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Default and prepayment modelling in participating mortgages

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  • Varli, Yusuf
  • Yildirim, Yildiray

Abstract

Since the 2008 financial crisis, the mortgage market has been renovating its tools and instruments in order to avoid a new crisis. One such innovative instrument is the participating mortgage, in which the lender gains part of the net operating income and/or future appreciation. In this paper, we establish a financing model for participating mortgages, incorporating early termination options such as default and two prepayment clauses, defeasance and prepayment penalty. Later, we illustrate a detailed sensitivity analysis of the model. The values of early termination options depend on the choice of parameters in the model, as well as the term structure of short term rates. Finally, we show that a participation rate of 11.24% results in zero mortgage interest rate using the parameters in our simulation.

Suggested Citation

  • Varli, Yusuf & Yildirim, Yildiray, 2015. "Default and prepayment modelling in participating mortgages," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 81-88.
  • Handle: RePEc:eee:jbfina:v:61:y:2015:i:c:p:81-88
    DOI: 10.1016/j.jbankfin.2015.09.003
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    References listed on IDEAS

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    1. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    2. Timothy J. Riddiough & Howard E. Thompson, 1993. "Commercial Mortgage Pricing with Unobservable Borrower Default Costs," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(3), pages 265-291.
    3. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. " Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    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. Ebrahim, M. Shahid & Shackleton, Mark B. & Wojakowski, Rafal M., 2011. "Participating mortgages and the efficiency of financial intermediation," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 3042-3054, November.
    7. Jaime Alvayay & Charles Harter & WM. Smith, 2005. "A Theoretic Analysis of Extent of Lender Participation in a Participating Mortgage," Review of Quantitative Finance and Accounting, Springer, vol. 25(4), pages 383-411, December.
    8. Ambrose, Brent W & Sanders, Anthony B, 2003. "Commercial Mortgage-Backed Securities: Prepayment and Default," The Journal of Real Estate Finance and Economics, Springer, vol. 26(2-3), pages 179-196, March-May.
    9. M. Shahid Ebrahim, 1996. "On the Design and Pareto-Optimality of Participating Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 24(3), pages 407-419.
    10. Martin Dierker & Daniel Quan & Walter Torous, 2005. "Valuing the Defeasance Option in Securitized Commercial Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 33(4), pages 663-680, December.
    11. Kau, James B, et al, 1992. "A Generalized Valuation Model for Fixed-Rate Residential Mortgages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(3), pages 279-299, August.
    12. Pennacchi, George G, 1988. " Loan Sales and the Cost of Bank Capital," Journal of Finance, American Finance Association, vol. 43(2), pages 375-396, June.
    13. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    14. Shahid Ebrahim, M. & Hussain, Sikandar, 2010. "Financial development and asset valuation: The special case of real estate," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 150-162, January.
    15. 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.
    16. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
    17. 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.
    18. Brian A. Ciochetti & Kerry D. Vandell, 1999. "The Performance of Commercial Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 27(1), pages 27-61.
    19. Kerry D. Vandell & Walter Barnes & David Hartzell & Dennis Kraft & William Wendt, 1993. "Commercial Mortgage Defaults: Proportional Hazards Estimation Using Individual Loan Histories," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(4), pages 451-480.
    20. Jimmy E. Hilliard & James B. Kau & V. Carlos Slawson, 1998. "Valuing Prepayment and Default in a Fixed-Rate Mortgage: A Bivariate Binomial Options Pricing Technique," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 26(3), pages 431-468.
    21. 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.
    22. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
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    Cited by:

    1. Lok Man Michel Tong & Gianluca Marcato, 2018. "Modelling Competitive Mortgage Termination Option Strategies: Default vs Restructuring and Prepayment vs Defeasance," ERES eres2018_300, European Real Estate Society (ERES).

    More about this item

    Keywords

    Participating mortgages; Credit risk; Prepayment risk;

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General

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