Research Communication | Open Access
Volume 2021 | Communication ID 181
Continuous-Time Mean-Variance Portfolio Selection with Regime Switching Financial Market: Time-Consistent Solution
Nour El Houda Bouaicha, Farid Chighoub
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2021
February 15, 2021
March 15, 2021

Abstract: In this presentation, we study the optimal time consistent strategies for the mean-variance portfolio selection problem with a state depend risque aversion modulated by Markov regime-switching. We consider that the price processes of risky stocks are described by a jump-diffusion SDE. We formulate the problem in the game-theoretic framework . By applying the stochastic maximum principle approach, we derive necessary and sufficient condition for equilibrium. An explicit representation of the equilibrium solution is derived as well as its uniqueness. Moreover, some particular cases of our ...