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Theory and Application of an Economic Performance Measure of Risk

Cuizhen Niu, Xu Guo (), Michael McAleer and Wing-Keung Wong ()
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Cuizhen Niu: Beijing Normal University, China

No 17-055/III, Tinbergen Institute Discussion Papers from Tinbergen Institute

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 dfference of EPMs for two independent samples. We also derive the asymptotic distribution for EPM and for the dfference 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 one-sample and two-sample confidence intervals of EPMs for Singapore and USA stock indices.

Keywords: Economic performance measure; Asymptotic confidence interval; Bootstrap-based confidence interval; Method of variance estimates recovery (search for similar items in EconPapers)
JEL-codes: C12 C15 (search for similar items in EconPapers)
Date: 2017-06-23
New Economics Papers: this item is included in nep-sea
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Citations: View citations in EconPapers (9) Track citations by RSS feed

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