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
AbstractThe purpose of this paper is to build a modeling and pricing framework to investigate the sustainability of the Home Equity Conversion Mortgage (HECM) program in the United States under realistic economic scenarios, i.e., whether the premium payments cover the fair premiums for the inherent risks in the HECM program. We note that earlier HECM models use static mortality tables, neglecting the dynamics of mortality rates and extreme mortality jumps. The earlier models also assume housing prices follow a geometric Brownian motion, which contradicts the fact that housing prices exhibit strong autocorrelation and varying volatility over time. To solve these problems, we propose a generalized Lee-Carter model with asymmetric jump effects to fit the mortality data, and model the house price index via an ARIMA-GARCH process. We then employ the conditional Esscher transform to price the non-recourse provision of reverse mortgages and compare it with the calculated mortgage insurance premiums. The HECM program turns out to be sustainable based on our model setup and parameter settings.
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Bibliographic InfoArticle provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 46 (2010)
Issue (Month): 2 (April)
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Web page: http://www.elsevier.com/locate/inca/505554
Home Equity Conversion Mortgage (HECM) Non-recourse provision Mortality modeling Conditional Esscher transform;
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- 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.
- Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
- Goovaerts, Marc & Laeven, R., 2008.
"Actuarial risk measures for financial derivative pricing,"
Open Access publications from Katholieke Universiteit Leuven
urn:hdl:123456789/200996, Katholieke Universiteit Leuven.
- Goovaerts, Marc J. & Laeven, Roger J.A., 2008. "Actuarial risk measures for financial derivative pricing," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 540-547, April.
- Linneman, Peter, 1986. "An empirical test of the efficiency of the housing market," Journal of Urban Economics, Elsevier, vol. 20(2), pages 140-154, September.
- Badescu, Alex & Elliott, Robert J. & Siu, Tak Kuen, 2009. "Esscher transforms and consumption-based models," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 337-347, December.
- Hamilton, Bruce W. & Schwab, Robert M., 1985. "Expected appreciation in urban housing markets," Journal of Urban Economics, Elsevier, vol. 18(1), pages 103-118, July.
- Karl E. Case & Robert J. Shiller, 1989.
"The Efficiency of the Market for Single-Family Homes,"
NBER Working Papers
2506, National Bureau of Economic Research, Inc.
- Case, Karl E & Shiller, Robert J, 1989. "The Efficiency of the Market for Single-Family Homes," American Economic Review, American Economic Association, vol. 79(1), pages 125-37, March.
- Chinloy, Peter & Cho, Man & Megbolugbe, Isaac F, 1997. "Appraisals, Transaction Incentives, and Smoothing," The Journal of Real Estate Finance and Economics, Springer, vol. 14(1-2), pages 89-111, Jan.-Marc.
- 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.
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
- Lin, Yijia & Cox, Samuel H., 2008. "Securitization of catastrophe mortality risks," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 628-637, April.
- 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.
- Biffis, Enrico, 2005. "Affine processes for dynamic mortality and actuarial valuations," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 443-468, December.
- Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
- Jin-Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32.
- Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Hua Chen & Samuel H. Cox, 2009. "Modeling Mortality With Jumps: Applications to Mortality Securitization," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 727-751.
- David T. Rodda & Ken Lam & Andrew Youn, 2004. "Stochastic Modeling of Federal Housing Administration Home Equity Conversion Mortgages with Low-Cost Refinancing," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 32(4), pages 589-617, December.
- 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.
- 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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