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Securitisation of Crossover Risk in Reverse Mortgages

Author

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  • Hong-Chih Huang

    (Department of Risk Management and Insurance, Research Fellow of Risk and Insurance Research Center, National Chengchi University, Taipei, Taiwan.)

  • Chou-Wen Wang

    (Department of Risk Management and Insurance, National Kaohsiung First University of Science and Technology, No. 2 Jhuoyue Road, Nanzih District, Kaohsiung 811, Taiwan.)

  • Yuan-Chi Miao

    (Department of Risk Management and Insurance, National Chengchi University, No. 64, Sec.2, ZhiNan Road, Wenshan District, Taipei City 11605, Taiwan.)

Abstract

When the outstanding balance exceeds the housing value before the loan is settled, the insurer suffers an exposure to crossover risk induced by three risk factors: interest rates, house prices and mortality rates. With consideration of housing price risk, interest rate risk and longevity risk, we provide a three-dimensional lattice method that simultaneously captures the evolution of housing prices and short-term interest rates to calculate the fair valuation of reverse mortgages numerically. For a reverse mortgage insurer, the premium structure of reverse mortgage insurance is determined by setting the present value of the total expected claim losses equal to the present value of the premium charges. However, when the actual loss is higher than the expected loss, the insurer will incur an unexpected loss. To offset the potential loss, we also design two types of crossover bonds to transfer the unexpected loss to bond investors. Therefore, through the crossover bonds, reverse mortgage insurers can partially transfer crossover risk onto bond holders.

Suggested Citation

  • Hong-Chih Huang & Chou-Wen Wang & Yuan-Chi Miao, 2011. "Securitisation of Crossover Risk in Reverse Mortgages," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(4), pages 622-647, October.
    • Handle: RePEc:pal:gpprii:v:36:y:2011:i:4:p:622-647
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    Citations

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    Cited by:

    1. Wang, Chou-Wen & Yang, Sharon S. & Huang, Hong-Chih, 2015. "Modeling multi-country mortality dependence and its application in pricing survivor index swaps—A dynamic copula approach," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 30-39.
    2. 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.
    3. Tsai, Pei-Hsuan & Wang, Ying-Wei & Chang, Wen-Chang, 2023. "Hybrid MADM-based study of key risk factors in house-for-pension reverse mortgage lending in Taiwan's banking industry," Socio-Economic Planning Sciences, Elsevier, vol. 86(C).
    4. Blake, David & El Karoui, Nicole & Loisel, Stéphane & MacMinn, Richard, 2018. "Longevity risk and capital markets: The 2015–16 update," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 157-173.
    5. Marc Audi & Amjad Ali, 2023. "The Role of Environmental Conditions and Purchasing Power Parity in Determining Quality of Life among Big Asian Cities," International Journal of Energy Economics and Policy, Econjournals, vol. 13(3), pages 292-305, May.
    6. Ismaël Choinière Crèvecoeur & Pierre-Carl Michaud, 2021. "Low Demand for Reverse Mortgages in Canada: Price, Knowledge or Preferences?," Cahiers de recherche / Working Papers 2107, Chaire de recherche sur les enjeux économiques intergénérationnels / Research Chair in Intergenerational Economics.
    7. de la Fuente, Iván & Navarro, Eliseo & Serna, Gregorio, 2023. "Proposal for calculating regulatory capital requirements for reverse mortgages," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    8. Lee, Yung-Tsung & Wang, Chou-Wen & Huang, Hong-Chih, 2012. "On the valuation of reverse mortgages with regular tenure payments," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 430-441.
    9. Fuente, Iván de la & Navarro, Eliseo & Serna, Gregorio, 2021. "Estimating regulatory capital requirements for reverse mortgages. An international comparison," International Review of Economics & Finance, Elsevier, vol. 74(C), pages 239-252.
    10. Ismaël Choinière Crèvecoeur & Pierre-Carl Michaud, 2021. "Low Demand for Reverse Mortgages in Canada: Price, Knowledge or Preferences?," Cahiers de recherche / Working Papers 2107, Chaire de recherche sur les enjeux économiques intergénérationnels / Research Chair in Intergenerational Economics.
    11. 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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