Abstract
Managed portfolio performance evaluation is an important issue from both academics’ and investors’ points of view. One important aspect concerns the choice of the measure used to assess performance, because each index offers a different perspective about the trade-off between return level and risk exposure. A related crucial issue is the stability of measures over time and, hence, their predictive power about future results. In this work, we address the problem of evaluating of the stability of a performance measure. First, we discuss the use of alternative criteria to measure stability and propose a stability index based on changes of ranks over several periods of time. We also propose a statistical test to evaluate the homogeneity of the stability of alternative performance measures. Second, we suggest a composite performance measure, built as a linear combination of various indexes, specifically conceived to be maximally stable over time while preserving information about risk-adjusted return behavior. An application to a set of US mutual funds belonging to the Large Blend category shows how these methods work.
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References
Aftalion F., Poncet P.: Les techniques de mesure de performance. Economica, Paris (2003)
Ammann M., Verhofen M.: The impact of prior performance on the risk-taking of mutual fund managers. Ann Finance 5, 69–90 (2009)
Beckers S., Thomas J.A.: On the persistence of style returns. J Portf Manag 37(1), 15–30 (2010)
Benjamini Y., Hochberg Y.: Controlling the false discovery rate: a practical and powerful approach to multiple testing. J R Stat Soc B 57, 289–300 (1995)
Benos E., Jochec M.: Short term persistence in mutual fund market timing and stock selection abilities. Ann Finance 7(2), 221–246 (2011)
Bodson L., Coën A., Hübner G.: How stable are the major performance measures?. J Perform Meas 13(1), 21–30 (2008)
Bollen N.P.B., Busse J.A.: Short-term persistence in mutual fund performance. Rev Financial Stud 18(2), 569–597 (2005)
Broihanne M.E., Merli M., Roger P.: On the robustness of mutual funds ranking with an index of relative efficiency. Banque & Marchés 94, 32–42 (2008)
Brown S.J., Goetzmann W.N.: Performance persistence. J Finance 50(2), 679–698 (1995)
Carhart M.: On persistence in mutual fund performance. J Finance 52(1), 57–82 (1997)
Cogneau P., Hübner G.: The (more than) 100 ways to measure portfolio performance part 1: standardized risk-adjusted measures. J Perform Meas 13, 56–71 (2009a)
Cogneau P., Hübner G.: The (more than) 100 ways to measure portfolio performance part 2: special measures and comparison. J Perform Meas 14, 56–69 (2009b)
Diaconis P., Graham R.L.: Spearman’s footrule as a measure of disarray. J R Stat Soc (B) 39, 262–268 (1977)
Eling M.: Does the measure matter in the mutual fund industry?. Financial Anal J 64(3), 54–66 (2008)
Elton E.J., Gruber M.J., Blake C.R.: Survivorship bias and mutual fund performance. Rev Financial Stud 9(4), 1097–1120 (1996a)
Elton E.J., Gruber M.J., Blake C.R.: The persistence of risk-adjusted mutual fund performance. J Bus 69(2), 133–157 (1996b)
Ernst M.D.: Permutation methods: a basis for exact inference. Stat Sci 19(4), 676–685 (2004)
Genest C., Neslehová J., Ben Ghorbal N.: Spearman’s footrule and Gini’s gamma revisited. J Nonparametric Stat 22, 937–954 (2010)
Huber P.J.: Projection pursuit. Ann Stat 13(2), 435–525 (1985)
Hübner G.: How do performance measures perform?. J Portf Manag 33, 64–74 (2007)
Le Sourd V.: Performance measurement for traditional investment. Financial Anal J 58(4), 36–52 (2007)
Menardi G., Lisi F.: On the stability of performance measures over time: an empirical study. J Perform Meas (2012, forthcoming)
Tuzov N., Viens F.: Mutual fund performance: false discoveries, bias, and power. Ann Finance 7(2), 137–169 (2011)
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Menardi, G., Lisi, F. Are performance measures equally stable?. Ann Finance 8, 553–570 (2012). https://doi.org/10.1007/s10436-012-0189-y
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DOI: https://doi.org/10.1007/s10436-012-0189-y