Love and death: A Freund model with frailty - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Insurance: Mathematics and Economics Année : 2015

Love and death: A Freund model with frailty

Résumé

We introduce new models for analyzing the mortality dependence between individuals in a couple. The mortality risk dependence is usually taken into account in the actuarial literature by introducing special copulas with continuous density. This practice implies symmetric effects on the remaining lifetime of the surviving spouse. The new model allows for both asymmetric reactions by means of a Freund model, and risk dependence by means of an unobservable common risk factor (or frailty). These models allow for distinguishing in the lifetime dependence the component due to common lifetime (frailty) from the jump in mortality intensity upon death of spouse (Freund model). The model is applied to the pricing of insurance products such as joint life policy, last survivor insurance, or contracts with reversionary annuities. A discussion of identification is also provided.
Fichier principal
Vignette du fichier
Love and Death_CG.pdf (834.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02419013 , version 1 (20-12-2019)

Identifiants

Citer

Christian Gouriéroux, Yang Lu. Love and death: A Freund model with frailty. Insurance: Mathematics and Economics, 2015, 63, pp.191-203. ⟨10.1016/j.insmatheco.2015.03.016⟩. ⟨hal-02419013⟩
50 Consultations
98 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More