The aim of this paper is to consider instability and ambiguity problems on portfolio selection. We examine the impact of estimation errors on financial portfolios optimization processes. We investigate the controversy problem of international and domestic optimal diversification strategies...

In this paper we present two dynamic models of background risk. We first present a stochastic factor model with an additive background risk. Thereafter, we present a dynamic model of simultaneous (correlated) multiplicative background risk and additive background risk. In so doing, we use a...

To obtain better optimal portfolios, academics develop the behavioral portfolio theory (BPT) with two mental accounts by minimizing the risk as well as maximizing the return. However, there are some limitations to the existing BPT. To circumvent the limitations, this paper proposes a new...

The high-speed growth of the health care sector has given this sector an increasingly important role in the stock market. This sector however has the highest mean in our study and a low correlation with the business cycle. On the other hand, T-Bill is also an important asset in investment...

It is well-known that under some conditions, the mean-variance rule is equivalent to stochastic dominance rule. Some academics hypothesize that there could exist mean-Omega ratio rule that could be equivalent to stochastic dominance rule under certain conditions. To explore this possible, in...

This paper extends Jiang, et al. (2010), Guo, et al. (2018), 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...

This paper develops new financial theory to link the third order stochastic dominance for risk-averse and risk-seeking investors and provide illustration of application in risk management. We present some interesting new properties of third order stochastic dominance (TSD) for risk-averse and...

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...

In this paper we first extend the theory of almost stochastic dominance (ASD) (for risk averters) to include the ASD for risk-seeking investors. We then study the relationship between ASD for risk seekers and ASD for risk averters. Recently, Tsetlin, et al. (2015) develop the theory of...

In this paper, we first state some well-known problems including the Friedman-Savage paradox raised by Friedman and Savage (1948) who wonder why individuals would like to buy insurance as well as buy lottery tickets. To provide solutions to the problems, we first use the idea from Fishburn and...