scholarly journals Optimal strategies of benchmark and mean-variance portfolio selection problems for insurers

2010 ◽  
Vol 6 (3) ◽  
pp. 483-496 ◽  
Author(s):  
Yan Zeng ◽  
◽  
Zhongfei Li ◽  
Jingjun Liu ◽  
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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