IDEAS home Printed from https://ideas.repec.org/a/bla/reesec/v30y2002i2p185-211.html
   My bibliography  Save this article

UK Fixed Rate Repayment Mortgage and Mortgage Indemnity Valuation

Author

Listed:
  • José A. Azevedo‐Pereira
  • David P. Newton
  • Dean A. Paxson

Abstract

We use a mean‐reverting interest rate model and a lognormal house price diffusion model to evaluate British fixed rate repayment mortgage contracts with (embedded) default and prepayment options. The model also provides values for capped mortgage indemnity guarantees and the corresponding (residual) lender’s coinsurance. Since the partial differential equation incorporating the general features of these mortgage contracts does not have a closed‐form solution, an explicit finite difference method is used for the valuation (and sensitivity) results, with solution improvements to deal with error bounds. Then we provide graphical representations of each mortgage component as a function of house prices and interest rate levels, along with interpretations of the analysis. We calculate precisely the lender’s (residual) exposure to house price risk, given the borrower’s options, house and interest rate uncertainty, and customary mortgage indemnity insurance for high loan/collateral ratio mortgages.

Suggested Citation

  • José A. Azevedo‐Pereira & David P. Newton & Dean A. Paxson, 2002. "UK Fixed Rate Repayment Mortgage and Mortgage Indemnity Valuation," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(2), pages 185-211.
    • Handle: RePEc:bla:reesec:v:30:y:2002:i:2:p:185-211
    DOI: 10.1111/1540-6229.00037
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1540-6229.00037
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1540-6229.00037?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
    ---><---

    Citations

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


    Cited by:

    1. Isil Erol & Kanak Patel, 2007. "Pricing the Default Option of Inflation-Indexed Mortgages Using Explicit Finite Difference Method," International Real Estate Review, Global Social Science Institute, vol. 10(1), pages 48-92.
    2. Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    3. Nicholas Sharp & David Newton & Peter Duck, 2008. "An Improved Fixed-Rate Mortgage Valuation Methodology with Interacting Prepayment and Default Options," The Journal of Real Estate Finance and Economics, Springer, vol. 36(3), pages 307-342, April.
    4. Patel, Nimesh & Daglish, Toby, 2011. "Fixed come hell or high water? Selection and prepayment of fixed rate mortgages outside the US," Working Paper Series 4107, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    5. Cristina Viegas & Jos� Azevedo-Pereira, 2012. "Mortgage valuation: a quasi-closed-form solution," Quantitative Finance, Taylor & Francis Journals, vol. 12(7), pages 993-1001, May.
    6. Lanot, Gauthier & Leece, David, 2010. "The Performance of UK Securitized Subprime Mortgage Debt: ‘Idiosyncratic’ Behaviour or Mortgage Design?," MPRA Paper 27137, University Library of Munich, Germany.
    7. repec:vuw:vuwscr:19215 is not listed on IDEAS
    8. Ming Shann Tsai & Shu Ling Chiang, 2015. "A General Pricing Model for a Mortgage Insurance Contract Considering the Effects of Multivariate Random Variables on Termination Probabilities and Loss Rate," Housing Policy Debate, Taylor & Francis Journals, vol. 25(2), pages 289-307, April.
    9. Nicholas Sharp & Paul Johnson & David Newton & Peter Duck, 2009. "A New Prepayment Model (with Default): An Occupation-time Derivative Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 39(2), pages 118-145, August.
    10. Sanders, Anthony B. & Slawson, V. Jr., 2005. "Shared appreciation mortgages: Lessons from the UK," Journal of Housing Economics, Elsevier, vol. 14(3), pages 178-193, September.
    11. Sanders, Anthony B. & Slawson, V. Carlos, Jr., 2005. "Shared Appreciation Mortgages: Lessons from the UK," Working Paper Series 2005-16, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    12. Calvo-Garrido, María del Carmen & Vázquez, Carlos, 2015. "Effects of jump-diffusion models for the house price dynamics in the pricing of fixed-rate mortgages, insurance and coinsurance," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 730-742.

    More about this item

    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:bla:reesec:v:30:y:2002:i:2:p:185-211. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/areueea.html .

    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.