IDEAS home Printed from https://ideas.repec.org/a/kap/jrefec/v46y2013i3p480-515.html
   My bibliography  Save this article

A Top-Down Approach for Asset-Backed Securities: A Consistent Way of Managing Prepayment, Default and Interest Rate Risks

Author

Listed:
  • Jean-David Fermanian

Abstract

We define a new approach to manage prepayment, default and interest rate risks simultaneously in some standard asset-backed securities structures. We propose a parsimonious top-down approach, by modeling directly the portfolio loss process and the amortization process. Both are correlated to interest rates. The methodology is specified for sequential- and pro-rata pay bonds (ABS, CMO, CDO of ABS), cash or synthetic. We prove analytical formulas to price all tranches, under and without the simplifying assumption that amortization occurs in the most senior tranche only. The model behavior is illustrated through the empirical analysis of an actual synthetic ABS trade. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • 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.
    • Handle: RePEc:kap:jrefec:v:46:y:2013:i:3:p:480-515
    DOI: 10.1007/s11146-011-9331-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11146-011-9331-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11146-011-9331-2?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. McConnell, John J & Singh, Manoj, 1994. "Rational Prepayments and the Valuation of Collateralized Mortgage Obligations," Journal of Finance, American Finance Association, vol. 49(3), pages 891-921, July.
    2. 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.
    3. repec:bla:jfinan:v:44:y:1989:i:2:p:375-92 is not listed on IDEAS
    4. Deng, Yongheng, 1997. "Mortgage Termination: An Empirical Hazard Model with a Stochastic Term Structure," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 309-331, May.
    5. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    6. Yongheng Deng & John M. Quigley & Robert Van Order, 2000. "Mortgage Terminations, Heterogeneity and the Exercise of Mortgage Options," Econometrica, Econometric Society, vol. 68(2), pages 275-308, March.
    7. James Kau & Donald Keenan & Alexey Smurov, 2006. "Reduced Form Mortgage Pricing as an Alternative to Option-Pricing Models," The Journal of Real Estate Finance and Economics, Springer, vol. 33(3), pages 183-196, November.
    8. Dunn, Kenneth B & McConnell, John J, 1981. "A Comparison of Alternative Models for Pricing GNMA Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 36(2), pages 471-484, May.
    9. 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.
    10. Childs, Paul D. & Ott, Steven H. & Riddiough, Timothy J., 1996. "The Pricing of Multiclass Commercial Mortgage-Backed Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(4), pages 581-603, December.
    11. Dunn, Kenneth B & McConnell, John J, 1981. "Valuation of GNMA Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 36(3), pages 599-616, June.
    12. John J. McConnell & Manoj Singh, 1993. "Valuation and Analysis of Collateralized Mortgage Obligations," Management Science, INFORMS, vol. 39(6), pages 692-709, June.
    13. Kau, James B. & Keenan, Donald C. & Muller III, Walter J. & Epperson, James F., 1995. "The Valuation at Origination of Fixed-Rate Mortgages with Default and Prepayment," The Journal of Real Estate Finance and Economics, Springer, vol. 11(1), pages 5-36, July.
    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. Lautier, Jackson P. & Pozdnyakov, Vladimir & Yan, Jun, 2023. "Pricing time-to-event contingent cash flows: A discrete-time survival analysis approach," Insurance: Mathematics and Economics, Elsevier, vol. 110(C), pages 53-71.
    2. Qiming Zhang & Linda Yin-nor Tjia & Biyue Wang & Aksel Ersoy, 2021. "Sustainable Construction and Financing—Asset-Backed Securitization of Expressway’s Usufruct with Redeemable Rights," Sustainability, MDPI, vol. 13(16), pages 1-17, August.

    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. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    2. Agarwal, Sumit & Ambrose, Brent W. & Chomsisengphet, Souphala & Liu, Chunlin, 2006. "An empirical analysis of home equity loan and line performance," Journal of Financial Intermediation, Elsevier, vol. 15(4), pages 444-469, October.
    3. 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.
    4. James Kau & Donald Keenan & Xiaowei Li, 2011. "An Analysis of Mortgage Termination Risks: A Shared Frailty Approach with MSA-Level Random Effects," The Journal of Real Estate Finance and Economics, Springer, vol. 42(1), pages 51-67, January.
    5. Chao Ma & Hao Zhang & Hongbiao Zhao, 2023. "Securitization of assets with payment delay risk: A financial innovation in the real estate market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(4), pages 480-515, April.
    6. Andrew Kalotay & Deane Yang & Frank J. Fabozzi, 2004. "An Option-Theoretic Prepayment Model For Mortgages And Mortgage-Backed Securities," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(08), pages 949-978.
    7. Lu Fang, 2020. "Mortgage Pricing Implications of Prepayment: Separating Pecuniary and Non-pecuniary Prepayment," The Journal of Real Estate Finance and Economics, Springer, vol. 60(3), pages 239-269, April.
    8. 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.
    9. Steinbuks, Jevgenijs, 2015. "Effects of prepayment regulations on termination of subprime mortgages," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 445-456.
    10. Matteo Bissiri & Riccardo Cogo, 2017. "Behavioral Value Adjustments," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-37, December.
    11. Francis A. Longstaff, 2004. "Optimal Recursive Refinancing and the Valuation of Mortgage-Backed Securities," NBER Working Papers 10422, National Bureau of Economic Research, Inc.
    12. Jonathan B. Dressler & Jeffrey R. Stokes, 2010. "Survival analysis and mortgage termination at AgChoice ACA," Agricultural Finance Review, Emerald Group Publishing Limited, vol. 70(1), pages 21-36, May.
    13. Scott Robertson & Zhe Cheng, 2015. "Endogenous Current Coupons," Papers 1510.02010, arXiv.org.
    14. Hawkins, Raymond J., 2011. "Lending sociodynamics and economic instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4355-4369.
    15. Yongheng Deng & Peng Liu, 2009. "Mortgage Prepayment and Default Behavior with Embedded Forward Contract Risks in China’s Housing Market," The Journal of Real Estate Finance and Economics, Springer, vol. 38(3), pages 214-240, April.
    16. Che-Chun Lin & Ting-Heng Chu & Larry J. Prather & Perry Wang, 2005. "Mortgage Curtailment and Default," International Real Estate Review, Global Social Science Institute, vol. 8(1), pages 95-109.
    17. Andreas D. Christopoulos & Robert A. Jarrow & Yildiray Yildirim, 2008. "Commercial Mortgage‐Backed Securities (CMBS) and Market Efficiency with Respect to Costly Information," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(3), pages 441-498, September.
    18. Eickholt, Mathias & Entrop, Oliver & Wilkens, Marco, 2014. "Individual investors and suboptimal early exercises in the fixed-income market," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe 14, University of Passau, Faculty of Business and Economics.
    19. Ahmad, F. & Hambly, B.M. & Ledger, S., 2018. "A stochastic partial differential equation model for the pricing of mortgage-backed securities," Stochastic Processes and their Applications, Elsevier, vol. 128(11), pages 3778-3806.
    20. Niels Rom-Poulsen, 2007. "Semi-analytical MBS Pricing," The Journal of Real Estate Finance and Economics, Springer, vol. 34(4), pages 463-498, May.

    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:46:y:2013:i:3:p:480-515. 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: 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.