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Securitization of Longevity Risk in Reverse Mortgages

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  • Liang Wang
  • Emiliano Valdez
  • John Piggott

Abstract

The reverse mortgage market has been expanding rapidly in developed economies in recent years. The onset of demographic transition places a rapidly rising number of households in an age window in which reverse mortgages have potential appeal. Increasing prices for residential real estate over the last decade have further stimulated interest.Reverse mortgages involve various risks from the provider-s perspective that may hinder the further development of these financial products. This paper addresses one method of transferring and financing the risks associated with these products through the form of securitization. Securitization is becoming a popular and attractive alternative form of risk transfer of insurance liabilities. Here we demonstrate how to construct a securitization structure for reverse mortgages similar to the one applied in traditional insurance products.Specifically, we investigate the merits of developing survivor bonds and survivor swaps for reverse mortgage products. In the case of survivor bonds, for example, we are able to compute premiums, both analytically and numerically through simulations, and to examine how the longevity risk may be transferred to the financial investors. Our numerical calculations provide an indication of the economic benefits derived from developing survivor bonds to securitize the “longevity risk component” of reverse mortgage products. Moreover, some sensitivity analysis of these economic benefits indicates that these survivor bonds provide for a promising tool for investment diversification.

Suggested Citation

  • Liang Wang & Emiliano Valdez & John Piggott, 2008. "Securitization of Longevity Risk in Reverse Mortgages," North American Actuarial Journal, Taylor & Francis Journals, vol. 12(4), pages 345-371.
  • Handle: RePEc:taf:uaajxx:v:12:y:2008:i:4:p:345-371
    DOI: 10.1080/10920277.2008.10597529
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    Citations

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    Cited by:

    1. Tyson Lamarra & Aaron Bruhn & Michael Miller, 2023. "Stochastic modelling of the home equity access scheme," Australian Journal of Management, Australian School of Business, vol. 48(3), pages 652-677, August.
    2. Shao, Adam W. & Hanewald, Katja & Sherris, Michael, 2015. "Reverse mortgage pricing and risk analysis allowing for idiosyncratic house price risk and longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 76-90.
    3. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    4. Emilia Lorenzo & Gabriella Piscopo & Marilena Sibillo & Roberto Tizzano, 2021. "Reverse mortgages through artificial intelligence: new opportunities for the actuaries," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 23-35, June.
    5. E. Lorenzo & G. Piscopo & M. Sibillo, 2024. "Addressing the economic and demographic complexity via a neural network approach: risk measures for reverse mortgages," Computational Management Science, Springer, vol. 21(1), pages 1-22, June.
    6. Yang, Bowen & Li, Jackie & Balasooriya, Uditha, 2015. "Using bootstrapping to incorporate model error for risk-neutral pricing of longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 16-27.
    7. Jackie Li & Atsuyuki Kogure & Jia Liu, 2019. "Multivariate Risk-Neutral Pricing of Reverse Mortgages under the Bayesian Framework," Risks, MDPI, vol. 7(1), pages 1-12, January.
    8. Katja Hanewald & Michael Sherris, 2011. "House Price Risk Models for Banking and Insurance Applications," Working Papers 201118, ARC Centre of Excellence in Population Ageing Research (CEPAR), Australian School of Business, University of New South Wales.
    9. Lee, Yung-Tsung & Kung, Ko-Lun & Liu, I-Chien, 2018. "Profitability and risk profile of reverse mortgages: A cross-system and cross-plan comparison," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 255-266.

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