Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities

This paper studies the dependence between coupled lives, i.e., the spouses’ dependence, across different generations, and its effects on prices of reversionary annuities in the presence of longevity risk. Longevity risk is represented via a stochastic mortality intensity. We find that a generation-b...

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Main Authors: Elisa Luciano, Jaap Spreeuw, Elena Vigna
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Risks
Subjects:
Online Access:http://www.mdpi.com/2227-9091/4/2/16
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author Elisa Luciano
Jaap Spreeuw
Elena Vigna
author_facet Elisa Luciano
Jaap Spreeuw
Elena Vigna
author_sort Elisa Luciano
collection DOAJ
description This paper studies the dependence between coupled lives, i.e., the spouses’ dependence, across different generations, and its effects on prices of reversionary annuities in the presence of longevity risk. Longevity risk is represented via a stochastic mortality intensity. We find that a generation-based model is important, since spouses’ dependence decreases when passing from older generations to younger generations. The independence assumption produces quantifiable mispricing of reversionary annuities, with different effects on different generations. The research is conducted using a well-known dataset of double life contracts.
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spelling doaj.art-a185fbb075324fb4b6a36dcf7a4ad1872022-12-21T18:48:06ZengMDPI AGRisks2227-90912016-05-01421610.3390/risks4020016risks4020016Spouses’ Dependence across Generations and Pricing Impact on Reversionary AnnuitiesElisa Luciano0Jaap Spreeuw1Elena Vigna2Collegio Carlo Alberto and NETSPAR, Università di Torino, Torino 10134, ItalyFaculty of Actuarial Science and Insurance, Cass Business School, City University London, London EC1V 0HB, UKCollegio Carlo Alberto and CeRP, Università di Torino, Torino 10134, ItalyThis paper studies the dependence between coupled lives, i.e., the spouses’ dependence, across different generations, and its effects on prices of reversionary annuities in the presence of longevity risk. Longevity risk is represented via a stochastic mortality intensity. We find that a generation-based model is important, since spouses’ dependence decreases when passing from older generations to younger generations. The independence assumption produces quantifiable mispricing of reversionary annuities, with different effects on different generations. The research is conducted using a well-known dataset of double life contracts.http://www.mdpi.com/2227-9091/4/2/16stochastic mortalitygeneration effectreversionary annuitycopulagoodness-of-fit
spellingShingle Elisa Luciano
Jaap Spreeuw
Elena Vigna
Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
Risks
stochastic mortality
generation effect
reversionary annuity
copula
goodness-of-fit
title Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
title_full Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
title_fullStr Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
title_full_unstemmed Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
title_short Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities
title_sort spouses dependence across generations and pricing impact on reversionary annuities
topic stochastic mortality
generation effect
reversionary annuity
copula
goodness-of-fit
url http://www.mdpi.com/2227-9091/4/2/16
work_keys_str_mv AT elisaluciano spousesdependenceacrossgenerationsandpricingimpactonreversionaryannuities
AT jaapspreeuw spousesdependenceacrossgenerationsandpricingimpactonreversionaryannuities
AT elenavigna spousesdependenceacrossgenerationsandpricingimpactonreversionaryannuities