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Optimal Mortgage Refinancing: A Closed Form Solution

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Author Info
Sumit Agarwal
John C. Driscoll
David Laibson

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Abstract

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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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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Handle: RePEc:nbr:nberwo:13487

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Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Mortgages

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  1. Green, Richard K. & LaCour-Little, Michael, 1999. "Some Truths about Ostriches: Who Doesn't Prepay Their Mortgages and Why They Don't," Journal of Housing Economics, Elsevier, vol. 8(3), pages 233-248, September. [Downloadable!] (restricted)
  2. Xavier Gabaix & David Laibson, 2006. "Shrouded Attributes, Consumer Myopia, and Information Suppression in Competitive Markets," The Quarterly Journal of Economics, MIT Press, vol. 121(2), pages 505-540, May. [Downloadable!] (restricted)
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  3. Dunn, Kenneth B & McConnell, John J, 1981. "Valuation of GNMA Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 36(3), pages 599-616, June. [Downloadable!] (restricted)
  4. Paul Bennett & Richard Peach & Stavros Peristiani, 1998. "Implied mortgage refinancing thresholds," Staff Reports 49, Federal Reserve Bank of New York. [Downloadable!]
  5. John Y. Campbell, 2006. "Household Finance," NBER Working Papers 12149, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. 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. [Downloadable!] (restricted)
  7. Chris Downing & Richard Stanton & Nancy Wallace, 2005. "An Empirical Test of a Two-Factor Mortgage Valuation Model: How Much Do House Prices Matter?," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 33(4), pages 681-710, December. [Downloadable!] (restricted)
  8. 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.
  9. 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. [Downloadable!] (restricted)
  10. Hurst, Erik & Stafford, Frank, 2004. "Home Is Where the Equity Is: Mortgage Refinancing and Household Consumption," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 985-1014, December.
  11. Bennett, Paul & Peach, Richard & Peristiani, Stavros, 2001. "Structural Change in the Mortgage Market and the Propensity to Refinance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(4), pages 955-75, November.
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  12. Schwartz, Eduardo S & Torous, Walter N, 1992. "Prepayment, Default, and the Valuation of Mortgage Pass-through Securities," Journal of Business, University of Chicago Press, vol. 65(2), pages 221-39, April. [Downloadable!] (restricted)
  13. 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.
  14. Caplin, Andrew & Freeman, Charles & Tracy, Joseph, 1997. "Collateral Damage: Refinancing Constraints and Regional Recessions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 496-516, November.
  15. 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. [Downloadable!] (restricted)
  16. Xavier Gabaix & Arvind Krishnamurthy & Olivier Vigneron, 2007. "Limits of Arbitrage: Theory and Evidence from the Mortgage-Backed Securities Market," Journal of Finance, American Finance Association, vol. 62(2), pages 557-595, 04. [Downloadable!] (restricted)
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