This paper considers a multi-objective portfolio selection problem imposed by gaining of portfolio, divided yield and risk control in an ambiguous investment environment, in which the return and risk are characterized by probabilistic numbers. Based on the theory of possibility, a new multi-objective portfolio optimization model with gaining of portfolio, divided yield and risk control is propo...

The paper compares three portfolio optimization models. Modern portfolio theory (MPT) is a short-horizon volatility model. The relevant time horizon is the sampling interval. MPT is myopic and implies that investors are not concerned with long-term variance or mean-reversion. Intertemporal portfolio choice is a multiple period model that revises portfolios continuously in response to relevant s...

empirical studies show that there is stronger dependency between large losses than large profit in financial market, which undermine the performance of using symmetric distribution for modeling these asymmetric. that is why the assuming normal joint distribution of returns is not suitable because of considering the linier dependence, and can be lead to inappropriate estimate of var. copula theo...

portfolio theory assumes that investors accept risk. this means thatin the equal rate of return on the two assets, the assets were chosenthat have a lower risk level. modern portfolio theory is accepted byinvestors who believe that they are not cope with the market. sothey keep many different types of securities in order to access theoptimum efficiency rate that is close to the rate of return o...

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is optimize over family rank-based parameterized by an exponentially concave function on unit interval. This choice can be motivated long term stability capital distribution observed large equity markets allows us circumvent ...