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Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities

Author

Listed:
  • Elisa Luciano

    (Collegio Carlo Alberto and NETSPAR, Università di Torino, Torino 10134, Italy)

  • Jaap Spreeuw

    (Faculty of Actuarial Science and Insurance, Cass Business School, City University London, London EC1V 0HB, UK)

  • Elena Vigna

    (Collegio Carlo Alberto and CeRP, Università di Torino, Torino 10134, Italy)

Abstract

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.

Suggested Citation

  • Elisa Luciano & Jaap Spreeuw & Elena Vigna, 2016. "Spouses’ Dependence across Generations and Pricing Impact on Reversionary Annuities," Risks, MDPI, vol. 4(2), pages 1-18, May.
    • Handle: RePEc:gam:jrisks:v:4:y:2016:i:2:p:16-:d:70862
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    References listed on IDEAS

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    2. Biffis, Enrico, 2005. "Affine processes for dynamic mortality and actuarial valuations," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 443-468, December.
    3. Luciano, Elisa & Spreeuw, Jaap & Vigna, Elena, 2008. "Modelling stochastic mortality for dependent lives," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 234-244, October.
    4. Manzoli, Lamberto & Villari, Paolo & M Pirone, Giovanni & Boccia, Antonio, 2007. "Marital status and mortality in the elderly: A systematic review and meta-analysis," Social Science & Medicine, Elsevier, vol. 64(1), pages 77-94, January.
    5. Eran Shor & David Roelfs & Misty Curreli & Lynn Clemow & Matthew Burg & Joseph Schwartz, 2012. "Widowhood and Mortality: A Meta-Analysis and Meta-Regression," Demography, Springer;Population Association of America (PAA), vol. 49(2), pages 575-606, May.
    6. Schrager, David F., 2006. "Affine stochastic mortality," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 81-97, February.
    7. MacMinn Richard & Wang Jennifer & Blake David, 2008. "Longevity Risk and Capital Markets: The 2007-2008 Update," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-6, September.
    8. Dahl, Mikkel, 2004. "Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 35(1), pages 113-136, August.
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    Cited by:

    1. Agnieszka Marciniuk & Emília Zimková & Vlastimil Farkašovský & Colin W. Lawson, 2020. "Valuation of Equity Release Contracts in Czech Republic, Republic of Poland and Slovak Republic," Prague Economic Papers, Prague University of Economics and Business, vol. 2020(5), pages 505-521.
    2. Jevtić, P. & Hurd, T.R., 2017. "The joint mortality of couples in continuous time," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 90-97.
    3. Agnieszka Marciniuk & Emília Zimková & Vlastimil Farkašovský & Colin W. Lawson, . "Valuation of Equity Release Contracts in Czech Republic, Republic of Poland and Slovak Republic," Prague Economic Papers, University of Economics, Prague, vol. 0.
    4. Manuel Ventura-Marco & Carlos Vidal-Meliá & Juan Manuel Pérez-Salamero González, 2022. "Life care annuities to help couples cope with the cost of long-term care," Documentos de Trabajo del ICAE 2022-03, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    5. Kira Henshaw & Corina Constantinescu & Olivier Menoukeu Pamen, 2020. "Stochastic Mortality Modelling for Dependent Coupled Lives," Risks, MDPI, vol. 8(1), pages 1-28, February.
    6. Joanna Dębicka & Stanisław Heilpern & Agnieszka Marciniuk, 2023. "Pricing Marriage Insurance with Mortality Dependence," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 15(1), pages 31-64, March.

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