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Optimal Mortgage Refinancing with Stochastic Interest Rates

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  • Andrew H. Chen
  • David C. Ling

Abstract

The purpose of this paper is to develop a dynamic model of mortgage refinancing in a contingent claim framework that simultaneously solves for the borrower's optimal mortgage refinancing strategy, the value of the refinancing call option, the value of the mortgage liability to the borrower, and the market (lender) value of the fixed‐rate contract. We also calculate the minimum differential between the contract rate on the existing mortgage and the current interest rate that is required to trigger an optimal mortgage refinancing.

Suggested Citation

  • 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, September.
  • Handle: RePEc:bla:reesec:v:17:y:1989:i:3:p:278-299
    DOI: 10.1111/1540-6229.00492
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    References listed on IDEAS

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    1. 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.
    2. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Geske, Robert & Shastri, Kuldeep, 1985. "Valuation by Approximation: A Comparison of Alternative Option Valuation Techniques," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(1), pages 45-71, March.
    4. Gilles, Christian & Leroy, Stephen F, 1986. "A Note on the Local Expectations Hypothesis: A Discrete-Time Exposition," Journal of Finance, American Finance Association, vol. 41(4), pages 975-979, September.
    5. Brennan, Michael J. & Schwartz, Eduardo S., 1977. "Savings bonds, retractable bonds and callable bonds," Journal of Financial Economics, Elsevier, vol. 5(1), pages 67-88, August.
    6. Michael J. Brennan & Eduardo S. Schwartz, 1985. "Determinants of GNMA Mortgage Prices," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(3), pages 209-228, September.
    7. 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.
    8. Rendleman, Richard J. & Bartter, Brit J., 1980. "The Pricing of Options on Debt Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 11-24, March.
    9. Arden R. Hall, 1985. "Valuing the Mortgage Borrower's Prepayment Option," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(3), pages 229-247, September.
    10. S. Michael Giliberto & Arthur L. Houston, 1989. "Relocation Opportunities and Mortgage Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 17(1), pages 55-69, March.
    11. Stephen A. Buser & Patric H. Hendershott, 1984. "The Pricing of Default-Free Mortgages," NBER Working Papers 1408, National Bureau of Economic Research, Inc.
    12. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    Cited by:

    1. Winston T.H. Koh & Edward H.K. Ng, 2004. "Investing in Real Estate: Mortgage Financing Practices and Optimal Holding Period," International Real Estate Review, Global Social Science Institute, vol. 7(1), pages 71-97.
    2. Sumit Agarwal & Richard J. Rosen & Vincent W. Yao, 2013. "Why do borrowers make mortgage refinancing mistakes?," Working Paper Series WP-2013-02, Federal Reserve Bank of Chicago.
    3. Devine, Kenneth, 2022. "Refinancing Inertia in the Irish Mortgage Market," Research Technical Papers 5/RT/22, Central Bank of Ireland.
    4. Sam R. Hakim, 1997. "Autonomous and Financial Mortgage Prepayment," Journal of Real Estate Research, American Real Estate Society, vol. 13(1), pages 1-16.
    5. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    6. Xiaoxia Wu & Dejun Xie & David A. Edwards, 2019. "An Optimal Mortgage Refinancing Strategy with Stochastic Interest Rate," Computational Economics, Springer;Society for Computational Economics, vol. 53(4), pages 1353-1375, April.
    7. Dejun Xie & Nan Zhang & David A. Edwards, 2018. "Simulation Solution to a Two-Dimensional Mortgage Refinancing Problem," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 479-492, August.
    8. Sumit Agarwal & Richard J. Rosen & Vincent Yao, 2016. "Why Do Borrowers Make Mortgage Refinancing Mistakes?," Management Science, INFORMS, vol. 62(12), pages 3494-3509, December.
    9. Lee, Pei-Ting & Rosenfield, Donald B., 2005. "When to refinance a mortgage: A dynamic programming approach," European Journal of Operational Research, Elsevier, vol. 166(1), pages 266-277, October.
    10. McCartney, W. Ben & Shah, Avni M., 2022. "Household mortgage refinancing decisions are neighbor influenced, especially along racial lines," Journal of Urban Economics, Elsevier, vol. 128(C).
    11. Jill Wetmore & Chiaku Ndu, 2006. "Mortgage Refinancing Activity: An Explanation [1990–2001]," The Journal of Real Estate Finance and Economics, Springer, vol. 33(1), pages 75-86, August.
    12. 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(4), pages 591-622, June.
    13. 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, December.
    14. Agarwal, Sumit & Driscoll, John D. & Laibson, David I., 2012. "Optimal Mortgage Reï¬ nancing: A Closed Form Solution," Scholarly Articles 9918811, Harvard University Department of Economics.

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