Theory and Application of an Economic Performance Measure of Risk

Cuizhen Niu, Xu Guo (), Wing-Keung Wong and Michael McAleer
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Cuizhen Niu: School of Statistics, Beijing Normal University, Beijing.

No 2017-18, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: Homm and Pigorsch (2012a) use the Aumann and Serrano index to develop a new economic performance measure (EPM), which is well known to have advantages over other measures. In this paper, we extend the theory by constructing a one-sample confidence interval of EPM, and construct confidence intervals for the difference of EPMs for two independent samples. We also derive the asymptotic distribution for EPM and for the difference of two EPMs when the samples are independent. We conduct simulations to show the proposed theory performs well for one and two independent samples. The simulations show that the proposed approach is robust in the dependent case. The theory developed is used to construct both onesample and two-sample confidence intervals of EPMs for Singapore and USA stock indices.

Keywords: Economic performance measure; Asymptotic confidence interval; Bootstrapbased confidence interval; Method of variance estimates recovery. (search for similar items in EconPapers)
JEL-codes: C12 C15 (search for similar items in EconPapers)
Pages: 44 pages
Date: 2017-06
New Economics Papers: this item is included in nep-rmg and nep-sea
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https://eprints.ucm.es/id/eprint/43464/1/1718.pdf (application/pdf)

Related works:
Journal Article: Theory and application of an economic performance measure of risk (2018)
Working Paper: Theory and Application of an Economic Performance Measure of Risk (2017)
Working Paper: Theory and Application of an Economic Performance Measure of Risk (2017)
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