Operations Management and Econometrics

Translation-invariant and positive homogeneous risk measures and optimal portfolio management

Professor Zinoviy Landsman, University of Haifa

27th Aug 2010  11:00 am - Room 498, Merewether Building

The problem of risk portfolio optimization with translation-invariant and
positive-homogeneous risk measures, important representatives of which are value-at-risk (VaR) and tail conditional expectation (TCE), leads for the case of elliptical multivariate underlying distributions to the problem of minimizing a combination of a linear functional and the square root of a quadratic functional. In this paper we provide a simple and feasible condition under which the optimal solution exists, and the explicit closed- form solution of this minimization problem is provided prior to this condition. The results are illustrated using data of 10 stocks from NASDAQ/Computers. The closeness between the VaR and TCE optimal portfolios is investigated.