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Ambiguity made easier

  • Matteo Del Vigna

    ()

    (Dipartimento di Statistica e Matematica Applicata all'Economia, Universita' di Pisa & CEREMADE, Universite' Paris-Dauphine)

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    In this paper we review some well-known simple models for portfolio selection under Knightian uncertainty, also known as ambiguity, and we compute a number of explicit optimal portfolio rules using elementary mathematical tools. In the case of a single period financial market, new results arise for an agent who is risk neutral and smoothly ambiguity averse, for a loss averse and smoothly ambiguity averse agent, for a Mean-Variance and alpha-Maxmin Expected Utility agent. In a continuous time setting, we are able to recover some existing results on optimal investment strategies employing trivial stochastic analysis and avoiding the complicated BSDE machinery.

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    File URL: http://www.disei.unifi.it/upload/sub/pubblicazioni/repec/flo/workingpapers/storicodimad/2011/dimadwp2011-07.pdf
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    Paper provided by Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa in its series Working Papers - Mathematical Economics with number 2011-07.

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    Length: 11 pages
    Date of creation: Apr 2011
    Date of revision:
    Handle: RePEc:flo:wpaper:2011-07
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    1. Haley, M. Ryan & McGee, M. Kevin, 2006. "Tilting safety first and the Sharpe portfolio," Finance Research Letters, Elsevier, vol. 3(3), pages 173-180, September.
    2. Peter Bossaerts & Paolo Ghirardato & Serena Guarnaschelli & William R. Zame, 2010. "Ambiguity in Asset Markets: Theory and Experiment," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1325-1359, April.
    3. Hwang, Soosung & Satchell, Steve E., 2010. "How loss averse are investors in financial markets?," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2425-2438, October.
    4. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    5. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
    6. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    7. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    8. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    9. Sujoy Mukerji & Peter Klibanoff, 2002. "A Smooth Model of Decision,Making Under Ambiguity," Economics Series Working Papers 113, University of Oxford, Department of Economics.
    10. Zhiyong Dong & Qingyang Gu & Xu Han, 2010. "Ambiguity aversion and rational herd behaviour," Applied Financial Economics, Taylor & Francis Journals, vol. 20(4), pages 331-343.
    11. 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.
    12. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    13. Marco Taboga, 2005. "Portfolio Selection with Two-Stage Preferences," Finance 0506009, EconWPA.
    14. Kan, Raymond & Zhou, Guofu, 2007. "Optimal Portfolio Choice with Parameter Uncertainty," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(03), pages 621-656, September.
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