Computing the Substantial-Gain–Loss-Ratio

  • Jan VoelzkeEmail author
  • Sebastian Mentemeier


The Substantial-Gain–Loss-Ratio (SGLR) was developed to overcome some drawbacks of the Gain–Loss-Ratio (GLR) as proposed by Bernardo and Ledoit (J Polit Econ 108(1):144–172, 2000). This is achieved by slightly changing the condition for a good-deal, i.e. on the most extreme but at the same time very small part of the state space. As an empirical performance measure the SGLR can naturally handle outliers and is not easily manipulated. Additionally, the robustness of performance is illuminated via so-called \(\beta \)-diagrams. In the present paper we propose an algorithm for the computation of the SGLR in empirical applications and discuss its potential usage for theoretical models as well. Finally, we present two exemplary applications of an SGLR-analysis on historic returns.


Substantial-Gain–Loss-Ratio Gain–Loss-Ratio Performance measure 



We thank Sascha Rüffer for his comprehensive editing of the manuscript. Furthermore, we thank Fabian Gößling for many helpful comments and discussions.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of EconomicsUniversity of MuensterMünsterGermany
  2. 2.Institut für Mathematik, Fachbereich 10, Mathematik und NaturwissenschaftenUniversität KasselKasselGermany

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