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On the impact of semidefinite positive correlation measures in portfolio theory

Sergio Ortobelli and Tomáš Tichý ()

Annals of Operations Research, 2015, vol. 235, issue 1, 625-652

Abstract: In this paper potential usage of different correlation measures in portfolio problems is studied. We characterize especially semidefinite positive correlation measures consistent with the choices of risk-averse investors. Moreover, we propose a new approach to portfolio selection problem, which optimizes the correlation between the portfolio and one or two market benchmarks. We also discuss why should correlation measures be used to reduce the dimensionality of large scale portfolio problems. Finally, through an empirical analysis, we show the impact of different correlation measures on portfolio selection problems and on dimensionality reduction problems. In particular, we compare the ex post sample paths of several portfolio strategies based on different risk measures and correlation measures. Copyright Springer Science+Business Media New York 2015

Keywords: Concordance measure; Dimensionality reduction; Large scale portfolio selection; Reward measure; Semidefinite positive association measure; 1G10; 15A03; 80M50 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10479-015-1962-x

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