "Medical Expenditure Risk And Household Portfolio Choice," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 527-550, June.
    10. 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.
    11. 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.
    12. Cai, Mingchao & Chen, Zhihong, 2019. "Does country background risk matter to the strategic asset allocation of sovereign wealth funds?," Pacific-Basin Finance Journal, Elsevier, vol. 57(C).
    13. Kronenberg, C. & van Kippersluis, H. & Rohde, K.I.M., 2014. "What drives the association between health and portfolio choice?," Health, Econometrics and Data Group (HEDG) Working Papers 14/27, HEDG, c/o Department of Economics, University of York.
    14. Luc Arrondel & Fr餩rique Savignac, 2015. "Risk management, housing and stockholding," Applied Economics, Taylor & Francis Journals, vol. 47(39), pages 4208-4227, August.
    15. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    16. Arrondel, L. & Savignac, F., 2009. "Stockholding: Does housing wealth matter?," Working papers 266, Banque de France.
    17. 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.
    18. 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.
    19. Lee, Daeyong, 2018. "Effects of health insurance coverage on household financial portfolio: Evidence from the Affordable Care Act," Economics Letters, Elsevier, vol. 171(C), pages 176-179.
    20. Ryan D. Edwards, 2010. "Optimal portfolio choice when utility depends on health," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 205-225, June.

    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:34:y:2010:i:12:p:3055-3060. 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.