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Optimal Mortgage Refinancing: A Closed Form Solution

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  • Sumit Agarwal
  • John C. Driscoll
  • David Laibson

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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Bibliographic Info

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

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  1. Paul Bennett & Richard Peach & Stavros Peristiani, 1998. "Structural change in the mortgage market and the propensity to refinance," Staff Reports 45, Federal Reserve Bank of New York.
  2. 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.
  3. 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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  7. Paul Bennett & Richard Peach & Stavros Peristiani, 1998. "Implied mortgage refinancing thresholds," Staff Reports 49, Federal Reserve Bank of New York.
  8. 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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Cited by:
  1. Guiso, Luigi & Sodini, Paolo, 2012. "Household Finance: An Emerging Field," CEPR Discussion Papers 8934, C.E.P.R. Discussion Papers.
  2. Werner Hürlimann, 2012. "Valuation of fixed and variable rate mortgages: binomial tree versus analytical approximations," Decisions in Economics and Finance, Springer, vol. 35(2), pages 171-202, November.
  3. Amir E. Khandani & Andrew W. Lo & Robert C. Merton, 2009. "Systemic Risk and the Refinancing Ratchet Effect," NBER Working Papers 15362, National Bureau of Economic Research, Inc.
  4. Aytek Malkhozov & Philippe Mueller & Andrea Vedolin & Gyuri Venter, 2013. "Mortgage Hedging in Fixed Income Markets," FMG Discussion Papers dp722, Financial Markets Group.
  5. Barry Bosworth & Rosanna Smart, 2009. "The Wealth of Older Americans and the Sub-Prime Debacle The Wealth of Older Americans and the Sub-Prime Debacle," Working Papers, Center for Retirement Research at Boston College wp2009-21, Center for Retirement Research, revised Nov 2009.
  6. Toshio Kimura & Naoki Makimoto, 2008. "Optimal Mortgage Refinancing with Regime Switches," Asia-Pacific Financial Markets, Springer, vol. 15(1), pages 47-65, March.
  7. Sumit Agarwal & Richard J. Rosen & Vincent Yao, 2013. "Why do borrowers make mortgage refinancing mistakes?," Working Paper Series WP-2013-02, Federal Reserve Bank of Chicago.

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