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Robust Portfolio Choice under the Modified Constant Elasticity of Variance

Authors :
Wei Li Fan
Marcos Escobar Anel
Source :
Mathematics, Vol 12, Iss 3, p 440 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

This study investigates ambiguity aversion within the framework of a utility-maximizing investor under a modified constant-elasticity-of-volatility (M-CEV) model for the underlying asset. We derive closed-form solutions of a non-affine type for the optimal allocation and value function via a Cauchy problem. This work generalizes previous results in non-ambiguous settings by extending existing work to Hyperbolic Absolute Risk Aversion utility (HARA), correcting some typos in the literature for Constant Relative Risk Aversion utility (CRRA). Helpful details and derivations are also included in the manuscript.

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.59e4821964f74badbffd20951b9b94a7
Document Type :
article
Full Text :
https://doi.org/10.3390/math12030440