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A New approximation of annuity prices for age period cohort models

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001  MAP20240016746
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008  241016e20241508che|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
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100  ‎$0‎MAPA20190008310‎$a‎Bégin, Jean-François
24512‎$a‎A New approximation of annuity prices for age period cohort models‎$c‎Jean-François Bégin, Nikhil Kapoor & Bárbara Sanders
300  ‎$a‎697 - 703 p.
500  ‎$a‎A Publisher Correction to this article was published
520  ‎$a‎This letter presents a new general formula for estimating annuity prices within a wide range of stochastic mortality models. The formula is constructed using two building blocks: an approximation technique based on the WentzelKramersBrillouin method for calculating the sum of correlated lognormal random variables, and an approximate expression for the moment generating function of the lognormal distribution. Notably, this formula is applicable to virtually all ageperiodcohort models where period effects are represented by vector autoregressive models. This broad assumption encompasses the majority of existing stochastic mortality models in literature. Through a numerical illustration, we also demonstrate the reliability and precision of our new method in determining annuity prices
650 4‎$0‎MAPA20080573614‎$a‎Renta vitalicia
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080555306‎$a‎Mortalidad
650 4‎$0‎MAPA20080555016‎$a‎Longevidad
7001 ‎$0‎MAPA20240022181‎$a‎Kapoor, Nikhil
7001 ‎$0‎MAPA20240022198‎$a‎Sanders, Barbara
7730 ‎$w‎MAP20220007085‎$g‎15/08/2024 Volumen 14 - Número 2 - agosto 2024 ‎$t‎European Actuarial Journal‎$d‎Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022
7870 ‎$w‎MAP20240016739‎$a‎Bégin, Jean-François‎$t‎ A New approximation of annuity prices for ageperiodcohort models