Both stochastic dominance and Omegaratio can be used to examine whether the market is efficient, whether there is any arbitrage opportunity in the market and whether there is any anomaly in the market. In this paper, we first study the relationship between stochastic dominance and the Omega...

The portfolio performance evaluation involves the determination of how a managed portfolio has performed relative to some comparison benchmark. Performance evaluation methods generally fall into two categories, namely conventional and risk-adjusted methods. The most widely used conventional...

This paper applies Magni's (2011) Aggregate Return On Investment (AROI)to investment performance measurement. We show that the ratio of undiscountednet cash flow to undiscounted invested capital is not a naive metric (itseemingly does not take the time value of money into account). It is a...

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 is on decision theoretical foundations for various types of VaR models, including VaR and conditional-VaR, as objective measures of downside risk for financial prospects. We establish the connections of the VaRs with the first- and the second-order stochastic dominance investment...