Stochastic linear quadratic portfolio selection problem for relative return process is to maximize the expected linear quadratic function of the relative return process. We introduce the benchmark process and define the relative return process as quotient which is obtained when the wealth process is divided by the benchmark process. We derive the optimal portfolio in closed form via investigati...

Mean-variance criterion has long been the main stream approach in the optimal portfolio theory. The investors try to make a balance between the risk and return on their portfolio. In this paper, the deviation of the asset return from the investor’s expectation in the worst scenario is taken as the measure of risk for portfolio selection. One important advantage of this approach is that the inve...

This thesis investigates whether stock picking based on classification and regression trees can be implemented as a successful algorithmic trading system, if only based on technical analysis. To evaluate the performance of this method a fictional portfolio was constructed from the Stockholm Stock Exchange OMX30, traded on a five-year period. By means of implementation, classification of the ass...

To find out an effective way to solve the real estate portfolio optimization, an improved Ant Colony Algorithm based on information entropy was proposed. The information entropy was used to control the path selection and evolutional strategy by self-adjusting to overcome the premature convergence problem of the basic Ant Colony Algorithm. Simulation study on Traveling Salesman Problem and the a...

This paper employs fuzzy set theory to solve the unintuitive problem of the Markowitz meanvariance MV portfolio model and extend it to a fuzzy investment portfolio selection model. Our model establishes intervals for expected returns and risk preference, which can take into account investors’ different investment appetite and thus can find the optimal resolution for each interval. In the empiri...

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...

this paper proposes a family of robust counterpart for uncertain linear programs (lp) which is obtained for a general definition of the uncertainty region. the relationship between uncertainty sets using norm bod-ies and their corresponding robust counterparts defined by dual norms is presented. those properties lead us to characterize primal and dual robust counterparts. the researchers show t...

The aim of this paper is to solve the portfolio problem when security returns are birandom variables. Two types of portfolio selection based on chance measure are provided according to birandom theory. Since the proposed optimization problems are difficult to solve by traditional methods, a hybrid intelligent algorithm by integrating birandom simulation and genetic algorithm is designed. Finall...

This paper applies growth optimization with downside protection as a portfolio selection technique. The model is based on power-log utility functions that combine portfolio growth maximization with the behavioural tenets of prospect theory. We use three assets (a farm return index, a stock market index, and a Treasury bond index) to illustrate how effective this technique is compared to the sta...