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Valuation of Mortgage Servicing Rights with Foreclosure Delay and Forbearance Allowed

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Abstract

We develop a bivariate binomial model to price Mortgage Servicing Rights (MSRs). Our model is an improvement over previous MSR pricing models by explicitly incorporating the realistic assumptions that there are additional costs involved in servicing delinquent loans. In addition to the Hilliard et al. mortgage-pricing tree, we extend additional sub-branches to model the borrower's decision of prepayment, cure, and foreclosure after a loan becomes delinquent. We then investigate how the value of the Mortgage Servicing Right varies with interest rate volatility, house price volatility, delinquency options, deficiency judgments, default penalties, forbearance periods, and speed of adjustments factors.

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References

  • Aldrich, S. P. B., W. R. Greenberg and B. S. Payner, “A Capital Markets View of Mortgage Servicing Rights.” Journal of Fixed Income 11, 37–54 (2000).

    Google Scholar 

  • Angbazo, L. A., J. J. McConnell, I. F. Megbolugbe and T. T. Yang, “Mortgage Prepayment Float: Pricing and Risk Analysis.” Journal of Fixed Income, 83–93 (1998).

  • Ambrose, B. W. and R. J. Buttimer, “Embedded Options in the Mortgage Contract.” Journal of Real Estate Finance & Economics 2, 95–111 (2000).

    Google Scholar 

  • Brown, S., L., Hayre, K. Lauterbach, R. Payne and T. Zimmerman, “Analysis of Mortgage Servicing Portfolios.” Journal of Fixed Income 2, 60–76 (1992).

    Google Scholar 

  • Buttimer, R. J. and C. C. Lin, “Valuing U.S. and Canadian Mortgage Servicing Rights.” Journal of Housing Economics, forthcoming (2005).

  • Cox, J. C., J. E. Ingersoll, Jr. and S. A., Ross, “A Theory of the Term Structure of Interest Rates.” Econometrica 53, 385–407 (1985).

    Google Scholar 

  • Hilliard, J. E., J. B. Kau and V. C. Slawson, “Valuing Prepayment and Default in a Fixed-Rate Mortgage: A Bivariate Binomial Option Pricing Technique.” Real Estate Economics 26, 431–468 (1998).

    Article  Google Scholar 

  • Kau, J. B., D. C. Keenan, W. J. Muller III and J. F. Epperson, “The Value at Origination of Fixed-Rate Mortgages with Default and Prepayment.” Journal of Real Estate Finance and Economics 11, 5–36 (1994).

    Google Scholar 

  • Lin, C. C. and L. C. Ho “Valuing Individual Mortgage Servicing Contracts: A Comparison between Fixed-Rate Mortgages and Adjustable-Rate Mortgages.” Review of Pacific Basin and Financial Markets and Policies, forthcoming (2005).

  • McConnell, J. J., “Valuation of a Mortgage Company's Servicing Portfolio.” Journal of Financial and Quantitative Analysis 11, 433–53 (1976).

    Google Scholar 

  • Van Drunen, L. D. and J. J. McConnell, “Valuing Mortgage Loan Servicing.” Journal of Real Estate Finance and Economics 1, 5–22 (1988).

    Google Scholar 

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Correspondence to Che-Chun Lin.

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JEL Classification: C15, G21

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Lin, CC., Chu, TH. & Prather, L.J. Valuation of Mortgage Servicing Rights with Foreclosure Delay and Forbearance Allowed. Rev Quant Finan Acc 26, 41–54 (2006). https://doi.org/10.1007/s11156-006-7032-3

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  • DOI: https://doi.org/10.1007/s11156-006-7032-3

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