@article{iiasa13569, volume = {28}, number = {4}, title = {A recursive procedure for selecting optimal portfolio according to the MAD model}, publisher = {Systems Reseach Institute of the Polish Academy of Sciences}, year = {1999}, pages = {725--738}, journal = {Control and Cybernetics}, keywords = {Downside risk aversion; Linear programming; Portfolio optimization}, url = {http://control.ibspan.waw.pl:3000/contents/show/80?year=1999}, issn = {0324-8569}, abstract = {The mathematical model of portfolio optimization is usually represented as a bicriteria optimization problem where a reasonable trade-off between expected rate of return and risk is sought. In a classical Markowitz model the risk is measured by a variance, thus resulting in a quadratic programming model. As an alternative, the MAD model was proposed where risk is measured by (mean) absolute deviation instead of a variance. The MAD model is computationally attractive, since it is transformed into an easy to solve linear programming program. In this paper we present a recursive procedure which allows to identify optimal portfolio of the MAD model depending on investor's downside risk aversion.}, author = {Michalowski, W. and Ogryczak, W.} }