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On Double Value at Risk

Author

Listed:
  • Wanbing Zhang

    (School of Science, Nanjing University of Science and Technology, Nanjing 210094, China)

  • Sisi Zhang

    (Securities Co., Ltd., Beijing 102627, China
    These authors contributed equally to this work.)

  • Peibiao Zhao

    (School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
    These authors contributed equally to this work.)

Abstract

Value at Risk (VaR) is used to illustrate the maximum potential loss under a given confidence level, and is just a single indicator to evaluate risk ignoring any information about income. The present paper will generalize one-dimensional VaR to two-dimensional VaR with income-risk double indicators. We first construct a double-VaR with ( μ , σ 2 ) (or ( μ , V a R 2 ) ) indicators, and deduce the joint confidence region of ( μ , σ 2 ) (or ( μ , V a R 2 ) ) by virtue of the two-dimensional likelihood ratio method. Finally, an example to cover the empirical analysis of two double-VaR models is stated.

Suggested Citation

  • Wanbing Zhang & Sisi Zhang & Peibiao Zhao, 2019. "On Double Value at Risk," Risks, MDPI, vol. 7(1), pages 1-22, March.
    • Handle: RePEc:gam:jrisks:v:7:y:2019:i:1:p:31-:d:212298
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    References listed on IDEAS

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