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On Pricing and Hedging the No‐Negative‐Equity Guarantee in Equity Release Mechanisms

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  • Johnny Siu‐Hang Li
  • Mary R. Hardy
  • Ken Seng Tan

Abstract

In a roll‐up mortgage, the borrower receives a loan in the form of a lump sum. The loan is rolled up with interest until the borrower dies, sells the house, or moves into long‐term care permanently. The house is sold at that time, and the proceeds are used to repay the loan and interest. Most roll‐up mortgages are sold with a no‐negative‐equity guarantee (NNEG), which caps the redemption amount at the lesser of the face amount of the loan and the sale proceeds. The core of this study is to develop a framework for pricing and managing the risks of the NNEG.

Suggested Citation

  • 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.
  • Handle: RePEc:bla:jrinsu:v:77:y:2010:i:2:p:499-522
    DOI: 10.1111/j.1539-6975.2009.01344.x
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    References listed on IDEAS

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    1. David Blake & Andrew Cairns & Kevin Dowd & Richard MacMinn, 2006. "Longevity Bonds: Financial Engineering, Valuation, and Hedging," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 647-672, December.
    2. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    3. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    4. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    5. Robert J. Shiller & Allan N. Weiss, 2000. "Moral Hazard in Home Equity Conversion," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 28(1), pages 1-31.
    6. 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.
    7. Wilkie, A.D., 1995. "More on a Stochastic Asset Model for Actuarial Use," British Actuarial Journal, Cambridge University Press, vol. 1(5), pages 777-964, December.
    8. Jin‐Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32, January.
    9. Booth, P. M. & Marcato, G., 2004. "The Measurement and Modelling of Commercial Real Estate Performance," British Actuarial Journal, Cambridge University Press, vol. 10(1), pages 5-61, April.
    10. Booth, Philip & Walsh, Duncan, 2001. "An option pricing approach to valuing upward only rent review properties with multiple reviews," Insurance: Mathematics and Economics, Elsevier, vol. 28(2), pages 151-171, April.
    11. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    12. Russell Chaplin, 1997. "Unsmoothing valuation-based indices using multiple regimes," Journal of Property Research, Taylor & Francis Journals, vol. 14(3), pages 189-210, January.
    13. Quan, Daniel C & Quigley, John M, 1991. "Price Formation and the Appraisal Function in Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 4(2), pages 127-146, June.
    14. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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