Abstract
In this contribution, we address the issue of reference dependence within a behavioral portfolio model defined under Cumulative Prospect Theory. In such a framework, an investor selects the portfolio weights in order to maximize her prospect value, where portfolio returns are measured as deviations from a certain reference point. The location of this reference point affects actual investment decisions. We consider alternative hypothesis and perform an application to the European equity market.
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Notes
- 1.
In the numerical experiments, we use the parameters estimated by Tversky and Kahneman [6]: \(\lambda =2.25\) and \(a = b = 0.88\) (referred to as TK sentiment).
- 2.
In the applications, we use the (TK) parameters estimated by [6]: \(\gamma ^+=0.61\) and \(\gamma ^-=0.69\), for \(w^-\) and \(w^+\), respectively.
References
Barro, D., Corazza, M., Nardon, M.: Behavioral aspects in portfolio selection. In: Corazza, M., Gilli, M., Perna, C., Pizzi, C., Sibillo, M. (eds.) Mathematical and Statistical Methods for Actuarial Sciences and Finance, pp. 87–93. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-78965-7_14
Bernard, C., Ghossoub, M.: Static portfolio choice under cumulative prospect theory. Math. Finan. Econ. 2, 277–306 (2010). https://doi.org/10.1007/s11579-009-0021-2
He, X.D., Zhou, X.Y.: Portfolio choice under cumulative prospect theory: an analytical treatment. Manage. Sci. 57(2), 315–331 (2011)
Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47, 263–291 (1979)
Shiller, R.J.: Human behavior and the efficiency of the financial system. In: Taylor, J.B., Woodford, M. (eds.) Handbook of Macroeconomics, vol. 1C, pp. 1305–1340. Elsevier (1999)
Tversky, A., Kahneman, D.: Advances in prospect theory: cumulative representation of the uncertainty. J. Risk Uncertain. 5, 297–323 (1992). https://doi.org/10.1007/BF00122574
Werner, K.M., Zank, H.: A revealed reference point for prospect theory. J. Econ. Theory 67, 731–773 (2019). https://doi.org/10.1007/s00199-017-1096-2
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Barro, D., Corazza, M., Nardon, M. (2022). Reference Dependence in Behavioral Portfolio Selection. In: Corazza, M., Perna, C., Pizzi, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. MAF 2022. Springer, Cham. https://doi.org/10.1007/978-3-030-99638-3_10
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