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Dynamic robust Orlicz premia and Haezendonck–Goovaerts risk measures

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  • Bellini, Fabio
  • Laeven, Roger J.A.
  • Rosazza Gianin, Emanuela

Abstract

In this paper we extend to a dynamic setting the robust Orlicz premia and Haezendonck–Goovaerts risk measures introduced in Bellini, Laeven and Rosazza Gianin (2018). We extensively analyze the properties of the resulting dynamic risk measures. Furthermore, we characterize dynamic Orlicz premia that are time-consistent, and establish some relations between the time-consistency properties of dynamic robust Orlicz premia and the corresponding dynamic robust Haezendonck–Goovaerts risk measures.

Suggested Citation

  • Bellini, Fabio & Laeven, Roger J.A. & Rosazza Gianin, Emanuela, 2021. "Dynamic robust Orlicz premia and Haezendonck–Goovaerts risk measures," European Journal of Operational Research, Elsevier, vol. 291(2), pages 438-446.
    • Handle: RePEc:eee:ejores:v:291:y:2021:i:2:p:438-446
    DOI: 10.1016/j.ejor.2019.08.049
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    Cited by:

    1. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2023. "Law-Invariant Return and Star-Shaped Risk Measures," Papers 2310.19552, arXiv.org.
    2. Mucahit Aygun & Fabio Bellini & Roger J. A. Laeven, 2023. "Elicitability of Return Risk Measures," Papers 2302.13070, arXiv.org, revised Mar 2023.
    3. Gómez, Fabio & Tang, Qihe & Tong, Zhiwei, 2022. "The gradient allocation principle based on the higher moment risk measure," Journal of Banking & Finance, Elsevier, vol. 143(C).
    4. Marcelo Brutti Righi & Fernanda Maria Muller & Marlon Ruoso Moresco, 2022. "A risk measurement approach from risk-averse stochastic optimization of score functions," Papers 2208.14809, arXiv.org, revised May 2023.
    5. Zou, Zhenfeng & Wu, Qinyu & Xia, Zichao & Hu, Taizhong, 2023. "Adjusted Rényi entropic Value-at-Risk," European Journal of Operational Research, Elsevier, vol. 306(1), pages 255-268.
    6. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2023. "Dynamic Return and Star-Shaped Risk Measures via BSDEs," Papers 2307.03447, arXiv.org, revised Jul 2023.
    7. Roger J. A. Laeven & Emanuela Rosazza Gianin, 2022. "Quasi-Logconvex Measures of Risk," Papers 2208.07694, arXiv.org.

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