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The Pricing of Multiclass Commercial Mortgage-Backed Securities

Author

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  • Childs, Paul D.
  • Ott, Steven H.
  • Riddiough, Timothy J.

Abstract

This paper considers the pricing of multiclass commercial mortgage-backed securities. A contingent-claims pricing methodology that overcomes state variable dimensionality problems is developed to examine mortgage pools with many distinct underlying assets and whose loan cash flow values are subject to interest rate uncertainty. Security structure and the correlation structure of collateralizing assets within a pool are found to be important determinants of tranche price and required yield spread. By disentangling default loss risk from default-related call risk, we show it is possible that mezzanine investment classes may require lower yield spreads than higher priority investment classes. Of particular interest is the finding that reduced cash flow volatility obtained through pool diversification may actually decrease the value of the first-loss (junior) tranche. When examining the relationship of pool size and tranche value, we find that five to 10 distinct mortgages are required to realize most of the effects of asset diversification.

Suggested Citation

  • 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.
    • Handle: RePEc:cup:jfinqa:v:31:y:1996:i:04:p:581-603_02
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    Cited by:

    1. Gianluca Marcato & Giovanni Alberto Tira, 2009. "Driving Factors in Pricing European CMBS: Bond, Mortgage and Real Estate Characteristics," ERES eres2009_145, European Real Estate Society (ERES).
    2. Gang-Zhi Fan & Ming Pu & Seow Ong, 2012. "Optimal Portfolio Choices, House Risk Hedging and the Pricing of Forward House Transactions," The Journal of Real Estate Finance and Economics, Springer, vol. 45(1), pages 3-29, June.
    3. Vink, Dennis, 2007. "An Empirical Analysis of Asset-Backed Securitization," MPRA Paper 10382, University Library of Munich, Germany, revised 25 Aug 2008.
    4. Franke, Günter & Herrmann, Markus & Weber, Thomas, 2007. "Information asymmetries and securitization design," CoFE Discussion Papers 07/10, University of Konstanz, Center of Finance and Econometrics (CoFE).
    5. Gang-Zhi Fan & Tien Sing & Seow Ong, 2012. "Default Clustering Risks in Commercial Mortgage-Backed Securities," The Journal of Real Estate Finance and Economics, Springer, vol. 45(1), pages 110-127, June.
    6. Zhan Liu & Gang-Zhi Fan & Kian Lim, 2009. "Extreme Events and the Copula Pricing of Commercial Mortgage-Backed Securities," The Journal of Real Estate Finance and Economics, Springer, vol. 38(3), pages 327-349, April.
    7. 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.
    8. Andreas Gintschel & Andreas Hackethal, 2004. "Multi-bank loan pool contracts: enhancing the profitability of small commercial banks," Applied Financial Economics, Taylor & Francis Journals, vol. 14(17), pages 1239-1252.
    9. Miguel Á. Peña-Cerezo & Arturo Rodríguez-Castellanos & Francisco J. Ibáñez-Hernández, 2019. "Multi-tranche securitisation structures: more than just a zero-sum game?," The European Journal of Finance, Taylor & Francis Journals, vol. 25(2), pages 167-189, January.
    10. Peimin Chen & Igor Kozhanov & Peng Liu & Chunchi Wu, 2021. "Commercial Mortgage‐Backed Security Pricing with Real Estate Liquidity Risk," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 49(S2), pages 490-525, September.
    11. Vink, Dennis, 2007. "ABS, MBS and CDO compared: an empirical analysis," MPRA Paper 10381, University Library of Munich, Germany, revised 09 Sep 2008.
    12. Driessen, Joost & Van Hemert, Otto, 2012. "Pricing of commercial real estate securities during the 2007–2009 financial crisis," Journal of Financial Economics, Elsevier, vol. 105(1), pages 37-61.
    13. J. Sa-Aadu & James Shilling & George Wang, 2000. "A Test of Integration and Cointegration of Commercial Mortgage Rates," Journal of Financial Services Research, Springer;Western Finance Association, vol. 18(1), pages 45-61, October.
    14. 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.

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