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Optimal Mortgage Refinancing: A Closed Form Solution

  • Sumit Agarwal
  • John C. Driscoll
  • David Laibson

We derive the first closed-form optimal mortgage refinancing rule. The expression is derived by using the Lambert-W function to solve a tractable class of mortgage refinancing problems. We calibrate our solution and show that our quantitative results closely match those reported by researchers who use numerical methods.

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File URL: http://www.nber.org/papers/w13487.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 13487.

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Date of creation: Oct 2007
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Publication status: published as Sumit Agarwal & John C. Driscoll & David I. Laibson, 2013. "Optimal Mortgage Refinancing: A Closed‐Form Solution," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45, pages 591-622, 06.
Handle: RePEc:nbr:nberwo:13487
Note: AP EFG PE
Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
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  1. Paul Bennett & Richard Peach & Stavros Peristiani, 1997. "Structural change in the mortgage market and the propensity to refinance," Research Paper 9736, Federal Reserve Bank of New York.
  2. Laibson, David I. & Gabaix, Xavier, 2006. "Shrouded Attributes, Consumer Myopia, and Information Suppression in Competitive Markets," Scholarly Articles 4554333, Harvard University Department of Economics.
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  12. Schwartz, Eduardo S & Torous, Walter N, 1992. "Prepayment, Default, and the Valuation of Mortgage Pass-through Securities," The Journal of Business, University of Chicago Press, vol. 65(2), pages 221-39, April.
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  16. Andrew H. Chen & David C. Ling, 1989. "Optimal Mortgage Refinancing with Stochastic Interest Rates," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 17(3), pages 278-299.
  17. John P. Harding, 1997. "Estimating Borrower Mobility from Observed Prepayments," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 25(3), pages 347-371.
  18. Kenneth B. Dunn & Chester S. Spatt, 2005. "The Effect of Refinancing Costs and Market Imperfections on the Optimal Call Strategy and the Pricing of Debt Contracts," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 33(4), pages 595-617, December.
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  21. Follain, James R & Scott, Louis O & Yang, T L Tyler, 1992. "Microfoundations of a Mortgage Prepayment Function," The Journal of Real Estate Finance and Economics, Springer, vol. 5(2), pages 197-217, June.
  22. Giliberto, S Michael & Thibodeau, Thomas G, 1989. "Modeling Conventional Residential Mortgage Refinancings," The Journal of Real Estate Finance and Economics, Springer, vol. 2(4), pages 285-99, December.
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  24. Li, Minqiang & Pearson, Neil D. & Poteshman, Allen M., 2004. "Conditional estimation of diffusion processes," Journal of Financial Economics, Elsevier, vol. 74(1), pages 31-66, October.
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