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Mortgage Valuation under Optimal Prepayment

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  • LeRoy, Stephen F

Abstract

Mortgage originators offer borrowers various combinations of "points"--loan fees--and coupon: high points and low coupon or low points and high coupon. In this article points are interpreted as a device serving to separate borrowers with high prepayment probabilities from those with low prepayment probabilities. Borrowers and lenders are treated symmetrically: both are risk neutral and both have complete and frictionless access to credit markets (implying that borrowers can finance points if they wish), except that borrowers' prepayment speeds are private knowledge. Equilibria are derived, both when borrowers cannot prepay voluntarily and when they can. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Suggested Citation

  • LeRoy, Stephen F, 1996. "Mortgage Valuation under Optimal Prepayment," Review of Financial Studies, Society for Financial Studies, vol. 9(3), pages 817-844.
  • Handle: RePEc:oup:rfinst:v:9:y:1996:i:3:p:817-44
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    Cited by:

    1. Matthew Chambers & Carlos Garriga & Don E. Schlagenhauf, 2007. "Equilibrium mortgage choice and housing tenure decisions with refinancing," FRB Atlanta Working Paper 2007-25, Federal Reserve Bank of Atlanta.
    2. Longstaff, Francis A., 2002. "Optimal Recursive Refinancing and the Valuation of Mortgage-Backed Securities," University of California at Los Angeles, Anderson Graduate School of Management qt19k7479t, Anderson Graduate School of Management, UCLA.
    3. Anthony Yezer & Pingkang Yu, 2016. "Costly Screening, Self-Selection, Fraud, and the Organization of Credit Markets," Working Papers 2016-4, The George Washington University, Institute for International Economic Policy.
    4. Mayer, Chris & Piskorski, Tomasz & Tchistyi, Alexei, 2013. "The inefficiency of refinancing: Why prepayment penalties are good for risky borrowers," Journal of Financial Economics, Elsevier, vol. 107(3), pages 694-714.
    5. Matt Chambers & Carlos Garriga & Don Schlagenhauf, 2009. "The Loan Structure and Housing Tenure Decisions in an Equilibrium Model of Mortgage Choice," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(3), pages 444-468, July.
    6. Wojakowski, Rafal M. & Ebrahim, M. Shahid & Shackleton, Mark B., 2016. "Reducing the impact of real estate foreclosures with Amortizing Participation Mortgages," Journal of Banking & Finance, Elsevier, vol. 71(C), pages 62-74.
    7. Chow, Ying-Foon & Liu, Ming, 2003. "The value of the variable tenor mortgage feature in Hong Kong," Pacific-Basin Finance Journal, Elsevier, vol. 11(1), pages 61-80, January.
    8. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 118(4), pages 1449-1494.
    9. Tobias Berg & Anthony Saunders & Sascha Steffen, 2016. "The Total Cost of Corporate Borrowing in the Loan Market: Don't Ignore the Fees," Journal of Finance, American Finance Association, vol. 71(3), pages 1357-1392, June.
    10. Jonathan B. Berk, 1999. "A Simple Approach for Deciding When to Invest," American Economic Review, American Economic Association, vol. 89(5), pages 1319-1326, December.
    11. Brick, Ivan E. & Palia, Darius, 2007. "Evidence of jointness in the terms of relationship lending," Journal of Financial Intermediation, Elsevier, vol. 16(3), pages 452-476, July.
    12. John Y. Campbell, 2006. "Household Finance," Journal of Finance, American Finance Association, vol. 61(4), pages 1553-1604, August.
    13. Jonathan B. Berk, 1998. "A Simple Approach for Deciding When to Invest," NBER Working Papers 6678, National Bureau of Economic Research, Inc.
    14. Berg, Tobias & Saunders, Anthony & Steffen, Sascha, 2015. "The Total Costs of Corporate Borrowing in the Loan Market: Don’t Ignore the Fees," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 489, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    15. Jane Dokko & Brian M. Doyle & Michael T. Kiley & Jinill Kim & Shane Sherlund & Jae Sim & Skander Van Den Heuvel, 2011. "Monetary policy and the global housing bubble," Economic Policy, CEPR;CES;MSH, vol. 26(66), pages 233-283, April.
    16. Chow, Ying-Foon & Huang, Charles & Liu, Ming, 2000. "Valuation of adjustable rate mortgages with automatic stretching maturity," Journal of Banking & Finance, Elsevier, vol. 24(11), pages 1809-1829, November.
    17. Posey, Lisa L. & Yavas, Abdullah, 2001. "Adjustable and Fixed Rate Mortgages as a Screening Mechanism for Default Risk," Journal of Urban Economics, Elsevier, vol. 49(1), pages 54-79, January.
    18. Christopher J. Mayer & Tomasz Piskorski & Alexei Tchistyi, 2010. "The Inefficiency of Refinancing: Why Prepayment Penalties Are Good for Risky Borrowers," NBER Working Papers 16586, National Bureau of Economic Research, Inc.
    19. Svenstrup, Mikkel, 2002. "Mortgage Choice - The Danish Case," Finance Working Papers 02-22, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    20. Francis A. Longstaff, 2004. "Optimal Recursive Refinancing and the Valuation of Mortgage-Backed Securities," NBER Working Papers 10422, National Bureau of Economic Research, Inc.
    21. Mark Doms & John Krainer, 2007. "Innovations in mortgage markets and increased spending on housing," Working Paper Series 2007-05, Federal Reserve Bank of San Francisco.
    22. Alexei Tchistyi & Tomasz Piskorski, 2008. "Stochastic House Appreciation and Optimal Mortgage Lending," 2008 Meeting Papers 938, Society for Economic Dynamics.
    23. 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.
    24. Steinbuks, Jevgenijs, 2015. "Effects of prepayment regulations on termination of subprime mortgages," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 445-456.
    25. Jevgenijs Steinbuks & Gregory Elliehausen, 2014. "The Economic Effects of Legal Restrictions on High-Cost Mortgages," The Journal of Real Estate Finance and Economics, Springer, vol. 49(1), pages 47-72, July.

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