Don’t use quotients to calculate performance

Quotients, ratios, are among the most applied tools for measuring performance of mutual funds and investment portfolios, the Jensen index being an exception to the general rule. In this paper, we show some problems that arise when quotients are applied, closely related to their statistical meaning,...

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Main Authors: Fernando Gómez-Bezares, Fernando R. Gómez-Bezares
Format: Article
Language:English
Published: Taylor & Francis Group 2015-12-01
Series:Cogent Economics & Finance
Subjects:
Online Access:http://dx.doi.org/10.1080/23322039.2015.1065584
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author Fernando Gómez-Bezares
Fernando R. Gómez-Bezares
author_facet Fernando Gómez-Bezares
Fernando R. Gómez-Bezares
author_sort Fernando Gómez-Bezares
collection DOAJ
description Quotients, ratios, are among the most applied tools for measuring performance of mutual funds and investment portfolios, the Jensen index being an exception to the general rule. In this paper, we show some problems that arise when quotients are applied, closely related to their statistical meaning, which is too often forgotten. We also raise some advantages of the use of linear penalization, introducing a little known methodology for performance measurement. With this purpose, this paper’s approach is comprehensive: we conceptually analyze performance indexes’ geometric and statistical meaning, complementing this with a numerical example and empirical testing that confirm our view. This paper’s main contribution is to demonstrate and empirically test how the use of quotients to measure performance may create problems due to their denominators, which may be solved by applying linear penalization.
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spelling doaj.art-eb30f2a905e345c9bd421b2147eb25572022-12-21T17:31:15ZengTaylor & Francis GroupCogent Economics & Finance2332-20392015-12-013110.1080/23322039.2015.10655841065584Don’t use quotients to calculate performanceFernando Gómez-Bezares0Fernando R. Gómez-Bezares1Deusto Business SchoolThe Boston Consulting GroupQuotients, ratios, are among the most applied tools for measuring performance of mutual funds and investment portfolios, the Jensen index being an exception to the general rule. In this paper, we show some problems that arise when quotients are applied, closely related to their statistical meaning, which is too often forgotten. We also raise some advantages of the use of linear penalization, introducing a little known methodology for performance measurement. With this purpose, this paper’s approach is comprehensive: we conceptually analyze performance indexes’ geometric and statistical meaning, complementing this with a numerical example and empirical testing that confirm our view. This paper’s main contribution is to demonstrate and empirically test how the use of quotients to measure performance may create problems due to their denominators, which may be solved by applying linear penalization.http://dx.doi.org/10.1080/23322039.2015.1065584performanceratiorisklinear penalization
spellingShingle Fernando Gómez-Bezares
Fernando R. Gómez-Bezares
Don’t use quotients to calculate performance
Cogent Economics & Finance
performance
ratio
risk
linear penalization
title Don’t use quotients to calculate performance
title_full Don’t use quotients to calculate performance
title_fullStr Don’t use quotients to calculate performance
title_full_unstemmed Don’t use quotients to calculate performance
title_short Don’t use quotients to calculate performance
title_sort don t use quotients to calculate performance
topic performance
ratio
risk
linear penalization
url http://dx.doi.org/10.1080/23322039.2015.1065584
work_keys_str_mv AT fernandogomezbezares dontusequotientstocalculateperformance
AT fernandorgomezbezares dontusequotientstocalculateperformance