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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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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 122247000000002021.

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Date of creation: 21 Mar 2008
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Handle: RePEc:cla:levarc:122247000000002021
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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Laibson, David I. & Gabaix, Xavier, 2006. "Shrouded Attributes, Consumer Myopia, and Information Suppression in Competitive Markets," Scholarly Articles 4554333, Harvard University Department of Economics.
  6. Shoven, John & Green, Jerry, 1986. "The Effects of Interest Rates on Mortgage Prepayments," Scholarly Articles 3204664, Harvard University Department of Economics.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. John Y. Campbell, 2006. "Household Finance," NBER Working Papers 12149, National Bureau of Economic Research, Inc.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. Quigley, John M, 1987. "Interest Rate Variations, Mortgage Prepayments and Household Mobility," The Review of Economics and Statistics, MIT Press, vol. 69(4), pages 636-43, November.
  18. 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.
  19. Paul Bennett & Richard Peach & Stavros Peristiani, 2000. "Implied Mortgage Refinancing Thresholds," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 28(3), pages 405-434.
  20. Yan Chang & Abdullah Yavas, 2009. "Do Borrowers Make Rational Choices on Points and Refinancing?," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 37(4), pages 635-658.
  21. 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.
  22. 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.
  23. Patric H. Hendershott & Robert Van Order, 1987. "Pricing Mortgages: An Interpretation of the Models and Results," NBER Working Papers 2290, National Bureau of Economic Research, Inc.
  24. 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.
  25. Wayne R. Archer & David C. Ling, 1993. "Pricing Mortgage-Backed Securities: Integrating Optimal Call and Empirical Models of Prepayment," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(4), pages 373-404.
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