IDEAS home Printed from https://ideas.repec.org/a/kap/jrefec/v19y1999i2p133-46.html
   My bibliography  Save this article

A Closed Form Formula for Valuing Mortgages

Author

Listed:
  • Collin-Dufresne, P
  • Harding, John P

Abstract

We develop a closed form formula for the value of a fixed-rate residential mortgage that includes the provision that the borrower can prepay at any time with no penalty. The value of the mortgage equals the expectation, under the risk neutral probability measure, of the future cash flows. We model future cash flows by estimating an empirical model of prepayment behavior. A second change of measure leads to a closed form expression for the expectation. The closed form values explain most of the time series variation in MBS prices. The closed form formula significantly shortens the time to calculate mortgage values and durations and can be a useful tool for portfolio management and hedging. Copyright 1999 by Kluwer Academic Publishers

Suggested Citation

  • Collin-Dufresne, P & Harding, John P, 1999. "A Closed Form Formula for Valuing Mortgages," The Journal of Real Estate Finance and Economics, Springer, vol. 19(2), pages 133-146, September.
  • Handle: RePEc:kap:jrefec:v:19:y:1999:i:2:p:133-46
    as

    Download full text from publisher

    File URL: http://journals.kluweronline.com/issn/0895-5638/contents
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

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


    Cited by:

    1. 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.
    2. Xudong An & John Clapp & Yongheng Deng, 2010. "Omitted Mobility Characteristics and Property Market Dynamics: Application to Mortgage Termination," The Journal of Real Estate Finance and Economics, Springer, vol. 41(3), pages 245-271, October.
    3. Hyeongjun Kim & Hoon Cho & Doojin Ryu, 2018. "Characteristics of Mortgage Terminations: an Analysis of a Loan-Level Dataset," The Journal of Real Estate Finance and Economics, Springer, vol. 57(4), pages 647-676, November.
    4. Chiang, Shu Ling & Yang, Tyler T. & Tsai, Ming Shann, 2016. "Assessing mortgage servicing rights using a reduced-form model: Considering the effects of interest rate risks, prepayment and default risks, and random state variables," Journal of Housing Economics, Elsevier, vol. 32(C), pages 29-46.
    5. Erwin Charlier & Arjan Van Bussel, 2003. "Prepayment Behavior of Dutch Mortgagors: An Empirical Analysis," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 31(2), pages 165-204, June.
    6. Niels Rom-Poulsen, 2007. "Semi-analytical MBS Pricing," The Journal of Real Estate Finance and Economics, Springer, vol. 34(4), pages 463-498, May.
    7. Goldberg, Gerson M. & Harding, John P., 2003. "Investment characteristics of low- and moderate-income mortgage loans," Journal of Housing Economics, Elsevier, vol. 12(3), pages 151-180, September.
    8. Charlier, E. & van Bussel, A., 2001. "Prepayment Behavior of Dutch Mortgagors : An Empirical Analysis," Other publications TiSEM f67bea78-954d-4407-b05d-0, Tilburg University, School of Economics and Management.
    9. Tsai, Ming-Shann & Liao, Szu-Lang & Chiang, Shu-Ling, 2009. "Analyzing yield, duration and convexity of mortgage loans under prepayment and default risks," Journal of Housing Economics, Elsevier, vol. 18(2), pages 92-103, June.
    10. Szu‐Lang Liao & Ming‐Shann Tsai & Shu‐Ling Chiang, 2008. "Closed‐Form Mortgage Valuation Using Reduced‐Form Model," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(2), pages 313-347, June.
    11. Jean-David Fermanian, 2013. "A Top-Down Approach for Asset-Backed Securities: A Consistent Way of Managing Prepayment, Default and Interest Rate Risks," The Journal of Real Estate Finance and Economics, Springer, vol. 46(3), pages 480-515, April.

    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:kap:jrefec:v:19:y:1999:i:2:p:133-46. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.