Woodhead Behavior and the Pricing of Residential Mortgages
Mortgage terminations arise because borrowers exercise options. This paper investigates the apparently irrational behavior of those borrowers who do not terminate their mortgages even when the exercise value of the option is deeply in the money. We develop an option-based empirical model to analyze this phenomenon -- the behavior of irrational or boundedly rational â€œwoodheads.â€ Of course we do not observe â€œwoodheadsâ€ explicitly in any body of data. Instead, we analyze the correlates of unobserved heterogeneity within a large sample of mortgage holders. We develop a three-stage maximum likelihood (3SML) estimator using martingale transforms to estimate the competing risks of mortgage prepayment and default, recognizing unobserved heterogeneity which is due in part to the behavior of â€œwoodheads.â€ The extended model is clearly superior to alternatives on statistical grounds. We then analyze the economic implications of this more powerful model. We analyze the predictions of the model for the valuation and pricing of mortgage pools and mortgage-backed securities. Based upon an extensive Monte Carlo simulation, we find that the 3SML model yields prices for seasoned mortgage pools that deviate by 0.7 to 2 percent from more primitive estimates. The results indicate the empirical importance of heterogeneity and the implications of non-optimizing behavior for the valuation and pricing of mortgages and mortgage-backed securities.
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- Stanton, Richard Henry, 1996. "Unobservable Heterogeneity and Rational Learning: Pool-Specific versus Generic Mortgage-Backed Security Prices," The Journal of Real Estate Finance and Economics, Springer, vol. 12(3), pages 243-63, May.
- Karl E. Case & Robert J. Shiller, 1987.
"Prices of Single Family Homes Since 1970: New Indexes for Four Cities,"
NBER Working Papers
2393, National Bureau of Economic Research, Inc.
- Karl E. Case & Robert J. Shiller, 1987. "Prices of single-family homes since 1970: new indexes for four cities," New England Economic Review, Federal Reserve Bank of Boston, issue Sep, pages 45-56.
- Karl E. Case & Robert J. Shiller, 1987. "Prices of Single Family Homes Since 1970: New Indexes for Four Cities," Cowles Foundation Discussion Papers 851, Cowles Foundation for Research in Economics, Yale University.
- Hall, Arden, 2000. "Controlling for Burnout in Estimating Mortgage Prepayment Models," Journal of Housing Economics, Elsevier, vol. 9(4), pages 215-232, December.
- Shoven, John & Green, Jerry, 1986.
"The Effects of Interest Rates on Mortgage Prepayments,"
3204664, Harvard University Department of Economics.
- Green, Jerry & Shoven, John B, 1986. "The Effects of Interest Rates on Mortgage Prepayments," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(1), pages 41-59, February.
- Jerry Green & John B. Shoven, 1983. "The Effects of Interest Rates on Mortgage Prepayments," NBER Working Papers 1246, National Bureau of Economic Research, Inc.
- Eduardo S. Schwartz & Walter N. Torous, 1993. "Mortgage Prepayment and Default Decisions: A Poisson Regression Approach," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(4), pages 431-449.
- Todd R. Stinebrickner, 1999. "Estimation Of A Duration Model In The Presence Of Missing Data," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 529-542, August.
- Yongheng Deng, .
"Mortgage Termination: An Empirical Hazard Model with Stochastic Term Structure,"
_002, University of California at Berkeley, Econometrics Laboratory Software Archive.
- 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 309-31, May.
- Kau, James B, et al, 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.
- Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
- Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
- Wayne Archer & David C. Ling & Gary A. McGill, 1995.
"The Effect of Income and Collateral Constraints on Residential Mortgage Terminations,"
NBER Working Papers
5180, National Bureau of Economic Research, Inc.
- Archer, Wayne R. & Ling, David C. & McGill, Gary A., 1996. "The effect of income and collateral constraints on residential mortgage terminations," Regional Science and Urban Economics, Elsevier, vol. 26(3-4), pages 235-261, June.
- Stanton, Richard, 1995. "Rational Prepayment and the Valuation Mortgage-Backed Securities," Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 677-708.
- Nicholas Barberis & Andrei Shleifer & Robert W. Vishny, 1997.
"A Model of Investor Sentiment,"
NBER Working Papers
5926, National Bureau of Economic Research, Inc.
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