eprintid: 13569 rev_number: 8 eprint_status: archive userid: 353 dir: disk0/00/01/35/69 datestamp: 2016-08-04 08:58:09 lastmod: 2021-08-27 17:41:23 status_changed: 2016-08-04 08:58:09 type: article metadata_visibility: show creators_name: Michalowski, W. creators_name: Ogryczak, W. creators_id: AL1000 title: A recursive procedure for selecting optimal portfolio according to the MAD model ispublished: pub keywords: Downside risk aversion; Linear programming; Portfolio optimization 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. date: 1999 date_type: published publisher: Systems Reseach Institute of the Polish Academy of Sciences official_url: http://control.ibspan.waw.pl:3000/contents/show/80?year=1999 creators_browse_id: 2189 full_text_status: public publication: Control and Cybernetics volume: 28 number: 4 pagerange: 725-738 refereed: TRUE issn: 0324-8569 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: Michalowski, W. & Ogryczak, W. (1999). A recursive procedure for selecting optimal portfolio according to the MAD model. Control and Cybernetics 28 (4) 725-738. document_url: https://pure.iiasa.ac.at/id/eprint/13569/1/A%20recursive%20procedure%20for%20selecting%20optimal%20portfolio%20according%20to%20the%20MAD%20model.pdf