%0 Journal Article
%@ 0324-8569
%A Michalowski, W.
%A Ogryczak, W.
%D 1999
%F iiasa:13569
%I Systems Reseach Institute of the Polish Academy of Sciences
%J Control and Cybernetics
%K Downside risk aversion; Linear programming; Portfolio optimization
%N 4
%P 725-738
%T A recursive procedure for selecting optimal portfolio according to the MAD model
%U https://pure.iiasa.ac.at/id/eprint/13569/
%V 28
%X 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.