Mean–variance portfolio selection under a constant elasticity of variance model

2014 ◽  
Vol 42 (5) ◽  
pp. 337-342 ◽  
Author(s):  
Yang Shen ◽  
Xin Zhang ◽  
Tak Kuen Siu
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ishak Alia ◽  
Farid Chighoub

Abstract This paper studies optimal time-consistent strategies for the mean-variance portfolio selection problem. Especially, we assume that the price processes of risky stocks are described by regime-switching SDEs. We consider a Markov-modulated state-dependent risk aversion and we formulate the problem in the game theoretic framework. Then, by solving a flow of forward-backward stochastic differential equations, an explicit representation as well as uniqueness results of an equilibrium solution are obtained.


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