Different Risk-Adjusted Fund Performance Measures

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Referee Report for Economics Manuscript # 385 “Different Risk-Adjusted Fund Performance Measures: A Comparison”

Summary This paper compares various risk-adjusted performance measures for a set of mutual funds. The authors argue that performance measures based on Value-at-Risk (VaR) or Extreme Value Theory (EVT) are more appropriate than other popular performance measures such as the Sharpe ratio (SR), the Treynor index (TI) or Jensen´s Alpha (JA) . They propose a performance index similar to the SR and the TI based on losses calculated by means of VaR together with EVT. They find that EVT-VaR measures are more appropriate in the presence of non-normal data.

Main Comments The topic of the paper is of relevance for financial practitioners as well as academics and it is certainly applicable to the current financial stability context. The paper is also generally wellwritten. However, I have some comments for its improvement. 1. The contribution of the paper is not clearly stated. In the 6th paragraph of the introduction, the authors suggest that their main contribution is the construction of a performance index based on EVT-VAR. However, it is not very clear why the new proposed measure should be better in relation to existing measures as it is now explained. It is true that VaR or EVT should be more reliable measures for extreme events but when looking at formula (13) it is not apparent why this measure should be more reliable than the traditional measures. The denominator has, in fact, an “extreme return” as opposed to the SR or TI which have strictly second moments, so it is not very straight forward to relate these measures. A better job should be done at explaining the implications of such VaR based measure, how it relates to other measures and why it should be better. 2. Why have the measures been compared only in a “static” way? It is widely known in the finance literature that asset return volatility is time-varying, and to some extent, also expected...
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