Ana Corberán-Vallet (Department of Statistics and Operations Research, University of Valencia), Enriqueta Vercher (Department of Statistics and Operations Research, University of Valencia), José V. Segura (Center of Operational Research, University Miguel Hernández of Elche) and José D. Bermúdez (Department of Statistics and Operations Research, University of Valencia)
Abstract:
In this paper we analyze the portfolio selection problem from a novel perspective based on the analysis and prediction of the time series corresponding to the portfolio’s value. Namely, we define the value of a particular portfolio at the time of its acquisition. Using the time series of historical prices of the different financial assets, we calculate backward the value that said portfolio would have had in past time periods. A damped trend model is then used to analyze this time series and to predict the future values of the portfolio, providing estimates of the mean and variance for different forecasting horizons. These measures are used to formulate the portfolio selection problem, which is solved using a multi-objective genetic algorithm. To show the performance of this procedure, we use a data set of asset prices from the New York Stock Market.