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A more meaningful parameterization of the Lee–Carter model

Piet de Jong, Leonie Tickle and Jianhui Xu

Insurance: Mathematics and Economics, 2020, vol. 94, issue C, 1-8

Abstract: A new Lee–Carter model parameterization is introduced with two advantages. First, the Lee–Carter parameters are normalized such that they have a direct and intuitive interpretation, comparable across populations. Second, the model is stated in terms of the “needed-exposure” (NE). The NE is the number required in order to get one expected death and is closely related to the “needed-to-treat” measure used to communicate risks and benefits of medical treatments. In the new parameterization, time parameters are directly interpretable as an overall across-age NE. Age parameters are interpretable as age-specific elasticities: percentage changes in the NE at a particular age in response to a percent change in the overall NE. A similar approach can be used to confer interpretability on parameters of other mortality models.

Keywords: Mortality; Lee–Carter; Needed-exposure; Age–response; Age-specific elasticities (search for similar items in EconPapers)
JEL-codes: C14 C32 C51 J11 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:94:y:2020:i:c:p:1-8

DOI: 10.1016/j.insmatheco.2020.05.009

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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