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Optimal delegated portfolio management with background risk

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  • Baptista, Alexandre M.

Abstract

Most investors delegate the management of a fraction of their wealth to portfolio managers who are given the task of beating a benchmark. However, in an influential paper [Roll, R., 1992. A mean/variance analysis of tracking error. Journal of Portfolio Management 18, 13-22] shows that the objective functions commonly used by these managers lead to the selection of portfolios that are suboptimal from the perspective of investors. In this paper, we provide an explanation for the use of these objective functions based on the effect of background risk on investors' optimal portfolios. Our main contribution is to provide conditions under which investors can optimally delegate the management of their wealth to portfolio managers.

Suggested Citation

  • Baptista, Alexandre M., 2008. "Optimal delegated portfolio management with background risk," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 977-985, June.
    • Handle: RePEc:eee:jbfina:v:32:y:2008:i:6:p:977-985
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    3. 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.
    4. 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.
    5. Baptista, Alexandre M., 2012. "Portfolio selection with mental accounts and background risk," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 968-980.
    6. 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.
    7. 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.
    8. Alexander, Gordon J. & Baptista, Alexandre M., 2011. "Portfolio selection with mental accounts and delegation," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2637-2656, October.
    9. 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.
    10. 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.
    11. Sujoy Chakravarty & Glenn W. Harrison & Ernan E. Haruvy & E. Elisabet Rutström, 2011. "Are You Risk Averse over Other People's Money?," Southern Economic Journal, John Wiley & Sons, vol. 77(4), pages 901-913, April.
    12. 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.
    13. Alghalith, Moawia, 2012. "The impact of background risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6506-6508.
    14. 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.
    15. 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.
    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. 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).
    18. Alexander, Gordon J. & Baptista, Alexandre M., 2010. "Active portfolio management with benchmarking: A frontier based on alpha," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2185-2197, September.
    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.
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    21. 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.

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