Loss Aversion Robust Optimization Model Under Distribution and Mean Return Ambiguity
Document Type
Article
Publication Date
12-1-2023
Abstract
From the aspect of behavioral finance, which is an emerging area integrating human behavior into finance, this work studies a robust portfolio problem for loss-averse investors under distribution and mean return ambiguity. A loss-aversion distributionally-robust optimization model is constructed if the return distribution of risky assets is unknown. Then, under the premise that the mean returns of risky assets belong to an ellipsoidal uncertainty set, a model under joint ambiguity in distribution and mean returns is constructed. This study solves both robust models and derives their analytical solutions, respectively. Moreover, the effect of ambiguity aversion and loss aversion on robust optimal portfolio returns is studied. The results show that ambiguity-neutral investors who do not know the return distribution obtain more robust optimal portfolio returns than ambiguity-averse investors who are unaware of both the distribution and mean return. The difference between them decreases with the increase of loss aversion coefficients and increases with ambiguity aversion coefficients. Both loss aversion and ambiguity aversion play important roles in investors' behavioral portfolio selection.
Identifier
85136640633 (Scopus)
Publication Title
IEEE Transactions on Computational Social Systems
External Full Text Location
https://doi.org/10.1109/TCSS.2022.3195816
e-ISSN
2329924X
First Page
3252
Last Page
3261
Issue
6
Volume
10
Grant
N2123018
Fund Ref
Fundamental Research Funds for the Central Universities
Recommended Citation
Wang, Jia; Zhou, Mengchu; Guo, Xiwang; Qi, Liang; and Wang, Xu, "Loss Aversion Robust Optimization Model Under Distribution and Mean Return Ambiguity" (2023). Faculty Publications. 1301.
https://digitalcommons.njit.edu/fac_pubs/1301