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Downside Loss Aversion and Portfolio Management

Author

Listed:
  • Robert Jarrow

    () (Johnson Graduate School of Management, Cornell University, Ithaca, New York 14853)

  • Feng Zhao

    () (Rutgers Business School, Rutgers University, Newark, New Jersey 07102)

Abstract

Downside loss-averse preferences have seen a resurgence in the portfolio management literature. This is due to the increasing use of derivatives in managing equity portfolios and the increased use of quantitative techniques for bond portfolio management. We employ the lower partial moment as a risk measure for downside loss aversion and compare mean-variance (M-V) and mean-lower partial moment (M-LPM) optimal portfolios under nonnormal asset return distributions. When asset returns are nearly normally distributed, there is little difference between the optimal M-V and M-LPM portfolios. When asset returns are nonnormal with large left tails, we document significant differences in M-V and M-LPM optimal portfolios. This observation is consistent with industry usage of M-V theory for equity portfolios but not for fixed-income portfolios.

Suggested Citation

  • Robert Jarrow & Feng Zhao, 2006. "Downside Loss Aversion and Portfolio Management," Management Science, INFORMS, vol. 52(4), pages 558-566, April.
  • Handle: RePEc:inm:ormnsc:v:52:y:2006:i:4:p:558-566
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    File URL: http://dx.doi.org/10.1287/mnsc.1050.0486
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    References listed on IDEAS

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    Cited by:

    1. Guo, Dongmei & Hu, Yi & Wang, Shouyang & Zhao, Lin, 2016. "Comparing risks with reference points: A stochastic dominance approach," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 105-116.
    2. Bertrand Maillet & Michele Costola & Massimiliano Caporin & Gregory Jannin, 2015. "On the (Ab)Use of Omega?," Working Papers 2015:02, Department of Economics, University of Venice "Ca' Foscari".
    3. Mainik, Georg & Mitov, Georgi & Rüschendorf, Ludger, 2015. "Portfolio optimization for heavy-tailed assets: Extreme Risk Index vs. Markowitz," Journal of Empirical Finance, Elsevier, vol. 32(C), pages 115-134.
    4. Mansourfar, Gholamreza & Mohamad, Shamsher & Hassan, Taufiq, 2010. "The behavior of MENA oil and non-oil producing countries in international portfolio optimization," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(4), pages 415-423, November.
    5. Flores, Gabriela & O’Donnell, Owen, 2016. "Catastrophic medical expenditure risk," Journal of Health Economics, Elsevier, vol. 46(C), pages 1-15.
    6. Velu, C. & Iyer, S., 2008. "The Rationality of Irrationality for Managers: Returns- Based Beliefs and the Traveller’s Dilemma," Cambridge Working Papers in Economics 0826, Faculty of Economics, University of Cambridge.
    7. repec:wsi:ijfexx:v:04:y:2017:i:02n03:n:s2424786317500360 is not listed on IDEAS
    8. Douglas W. Blackburn & Andrey D. Ukhov, 2013. "Individual vs. Aggregate Preferences: The Case of a Small Fish in a Big Pond," Management Science, INFORMS, vol. 59(2), pages 470-484, August.
    9. Guan, Guohui & Liang, Zongxia, 2016. "Optimal management of DC pension plan under loss aversion and Value-at-Risk constraints," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 224-237.
    10. Eeckhoudt, Louis & Fiori, Anna Maria & Rosazza Gianin, Emanuela, 2016. "Loss-averse preferences and portfolio choices: An extension," European Journal of Operational Research, Elsevier, vol. 249(1), pages 224-230.
    11. Bredin, Don & Conlon, Thomas & Potì, Valerio, 2017. "The price of shelter - Downside risk reduction with precious metals," International Review of Financial Analysis, Elsevier, vol. 49(C), pages 48-58.
    12. Brandouy, Olivier & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2009. "Exploring Bi-Criteria versus Multi-Dimensional Lower Partial Moment Portfolio Models," Working Papers 2009/29, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    13. Sefair, Jorge A. & Méndez, Carlos Y. & Babat, Onur & Medaglia, Andrés L. & Zuluaga, Luis F., 2017. "Linear solution schemes for Mean-SemiVariance Project portfolio selection problems: An application in the oil and gas industry," Omega, Elsevier, vol. 68(C), pages 39-48.
    14. Georg Mainik & Georgi Mitov & Ludger Ruschendorf, 2015. "Portfolio optimization for heavy-tailed assets: Extreme Risk Index vs. Markowitz," Papers 1505.04045, arXiv.org.
    15. Patrick Leoni, 2007. "Monte-Carlo Estimations of the Downside Risk of Derivative Portfolios," Economics, Finance and Accounting Department Working Paper Series n1760607, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
    16. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    17. Witt, Rudolf & Waibel, Hermann, 2009. "Lower Partial Moments as a measure of vulnerability to poverty in Cameroon," Hannover Economic Papers (HEP) dp-434, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    18. Sévi, Benoît, 2013. "An empirical analysis of the downside risk-return trade-off at daily frequency," Economic Modelling, Elsevier, vol. 31(C), pages 189-197.
    19. Sun, Yufei & Aw, Grace & Teo, Kok Lay & Zhu, Yanjian & Wang, Xiangyu, 2016. "Multi-period portfolio optimization under probabilistic risk measure," Finance Research Letters, Elsevier, vol. 18(C), pages 60-66.
    20. Ines Fortin & Jaroslava Hlouskova, 2015. "Downside loss aversion: Winner or loser?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(2), pages 181-233, April.
    21. Sheng, Jiliang & Wang, Xiaoting & Yang, Jun, 2012. "Incentive contracts in delegated portfolio management under VaR constraint," Economic Modelling, Elsevier, vol. 29(5), pages 1679-1685.
    22. Thomas Gries & Natasa Bilkic, 2014. "Investment under Threat of Disaster," Working Papers CIE 77, Paderborn University, CIE Center for International Economics.
    23. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.

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