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Macroeconomic-Driven Prepayment Risk and the Valuation of Mortgage-Backed Securities

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  • Mikhail Chernov
  • Brett R. Dunn
  • Francis A. Longstaff

Abstract

We develop a three-factor no-arbitrage model for valuing mortgage-backed securities in which we solve for the implied prepayment function from the cross-section of market prices. This model closely fits the cross-section of mortgage-backed security prices without needing to specify an econometric prepayment model. We find that implied prepayments are generally higher than actual prepayments, providing direct evidence of significant macroeconomic-driven prepayment risk premiums in mortgage-backed security prices. We also find evidence that mortgage-backed security prices were significantly affected by Fannie Mae credit risk and the Federal Reserve’s quantitative easing programs. Received May 10, 2016; editorial decision September 22, 2017 by Editor Stijn Van Nieuwerburgh.

Suggested Citation

  • Mikhail Chernov & Brett R. Dunn & Francis A. Longstaff, 2018. "Macroeconomic-Driven Prepayment Risk and the Valuation of Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 1132-1183.
    • Handle: RePEc:oup:rfinst:v:31:y:2018:i:3:p:1132-1183.
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    1. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    2. Aytek Malkhozov & Philippe Mueller & Andrea Vedolin & Gyuri Venter, 2016. "Mortgage Risk and the Yield Curve," The Review of Financial Studies, Society for Financial Studies, vol. 29(5), pages 1220-1253.
    3. Giesecke, Kay & Longstaff, Francis A. & Schaefer, Stephen & Strebulaev, Ilya, 2011. "Corporate bond default risk: A 150-year perspective," Journal of Financial Economics, Elsevier, vol. 102(2), pages 233-250.
    4. 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.
    5. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    6. Robert A. Jarrow & David Lando & Fan Yu, 2008. "Default Risk And Diversification: Theory And Empirical Implications," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 19, pages 455-480, World Scientific Publishing Co. Pte. Ltd..
    7. Carlin, Bruce I. & Longstaff, Francis A. & Matoba, Kyle, 2014. "Disagreement and asset prices," Journal of Financial Economics, Elsevier, vol. 114(2), pages 226-238.
    8. Kau, James B & Slawson, V Carlos, Jr, 2002. "Frictions, Heterogeneity and Optimality in Mortgage Modeling," The Journal of Real Estate Finance and Economics, Springer, vol. 24(3), pages 239-260, May.
    9. Duffie, Darrell & Singleton, Kenneth J, 1997. "An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    10. Jing-Zhi Huang & Ming Huang, 2012. "How Much of the Corporate-Treasury Yield Spread Is Due to Credit Risk?," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 2(2), pages 153-202.
    11. Aurélie Charles, 2012. "Introduction," Perspectives from Social Economics, in: Exchange Entitlement Mapping, pages 1-7, Palgrave Macmillan.
    12. Boudoukh, Jacob, et al, 1997. "Pricing Mortgage-Backed Securities in a Multifactor Interest Rate Environment: A Multivariate Density Estimation Approach," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 405-446.
    13. P. Kaelo & M. M. Ali, 2006. "Some Variants of the Controlled Random Search Algorithm for Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 253-264, August.
    14. Nina Boyarchenko & Andreas Fuster & David O Lucca, 2019. "Understanding Mortgage Spreads," The Review of Financial Studies, Society for Financial Studies, vol. 32(10), pages 3799-3850.
    15. Vyacheslav Gorovoy & Vadim Linetsky, 2007. "Intensity‐Based Valuation Of Residential Mortgages: An Analytically Tractable Model," Mathematical Finance, Wiley Blackwell, vol. 17(4), pages 541-573, October.
    16. 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.
    17. 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, April.
    18. Jens H. E. Christensen & Glenn D. Rudebusch, 2012. "The Response of Interest Rates to US and UK Quantitative Easing," Economic Journal, Royal Economic Society, vol. 122(564), pages 385-414, November.
    19. 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, December.
    20. Kau, James B, et al, 1992. "A Generalized Valuation Model for Fixed-Rate Residential Mortgages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(3), pages 279-299, August.
    21. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    22. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    23. Schwartz, Eduardo S & Torous, Walter N, 1989. " Prepayment and the Valuation of Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 44(2), pages 375-392, June.
    24. Yevgeny Goncharov, 2006. "An Intensity-Based Approach To The Valuation Of Mortgage Contracts And Computation Of The Endogenous Mortgage Rate," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 9(06), pages 889-914.
    25. Capone, Charles A, Jr, 2001. "Introduction to the Special Issue on Mortgage Modeling," The Journal of Real Estate Finance and Economics, Springer, vol. 23(2), pages 131-137, September.
    26. Hanson, Samuel G., 2014. "Mortgage convexity," Journal of Financial Economics, Elsevier, vol. 113(2), pages 270-299.
    27. 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 221-239, April.
    28. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(2 (Fall)), pages 215-287.
    29. Nancy Wallace, 2005. "Innovations in Mortgage Modeling: An Introduction," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 33(4), pages 587-593, December.
    30. Jefferson Duarte & Francis A. Longstaff & Fan Yu, 2007. "Risk and Return in Fixed-Income Arbitrage: Nickels in Front of a Steamroller?," The Review of Financial Studies, Society for Financial Studies, vol. 20(3), pages 769-811.
    31. Titman, Sheridan D & Torous, Walter N, 1989. " Valuing Commercial Mortgages: An Empirical Investigation of the Contingent-Claims Approach to Pricing Risky Debt," Journal of Finance, American Finance Association, vol. 44(2), pages 345-373, June.
    32. Stanton, Richard, 1995. "Rational Prepayment and the Valuation Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 677-708.
    33. Vadim Linetsky, 2004. "The Spectral Decomposition Of The Option Value," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 337-384.
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    Cited by:

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    2. Sá, Ana Isabel, 2020. "To change or not to change: the impact of the law on mortgage origination," MPRA Paper 104818, University Library of Munich, Germany.
    3. Andreas Fuster & David Lucca & James Vickery, 2023. "Mortgage-backed securities," Chapters, in: Refet S. Gürkaynak & Jonathan H. Wright (ed.), Research Handbook of Financial Markets, chapter 15, pages 331-357, Edward Elgar Publishing.
    4. Wayne Passmore & Alexander H. von Hafften, 2018. "Financing Affordable and Sustainable Homeownership with Fixed-COFI Mortgages," Finance and Economics Discussion Series 2018-009, Board of Governors of the Federal Reserve System (U.S.).
    5. Luong, Thi Mai & Scheule, Harald, 2022. "Benchmarking forecast approaches for mortgage credit risk for forward periods," European Journal of Operational Research, Elsevier, vol. 299(2), pages 750-767.
    6. Shi, Tianxiang & Lee, Yung-Tsung, 2021. "Prepayment risk in reverse mortgages: An intensity-governed surrender model," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 68-82.
    7. Peter Diep & Andrea L. Eisfeldt & Scott Richardson, 2021. "The Cross Section of MBS Returns," Journal of Finance, American Finance Association, vol. 76(5), pages 2093-2151, October.
    8. Justin Sirignano & Apaar Sadhwani & Kay Giesecke, 2016. "Deep Learning for Mortgage Risk," Papers 1607.02470, arXiv.org, revised Mar 2018.
    9. Haoyang Liu & Zhaogang Song & James Vickery, 2021. "Defragmenting Markets: Evidence from Agency MBS," Working Papers 21-25, Federal Reserve Bank of Philadelphia.
    10. Passmore, Stuart Wayne & von Hafften, Alexander H., 2020. "Financing affordable and sustainable homeownership with Fixed-COFI mortgages," Regional Science and Urban Economics, Elsevier, vol. 80(C).
    11. Wayne Passmore & Alexander H. von Hafften, 2017. "Improving the 30-Year Fixed-Rate Mortgage," Finance and Economics Discussion Series 2017-090, Board of Governors of the Federal Reserve System (U.S.).
    12. Thi Mai Luong, 2020. "Selection Effects of Lender and Borrower Choices on Risk Measurement, Management and Prudential Regulation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2020.
    13. Chuang-Chang Chang & Hsiao-Wei Ho & Henry Hongren Huang & Yildiray Yildirim, 2024. "A reduced-form model for lease contract valuation with embedded options," Review of Quantitative Finance and Accounting, Springer, vol. 62(2), pages 841-864, February.

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    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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