IDEAS home Printed from https://ideas.repec.org/a/eee/jhouse/v25y2014icp39-52.html
   My bibliography  Save this article

An approximation approach for valuing reverse mortgages

Author

Listed:
  • Tsay, Jing-Tang
  • Lin, Che-Chun
  • Prather, Larry J.
  • Buttimer, Richard J.

Abstract

We derive an approximate pricing formula for use in reverse mortgage valuation that allows the house price and interest rate to be stochastic with a deterministic distribution of termination time. We compare the results from the approximate pricing formula to a simulation and find that the approximate pricing formula can significantly reduce computational intensity and provide a close approximation to simulation results. The approximation approach enables reverse mortgage holders to undertake complicated portfolio optimization and hedging analyses.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jhouse:v:25:y:2014:i:c:p:39-52
    DOI: 10.1016/j.jhe.2014.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1051137714000163
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jhe.2014.03.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Seungryul Ma & Yongheng Deng, 2006. "Insurance Premium Structure of Reverse Mortgage Loans in Korea," Working Paper 8568, USC Lusk Center for Real Estate.
    2. 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.
    3. 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.
    4. 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.
    5. Tyler Yang & Che-Chun Lin & Man Cho, 2011. "Collateral Risk in Residential Mortgage Defaults," The Journal of Real Estate Finance and Economics, Springer, vol. 42(2), pages 115-142, February.
    6. Linda S. Klein & C.F. Sirmans, 1994. "Reverse Mortgages and Prepayment Risk," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 409-431, June.
    7. Chan, K C, et al, 1992. "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
    8. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    9. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    10. 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.
    11. Thomas J. Miceli & C.F. Sirmans, 1994. "Reverse Mortgages and Borrower Maintenance Risk," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 22(2), pages 433-450, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kyung Jin Choi & Byungkwon Lim & Jaehwan Park, 2020. "Evaluation of the Reverse Mortgage Option in Korea: A Long Straddle Perspective," IJFS, MDPI, vol. 8(3), pages 1-14, September.
    2. Yang, Jaehwan & Yuh, Yoonkyung, 2019. "Reverse Mortgages for Managing Longevity Risk in Korea," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 60(1), pages 21-40, June.
    3. 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.
    4. Iván de la Fuente & Eliseo Navarro & Gregorio Serna, 2020. "Reverse Mortgage Risks. Time Evolution of VaR in Lump-Sum Solutions," Mathematics, MDPI, vol. 8(11), pages 1-17, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Shu Ling Chiang & Ming Shann Tsai & Chien An Wang, 2021. "Determining an Optimal Principal Limit Factor for Reverse Mortgages under Economics-Based Models," The Journal of Real Estate Finance and Economics, Springer, vol. 63(4), pages 565-597, November.
    3. Wei Han & Ping Wang & Hao Xu & June-Sung Choi, 2017. "Evaluation of the Reverse Mortgage Option in Hong Kong," Asian Economic Journal, East Asian Economic Association, vol. 31(2), pages 187-210, June.
    4. 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.
    5. Jing-Tang Tsay & Che-Chun Lin & Jerry T. Yang, 2018. "Pricing Mortgage-Backed Securities-First Hitting Time Approach," International Real Estate Review, Global Social Science Institute, vol. 21(4), pages 419-446.
    6. 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.
    7. Kimmel, Robert L., 2004. "Modeling the term structure of interest rates: A new approach," Journal of Financial Economics, Elsevier, vol. 72(1), pages 143-183, April.
    8. Podolskij, Mark & Vetter, Mathias, 2009. "Bipower-type estimation in a noisy diffusion setting," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2803-2831, September.
    9. Allan Jonathan da Silva & Jack Baczynskiy & José Valentim M. Vicente, 2015. "A Discrete Monitoring Method for Pricing Asian Interest Rate Options," Working Papers Series 409, Central Bank of Brazil, Research Department.
    10. Nowman, K. Ben & Sorwar, Ghulam, 2005. "Derivative prices from interest rate models: results for Canada, Hong Kong, and United States," International Review of Financial Analysis, Elsevier, vol. 14(4), pages 428-438.
    11. Takami, Marcelo Yoshio & Tabak, Benjamin Miranda, 2008. "Interest rate option pricing and volatility forecasting: An application to Brazil," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 755-763.
    12. Mahdavi, Mahnaz, 2008. "A comparison of international short-term rates under no arbitrage condition," Global Finance Journal, Elsevier, vol. 18(3), pages 303-318.
    13. Ilias Lekkos, 2003. "Cross‐sectional Restrictions on the Spot and Forward Term Structures of Interest Rates and Panel Unit Root Tests," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(5‐6), pages 799-828, June.
    14. Chen, Bin & Song, Zhaogang, 2013. "Testing whether the underlying continuous-time process follows a diffusion: An infinitesimal operator-based approach," Journal of Econometrics, Elsevier, vol. 173(1), pages 83-107.
    15. Das, Sanjiv Ranjan, 1998. "A direct discrete-time approach to Poisson-Gaussian bond option pricing in the Heath-Jarrow-Morton model," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 333-369, November.
    16. Mark Trede & Bernd Wilfling, 2007. "Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data," Empirical Economics, Springer, vol. 33(1), pages 23-39, July.
    17. Bu, Ruijun & Cheng, Jie & Hadri, Kaddour, 2016. "Reducible diffusions with time-varying transformations with application to short-term interest rates," Economic Modelling, Elsevier, vol. 52(PA), pages 266-277.
    18. Yu, Jun, 2012. "Bias in the estimation of the mean reversion parameter in continuous time models," Journal of Econometrics, Elsevier, vol. 169(1), pages 114-122.
    19. Spiros H. Martzoukos & Theodore M. Barnhill Jr., 1998. "The Survival Zone For A Bond With Both Call And Put Options Embedded," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 21(4), pages 419-430, December.
    20. Tse, Y.K., 1995. "Interest rate models and option pricing: A sensitivity analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 39(3), pages 431-436.

    More about this item

    Keywords

    G21; Reverse mortgage; Longevity risk; Option pricing;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jhouse:v:25:y:2014:i:c:p:39-52. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622881 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.