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Bringing parametric mortality indexes to practice: a generalized CBD model with stochastic socioeconomic differentials in mortality improvements

Author

Listed:
  • Kenneth Q. Zhou

    (Arizona State University)

  • Johnny S.-H. Li

    (The Chinese University of Hong Kong)

  • Pintao Lyu

    (Tilburg University)

Abstract

The concept of CBD mortality indexes was proposed in 2014. While it has been shown that the use of CBD mortality indexes can effectively reduce longevity risk exposures in idealized settings, the risk mitigation potential of such indexes in a more realistic environment, whereby, for example, population basis risk exists, is yet to be investigated. This research gap is addressed in this paper through the development of a generalized CBD model with stochastic socioeconomic differentials in mortality improvements. The proposed model incorporates possible co-integration effects between mortality dynamics of socioeconomic subgroups and the general population, and features a form of coherence that is less restrictive than the typically assumed full coherence. This paper is concluded with various numerical experiments that are conducted to demonstrate the possible bias in hedge effectiveness that may be resulted if the key features of the proposed model are altered.

Suggested Citation

  • Kenneth Q. Zhou & Johnny S.-H. Li & Pintao Lyu, 2024. "Bringing parametric mortality indexes to practice: a generalized CBD model with stochastic socioeconomic differentials in mortality improvements," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 49(2), pages 295-319, April.
    • Handle: RePEc:pal:gpprii:v:49:y:2024:i:2:d:10.1057_s41288-024-00318-z
    DOI: 10.1057/s41288-024-00318-z
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    References listed on IDEAS

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    1. Wen, Jie & Cairns, Andrew J.G. & Kleinow, Torsten, 2021. "Fitting multi-population mortality models to socio-economic groups," Annals of Actuarial Science, Cambridge University Press, vol. 15(1), pages 144-172, March.
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    4. Wai-Sum Chan & Johnny Li & Jackie Li, 2014. "The CBD Mortality Indexes: Modeling and Applications," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 38-58.
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    7. Tan, Chong It & Li, Jackie & Li, Johnny Siu-Hang & Balasooriya, Uditha, 2014. "Parametric mortality indexes: From index construction to hedging strategies," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 285-299.
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    9. Johnny Siu-Hang Li & Jackie Li & Uditha Balasooriya & Kenneth Q. Zhou, 2021. "Constructing Out-of-the-Money Longevity Hedges Using Parametric Mortality Indexes," North American Actuarial Journal, Taylor & Francis Journals, vol. 25(S1), pages 341-372, February.
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    12. Kenneth Q. Zhou & Johnny Siu-Hang Li, 2021. "Longevity Greeks: What Do Insurers and Capital Market Investors Need to Know?," North American Actuarial Journal, Taylor & Francis Journals, vol. 25(S1), pages 66-96, February.
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