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

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  • 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

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  • 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
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Schwartz, Eduardo S & Torous, Walter N, 1989. " Prepayment and the Valuation of Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 44(2), pages 375-392, June.
    8. 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.
    9. 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).
    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.
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    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.

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