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Profitability and risk profile of reverse mortgages: A cross-system and cross-plan comparison

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  • Lee, Yung-Tsung
  • Kung, Ko-Lun
  • Liu, I-Chien

Abstract

This study conducts a cross-system and cross-plan comparison of reverse mortgages. We compare the systematic distinctions and analyze the risk and profitability of reverse mortgages in two prominent types of market arrangements: (1) A market where a public external insurer exists (i.e., the Home Equity Conversion Mortgage program in the U.S. market). (2) A market where an external insurer is absent (i.e., the Australian market). Two typical payment plans, the lump-sum and annuity payment, are examined and compared using stochastic dominance criteria.

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  • 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.
  • Handle: RePEc:eee:insuma:v:78:y:2018:i:c:p:255-266
    DOI: 10.1016/j.insmatheco.2017.09.019
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    1. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    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. Ruth Hancock, 1998. "Can housing wealth alleviate poverty among Britain's older population?," Fiscal Studies, Institute for Fiscal Studies, vol. 19(3), pages 249-272, August.
    4. Edward J. Szymanoski, 1994. "Risk and the Home Equity Conversion Mortgage," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 347-366, June.
    5. 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.
    6. Ronald Lee & Timothy Miller, 2001. "Evaluating the performance of the lee-carter method for forecasting mortality," Demography, Springer;Population Association of America (PAA), vol. 38(4), pages 537-549, November.
    7. 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.
    8. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    9. Sharon S Yang, 2011. "Securitisation and Tranching Longevity and House Price Risk for Reverse Mortgage Products," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(4), pages 648-674, October.
    10. Larry Y. Tzeng & Rachel J. Huang & Pai-Ta Shih, 2013. "Revisiting Almost Second-Degree Stochastic Dominance," Management Science, INFORMS, vol. 59(5), pages 1250-1254, May.
    11. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    12. Turan G. Bali & Stephen J. Brown & K. Ozgur Demirtas, 2013. "Do Hedge Funds Outperform Stocks and Bonds?," Management Science, INFORMS, vol. 59(8), pages 1887-1903, August.
    13. Vijay S. Bawa, 1982. "Research Bibliography---Stochastic Dominance: A Research Bibliography," Management Science, INFORMS, vol. 28(6), pages 698-712, June.
    14. Mitchell, Olivia S. & Piggott, John, 2004. "Unlocking housing equity in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 18(4), pages 466-505, December.
    15. Thomas P. Boehm & Michael C. Ehrhardt, 1994. "Reverse Mortgages and Interest Rate Risk," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 387-408, June.
    16. 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.
    17. 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.
    18. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    19. Patrick Wilson & Simon Stevenson & Ralf Zurbruegg, 2007. "Foreign Property Shocks and the Impact on Domestic Securitized Real Estate Markets: An Unobserved Components Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 34(3), pages 407-424, April.
    20. 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.
    21. Barbarin, Jerome & Devolder, Pierre, 2005. "Risk measure and fair valuation of an investment guarantee in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 297-323, October.
    22. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    23. Taylor, Nick, 2014. "The rise and fall of technical trading rule success," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 286-302.
    24. Lastrapes, William D., 2002. "The Real Price of Housing and Money Supply Shocks: Time Series Evidence and Theoretical Simulations," Journal of Housing Economics, Elsevier, vol. 11(1), pages 40-74, March.
    25. Ilia Tsetlin & Robert L. Winkler & Rachel J. Huang & Larry Y. Tzeng, 2015. "Generalized Almost Stochastic Dominance," Operations Research, INFORMS, vol. 63(2), pages 363-377, April.
    26. Ming‐Chi Chen & Chia‐Chien Chang & Shih‐Kuei Lin & So‐De Shyu, 2010. "Estimation of Housing Price Jump Risks and Their Impact on the Valuation of Mortgage Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 399-422, June.
    27. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    28. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    29. 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.
    30. Barbara Stucki, 2006. "Using Reverse Mortgages to Manage the Financial Risk of Long-Term Care," North American Actuarial Journal, Taylor & Francis Journals, vol. 10(4), pages 90-102.
    31. Haim Levy & Moshe Leshno & Boaz Leibovitch, 2010. "Economically relevant preferences for all observed epsilon," Annals of Operations Research, Springer, vol. 176(1), pages 153-178, April.
    32. Brouhns, Natacha & Denuit, Michel & Vermunt, Jeroen K., 2002. "A Poisson log-bilinear regression approach to the construction of projected lifetables," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 373-393, December.
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    Cited by:

    1. 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.
    2. Carole Bernard & Adam Kolkiewicz & Junsen Tang, 2023. "Valuation of Reverse Mortgages with Default Risk Models," The Journal of Real Estate Finance and Economics, Springer, vol. 66(4), pages 806-839, May.
    3. Tripti Sharma & Declan French & Donal McKillop, 2022. "Risk and Equity Release Mortgages in the UK," The Journal of Real Estate Finance and Economics, Springer, vol. 64(2), pages 274-297, February.
    4. Yung-Tsung Lee & Tianxiang Shi, 2022. "Valuation of Reverse Mortgages with Surrender: A Utility Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 65(4), pages 593-621, November.
    5. Shi, Tianxiang & Lee, Yung-Tsung, 2021. "Prepayment risk in reverse mortgages: An intensity-governed surrender model," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 68-82.
    6. Badescu, Alexandru & Quaye, Enoch & Tunaru, Radu, 2022. "On non-negative equity guarantee calculations with macroeconomic variables related to house prices," Insurance: Mathematics and Economics, Elsevier, vol. 103(C), pages 119-138.
    7. Dowd, Kevin & Buckner, Dean & Blake, David & Fry, John, 2019. "The valuation of no-negative equity guarantees and equity release mortgages," Economics Letters, Elsevier, vol. 184(C).
    8. 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).
    9. 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.

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