Arbeitspapier

Theory and Application of an Economic Performance Measure of Risk

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.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 17-055/III

Classification
Wirtschaft
Hypothesis Testing: General
Statistical Simulation Methods: General
Subject
Economic performance measure
Asymptotic confidence interval
Bootstrap-based confidence interval
Method of variance estimates recovery

Event
Geistige Schöpfung
(who)
Niu, Cuizhen
Guo, Xu
McAleer, Michael
Wong, Wing-keung
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2017

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Niu, Cuizhen
  • Guo, Xu
  • McAleer, Michael
  • Wong, Wing-keung
  • Tinbergen Institute

Time of origin

  • 2017

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