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Fuzzy risk adjusted performance measures: application to Hedge funds

Alfred Mbairadjim Moussa, Jules Sadefo Kamdem and Michel Terraza

Working Papers from LAMETA, Universtiy of Montpellier

Abstract: In this paper, following the notion of probabilistic risk adjusted performance measures; we introduce that of fuzzy risk adjusted measures (FRAM). In order to deal efficiently with the closing-based returns bias induced by market microstructure noise, as well as to handle their uncertain variability, we combine fuzzy set theory and probability theory. The returns are first represented as fuzzy random variables and then used in defining fuzzy versions of some adjusted performance measures. Using a recent ordering method for fuzzy numbers, we propose a ranking of funds based on these fuzzy performance measures. Finally, empirical studies carried out on fifty French Hedge Funds confirm the effectiveness and give the benefits of our approach over the classical performance ratios.

Pages: 23 pages
Date: 2012-09, Revised 2012-09
New Economics Papers: this item is included in nep-rmg and nep-upt
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Citations: View citations in EconPapers (6)

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