RT Journal Article SR 00 A1 Michalowski, W. A1 Ogryczak, W. T1 A recursive procedure for selecting optimal portfolio according to the MAD model JF Control and Cybernetics YR 1999 FD 1999 VO 28 IS 4 SP 725 OP 738 K1 Downside risk aversion; Linear programming; Portfolio optimization AB 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. PB Systems Reseach Institute of the Polish Academy of Sciences SN 0324-8569 LK https://pure.iiasa.ac.at/id/eprint/13569/ UL http://control.ibspan.waw.pl:3000/contents/show/80?year=1999