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Continuous Workout Mortgages: Efficient Pricing and Systemic Implications

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This paper studies the Continuous Workout Mortgage (CWM), a two in one product: a fixed rate home loan coupled with negative equity insurance, to advocate its viability in mitigating financial fragility. In order to tackle the many issues that CWMs embrace, we perform a range of tasks. We optimally price CWMs and take a systemic market-based approach, stipulating that mortgage values and payments should be linked to housing prices and adjusted downward to prevent negative equity. We illustrate that amortizing CWMs can be the efficient home financing choice for many households. We price CWMs as American option style, defaulting debt in conjunction with prepayment within a continuous time, analytic framework. We introduce random prepayments via the intensity approach of Jarrow and Turnbull (1995). We also model the optimal embedded option to default whose exercise is motivated by decreasing random house prices. We adapt the Barone-Adesi and Whaley (1987) (BAW) approach to work within amortizing mortgage context. We derive new closed-form and new analytical approximation methodologies which apply both for pricing CWMs, as well as for pricing the standard US 30-year Fixed Rate Mortgage (FRM).

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  • Robert J. Shiller & Rafal M. Wojakowski & M. Shahid Ebrahim & Mark B. Shackleton, 2017. "Continuous Workout Mortgages: Efficient Pricing and Systemic Implications," Cowles Foundation Discussion Papers 2116, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:2116
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    1. Piazzesi, M. & Schneider, M., 2016. "Housing and Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1547-1640, Elsevier.
    2. Ghysels, Eric & Perron, Pierre, 1993. "The effect of seasonal adjustment filters on tests for a unit root," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 57-98.
    3. Modigliani, Franco., 1974. "Some economic implications of the indexing of financial assets with special reference to mortgages," Working papers 736-74., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    4. Stiglitz, Joseph E, 1989. "Financial Markets and Development," Oxford Review of Economic Policy, Oxford University Press, vol. 5(4), pages 55-68, Winter.
    5. Takeo Hoshi & Anil K. Kashyap, 2004. "Japan's Financial Crisis and Economic Stagnation," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 3-26, Winter.
    6. Yuliya Demyanyk & Otto Van Hemert, 2011. "Understanding the Subprime Mortgage Crisis," Review of Financial Studies, Society for Financial Studies, vol. 24(6), pages 1848-1880.
    7. Azevedo-Pereira, Jose A & Newton, David P & Paxson, Dean A, 2003. "Fixed-Rate Endowment Mortgage and Mortgage Indemnity Valuation," The Journal of Real Estate Finance and Economics, Springer, vol. 26(2-3), pages 197-221, March-May.
    8. 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..
    9. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    10. Shackleton, Mark B. & Wojakowski, Rafal, 2007. "Finite maturity caps and floors on continuous flows," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3843-3859, December.
    11. Robert J. Shiller, 2014. "Why Is Housing Finance Still Stuck in Such a Primitive Stage?," American Economic Review, American Economic Association, vol. 104(5), pages 73-76, May.
    12. Shiller, Robert J. & Wojakowski, Rafał M. & Ebrahim, M. Shahid & Shackleton, Mark B., 2013. "Mitigating financial fragility with Continuous Workout Mortgages," Journal of Economic Behavior & Organization, Elsevier, vol. 85(C), pages 269-285.
    13. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    14. Szpiro, George G, 1986. "Measuring Risk Aversion: An Alternative Approach," The Review of Economics and Statistics, MIT Press, vol. 68(1), pages 156-159, February.
    15. Brent W. Ambrose & Richard J. Buttimer Jr., 2012. "The Adjustable Balance Mortgage: Reducing the Value of the Put," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 40(3), pages 536-565, September.
    16. Case, Karl E & Shiller, Robert J, 1989. "The Efficiency of the Market for Single-Family Homes," American Economic Review, American Economic Association, vol. 79(1), pages 125-137, March.
    17. Tirtiroglu, Dogan, 1992. "Efficiency in housing markets: Temporal and spatial dimensions," Journal of Housing Economics, Elsevier, vol. 2(3), pages 276-292, September.
    18. Montañés, A. & Olmos, L., 2013. "Convergence in US house prices," Economics Letters, Elsevier, vol. 121(2), pages 152-155.
    19. 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.
    20. Geske, Robert & Johnson, Herb E, 1984. "The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-1524, December.
    21. 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.
    22. Nicholas Sharp & David Newton & Peter Duck, 2008. "An Improved Fixed-Rate Mortgage Valuation Methodology with Interacting Prepayment and Default Options," The Journal of Real Estate Finance and Economics, Springer, vol. 36(3), pages 307-342, April.
    23. Fama, Eugene F., 1990. "Term-structure forecasts of interest rates, inflation and real returns," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 59-76, January.
    24. Jefferson Duarte & Douglas A. McManus, 2011. "Residential Mortgage Credit Derivatives," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 39(4), pages 671-700, December.
    25. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. "Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    26. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2010. "Unit Roots and Structural Change: An Application to US House-Price Indices," Working papers 2010-04, University of Connecticut, Department of Economics, revised Dec 2010.
    27. Shiller Robert J., 2009. "Policies to Deal with the Implosion in the Mortgage Market," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(3), pages 1-25, March.
    28. Pierre‐André Chiappori & Monica Paiella, 2011. "Relative Risk Aversion Is Constant: Evidence From Panel Data," Journal of the European Economic Association, European Economic Association, vol. 9(6), pages 1021-1052, December.
    29. Szpiro, George G., 1986. "Relative risk aversion around the world," Economics Letters, Elsevier, vol. 20(1), pages 19-21.
    30. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    31. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103, World Scientific Publishing Co. Pte. Ltd..
    32. James B. Kau & Donald C. Keenan & Walter J. Muller & James F. Epperson, 1985. "Rational Pricing of Adjustable Rate Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(2), pages 117-128, June.
    33. Donald E. Fischer & Glenn A. Wilt Jr., 1968. "Non‐Convertible Preferred Stock As A Financing Instrument 1950–1965," Journal of Finance, American Finance Association, vol. 23(4), pages 611-624, September.
    34. Cristina Viegas & Jos� Azevedo-Pereira, 2012. "Mortgage valuation: a quasi-closed-form solution," Quantitative Finance, Taylor & Francis Journals, vol. 12(7), pages 993-1001, May.
    35. McConnell, John J & Schlarbaum, Gary G, 1981. "Returns, Risks, and Pricing of Income Bonds, 1956-76 (Does Money Have an Odor?)," The Journal of Business, University of Chicago Press, vol. 54(1), pages 33-63, January.
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    Cited by:

    1. Yerkin Kitapbayev & Scott Robertson, 2020. "Mortgage Contracts and Underwater Default," Papers 2005.03554, arXiv.org, revised Jan 2021.
    2. Samit Ahlawat, 2019. "Evaluation of Mortgage Default Characteristics Using Fannie Mae’s Loan Performance Data," The Journal of Real Estate Finance and Economics, Springer, vol. 59(4), pages 589-616, November.

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    More about this item

    Keywords

    Negative equity; House price index indexation; Repayment mortgage; Insurance; Embedded option to default; Prepayment intensity;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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