Mean-Variance, Mean-VaR, Mean-CVaR Models for Portfolio Selection with Background Risk

This paper extends Jiang, et al. (2010), Guo, et al. (2017), and others by investigating the impact of background risk on an investor's portfolio choice in the mean-VaR, mean-CVaR and mean-variance framework, and analyzes the characterizations of the mean-variance boundary and mean-VaR efficient frontier in the presence of background risk. We also consider the case with a risk-free security. Finally, we extend our work to the non-normality situation and examine the economic implications of the mean-VaR/CVaR model