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Loss aversion, large deviation preferences and optimal portfolio weights for some classes of return processes

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  • Duffy, Ken
  • Lobunets, Olena
  • Suhov, Yuri

Abstract

We propose a model of a loss averse investor who aims to maximize his expected wealth under certain constraints. The constraints are that he avoids, with high probability, incurring an (suitably defined) unacceptable loss. The methodology employed comes from the theory of large deviations. We explore a number of fundamental properties of the model and illustrate its desirable features. We demonstrate its utility by analyzing assets that follow some commonly used financial return processes: Fractional Brownian Motion, Jump Diffusion, Variance Gamma and Truncated Lévy.

Suggested Citation

  • Duffy, Ken & Lobunets, Olena & Suhov, Yuri, 2007. "Loss aversion, large deviation preferences and optimal portfolio weights for some classes of return processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 408-422.
    • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:408-422
    DOI: 10.1016/j.physa.2006.11.079
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    References listed on IDEAS

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    6. Brigitte C. Madrian & Dennis F. Shea, 2001. "The Power of Suggestion: Inertia in 401(k) Participation and Savings Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1149-1187.
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    Cited by:

    1. Cao, Bing-Bing & Fan, Zhi-Ping & You, Tian-Hui, 2017. "The newsvendor problem with reference dependence, disappointment aversion and elation seeking," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 568-574.
    2. Stutzer, Michael, 2020. "Persistence of averages in financial Markov Switching models: A large deviations approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Stutzer, Michael, 2013. "Optimal hedging via large deviation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3177-3182.

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