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Estimating regulatory capital requirements for reverse mortgages. An international comparison

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  • Fuente, Iván de la
  • Navarro, Eliseo
  • Serna, Gregorio

Abstract

In this paper, we estimate the value of the no-negative-equity guarantee (NNEG) embedded in reverse mortgage contracts and develop a method for calculating regulatory capital requirements according to Basel II and III. We employ a Monte Carlo simulation method that assumes an ARMA-EGARCH process for house prices in four European countries: France, Germany, Spain and the United Kingdom. The results show different estimated values for the NNEG among countries. Specifically, the value of the NNEG tends to be related to the level of the interest rates, the rental yield and house price volatility in each country, as well as the age of the borrower. Different values for value-at-risk and the expected shortfall among countries are also found, which depend on the volatility of each country’s house price series.

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  • 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.
    • Handle: RePEc:eee:reveco:v:74:y:2021:i:c:p:239-252
    DOI: 10.1016/j.iref.2021.03.001
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    References listed on IDEAS

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    1. 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.
    2. David M. Geltner, 1993. "Estimating Market Values from Appraised Values without Assuming an Efficient Market," Journal of Real Estate Research, American Real Estate Society, vol. 8(3), pages 325-346.
    3. 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.
    4. David Geltner, 1993. "Temporal Aggregation in Real Estate Return Indices," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(2), pages 141-166, June.
    5. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    6. Chia-Chien Chang & Chou-Wen Wang & Chih-Yuan Yang, 2012. "The Effects of Macroeconomic Factors on Pricing Mortgage Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(3), pages 867-895, September.
    7. 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.
    8. Cho Daniel & Hanewald Katja & Sherris Michael, 2015. "Risk Analysis for Reverse Mortgages with Different Payout Designs," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 9(1), pages 77-105, January.
    9. 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.
    10. 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.
    11. 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.
    12. Fisher, Jeffrey D & Geltner, David M & Webb, R Brian, 1994. "Value Indices of Commercial Real Estate: A Comparison of Index Construction Methods," The Journal of Real Estate Finance and Economics, Springer, vol. 9(2), pages 137-164, September.
    13. Atsuyuki Kogure & Jackie Li & Shinichi Kamiya, 2014. "A Bayesian Multivariate Risk-Neutral Method for Pricing Reverse Mortgages," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 242-257.
    14. 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.
    15. Tsay, Jing-Tang & Lin, Che-Chun & Prather, Larry J. & Buttimer, Richard J., 2014. "An approximation approach for valuing reverse mortgages," Journal of Housing Economics, Elsevier, vol. 25(C), pages 39-52.
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    Cited by:

    1. 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).
    2. 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).

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    More about this item

    Keywords

    Reverse mortgages; Option pricing; No-negative-equity guarantee; Mortality modeling; House price modeling; Regulatory capital requirements;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination
    • R3 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location

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