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A Numerical Analysis to Study Whether the Early Termination of Reverse Mortgages is Rational

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  • Hyung-Suk Choi

    (School of Business, Ewha Womans University, Seodaemun-gu Ewhayeodae-gil 52, Seoul 03760, Korea)

Abstract

A reverse mortgage supports the aging society more sustainably by providing stable cash flows to elderly retirees. Although the reverse mortgage market has successfully grown in many developed countries, we have observed significantly increased early terminations due to the recent housing market boom in Korea. In this study, we provide the numerical solutions for the monthly payment from the actuarial pricing model of the reverse mortgage, reflecting the house price growth and mortality improvement to examine whether the early-termination-and-repurchase strategy is profitable. Findings suggest that in order for the strategy to be profitable, the realized growth rate of the house price should be significantly greater than the expected growth rate in the actuarial pricing model. Furthermore, for the older borrower, the greater growth rate of the house price is required for the strategy to be profitable.

Suggested Citation

  • Hyung-Suk Choi, 2019. "A Numerical Analysis to Study Whether the Early Termination of Reverse Mortgages is Rational," Sustainability, MDPI, vol. 11(23), pages 1-10, December.
    • Handle: RePEc:gam:jsusta:v:11:y:2019:i:23:p:6820-:d:292861
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    References listed on IDEAS

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    1. Thomas Davidoff, 2015. "Can "High Costs" Justify Weak Demand for the Home Equity Conversion Mortgage?," The Review of Financial Studies, Society for Financial Studies, vol. 28(8), pages 2364-2398.
    2. Sally R. Merrill & Meryl Finkel & Nandinee K. Kutty, 1994. "Potential Beneficiaries from Reverse Mortgage Products for Elderly Homeowners: An Analysis of American Housing Survey Data," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 257-299, June.
    3. Hui Shan, 2011. "Reversing the Trend: The Recent Expansion of the Reverse Mortgage Market," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 39(4), pages 743-768, December.
    4. Daniel Alai & Hua Chen & Daniel Cho & Katja Hanewald & Michael Sherris, 2014. "Developing Equity Release Markets: Risk Analysis for Reverse Mortgages and Home Reversions," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 217-241.
    5. Peter Chinloy & Isaac F. Megbolugbe, 1994. "Reverse Mortgages: Contracting and Crossover Risk," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 367-386, June.
    6. Makoto Nakajima & Irina A. Telyukova, 2017. "Reverse Mortgage Loans: A Quantitative Analysis," Journal of Finance, American Finance Association, vol. 72(2), pages 911-950, April.
    7. Bradford Case & Ann B. Schnare, 1994. "Preliminary Evaluation of the HECM Reverse Mortgage Program," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 301-346, June.
    8. Johnny Siu‐Hang Li & Mary R. Hardy & Ken Seng Tan, 2010. "On Pricing and Hedging the No‐Negative‐Equity Guarantee in Equity Release Mechanisms," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 499-522, June.
    9. Chen, Hua & Cox, Samuel H. & Wang, Shaun S., 2010. "Is the Home Equity Conversion Mortgage in the United States sustainable? Evidence from pricing mortgage insurance premiums and non-recourse provisions using the conditional Esscher transform," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 371-384, April.
    10. Hosty, G. M. & Groves, S. J. & Murray, C. A. & Shah, M., 2008. "Pricing and Risk Capital in the Equity Release Market," British Actuarial Journal, Cambridge University Press, vol. 14(1), pages 41-91, March.
    11. 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.
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    Cited by:

    1. Chunil Kim & Hyobi Choi & Yeol Choi, 2021. "Retirement Age and Housing Consumption: The Case of South Korea," Sustainability, MDPI, vol. 13(3), pages 1-21, January.

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