Time-Varying Mean-Variance Portfolio Selection under Transaction Costs and Cardinality Constraint Problem via Beetle Antennae Search Algorithm (BAS)

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Vasilios N. Katsikis ◽  
Spyridon D. Mourtas ◽  
Predrag S. Stanimirović ◽  
Shuai Li ◽  
Xinwei Cao
2021 ◽  
pp. 105582
Author(s):  
Vasilios N. Katsikis ◽  
Spyridon D. Mourtas ◽  
Predrag S. Stanimirović ◽  
Shuai Li ◽  
Xinwei Cao

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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