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Portfolio selection with mental accounts and delegation

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  • Alexander, Gordon J.
  • Baptista, Alexandre M.

Abstract

Das et al. (2010) develop an elegant framework where an investor selects portfolios within mental accounts but ends up holding an aggregate portfolio on the mean-variance frontier. This investor directly allocates the wealth in each account among available assets. In practice, however, investors often delegate the task of allocating wealth among assets to portfolio managers who seek to beat certain benchmarks. Accordingly, we extend their framework to the case where the investor allocates the wealth in each account among portfolio managers. Our contribution is threefold. First, we provide an analytical characterization of the existence and composition of the optimal portfolios within accounts and the aggregate portfolio. Second, we present conditions under which such portfolios are not on the mean-variance frontier, and conditions under which they are. Third, we show that the aforementioned analytical characterization is also applicable within the framework of Das et al. and thus improves upon their numerical approach.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Banking & Finance.

Volume (Year): 35 (2011)
Issue (Month): 10 (October)
Pages: 2637-2656

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Handle: RePEc:eee:jbfina:v:35:y:2011:i:10:p:2637-2656

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Web page: http://www.elsevier.com/locate/jbf

Related research

Keywords: Portfolio selection Mental accounts Delegation Benchmarking Behavioral finance;

References

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  2. Sensoy, Berk A., 2009. "Performance evaluation and self-designated benchmark indexes in the mutual fund industry," Journal of Financial Economics, Elsevier, vol. 92(1), pages 25-39, April.
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  4. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(04), pages 1851-1872, September.
  5. Baptista, Alexandre M., 2008. "Optimal delegated portfolio management with background risk," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 977-985, June.
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  8. Alexander, Gordon J. & Baptista, Alexandre M., 2008. "Active portfolio management with benchmarking: Adding a value-at-risk constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 779-820, March.
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  18. Admati, Anat R & Pfleiderer, Paul, 1997. "Does It All Add Up? Benchmarks and the Compensation of Active Portfolio Managers," The Journal of Business, University of Chicago Press, vol. 70(3), pages 323-50, July.
  19. 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.
  20. Laibson, David I. & Madrian, Brigitte C. & Choi, James J., 2009. "Mental Accounting in Portfolio Choice: Evidence from a Flypaper Effect," Scholarly Articles 4686774, Harvard University Department of Economics.
  21. Brad M. Barber & Terrance Odean & Lu Zheng, 2005. "Out of Sight, Out of Mind: The Effects of Expenses on Mutual Fund Flows," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2095-2120, November.
  22. Das, Sanjiv & Markowitz, Harry & Scheid, Jonathan & Statman, Meir, 2010. "Portfolio Optimization with Mental Accounts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(02), pages 311-334, April.
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  25. Villatoro, Félix, 2009. "The delegated portfolio management problem: Reputation and herding," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2062-2069, November.
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Citations

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Cited by:
  1. 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.
  2. Chiarawongse, Anant & Kiatsupaibul, Seksan & Tirapat, Sunti & Roy, Benjamin Van, 2012. "Portfolio selection with qualitative input," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 489-496.
  3. Baptista, Alexandre M., 2012. "Portfolio selection with mental accounts and background risk," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 968-980.

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