The purpose of this paper is to examine the issue of portfolio optimization. Optimization consists of minimizing the risk for a given rate of return or achieving a bigger return for a given level of risk. We use historical data from the Bank of Greece to calculate the net return and the standard deviation (std) for each type of property that is available. The objective is to maximize the economic value added (EVA) of a property’s assets portfolio under a specific rate of standard deviation, following the classic Markowitz model (M-V). The stochastic procedure entry in the model uses the Monte Carlo Simulation method with debt to equity (DTE) following PERT distribution for the portfolio’s invested budget, and the net return for the normal distribution with the mean of the expected return and std are taken from historical data, correspondingly. The returns verify that they follow the base assumption of normality through the Lilliefors test in the Greek real estate market. We observe the maximization of EVA and the expected return maximizing concurrently, but the minimizing risk of EVA is diversified with the minimization of portfolio risk. We observe that the max weight that a residential asset takes is 22.7% because a bigger percent reduces both mean and std. The study provides an explicit portfolio optimization procedure under uncertainty in the real estate market and enriches the academic debate about EVA and revenue.

Corporate groups consist of a set of companies, often described as subsidiaries, which are usually controlled by one single entity, the parent or holding company. The term control means the parent company’s rights to direct the relevant activities of other companies. A parent company can control a subsidiary either directly or indirectly through its voting power. Groups’ structure can be very complex usually with multiple crossholding and loop participations driving to not observable sharing rights. The aim of this paper is to examine how the parent company of a group with given participation rates can increase its capital by changing the share structure of the group and maintain management control over the group while the least capital comes from the majority. Furthermore, using evolver software we derive to the new optimal structure of the group and the maximum parent’s cash inflow from shares exchange. The value of this research to show the possibility for a parent company to create additional capital, by maximizing the minority interest, and at the same time direct voting rights in its favor.