IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v157y2019icp244-274.html
   My bibliography  Save this article

Continuous Workout Mortgages: Efficient pricing and systemic implications

Author

Listed:
  • Shiller, Robert J.
  • Wojakowski, Rafal M.
  • Ebrahim, M. Shahid
  • Shackleton, Mark B.

Abstract

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).

Suggested Citation

  • Shiller, Robert J. & Wojakowski, Rafal M. & Ebrahim, M. Shahid & Shackleton, Mark B., 2019. "Continuous Workout Mortgages: Efficient pricing and systemic implications," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 244-274.
  • Handle: RePEc:eee:jeborg:v:157:y:2019:i:c:p:244-274
    DOI: 10.1016/j.jebo.2017.12.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268117303487
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jebo.2017.12.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. Franco Modigliani, 1976. "Some Economic Implications of the Indexing of Financial Assets with Special Reference to Mortgages," Palgrave Macmillan Books, in: Mario Monti (ed.), The ‘New Inflation’ and Monetary Policy, chapter 3, pages 90-141, Palgrave Macmillan.
    4. Stiglitz, Joseph E, 1989. "Financial Markets and Development," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, 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. 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.
    7. 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..
    8. 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.
    9. Yuliya Demyanyk & Otto Van Hemert, 2011. "Understanding the Subprime Mortgage Crisis," The Review of Financial Studies, Society for Financial Studies, vol. 24(6), pages 1848-1880.
    10. 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..
    11. 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.
    12. 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..
    13. 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.
    14. Joseph E. Stiglitz, 1989. "Markets and Development," NBER Working Papers 2961, National Bureau of Economic Research, Inc.
    15. 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.
    16. Tirtiroglu, Dogan, 1992. "Efficiency in housing markets: Temporal and spatial dimensions," Journal of Housing Economics, Elsevier, vol. 2(3), pages 276-292, September.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. Montañés, A. & Olmos, L., 2013. "Convergence in US house prices," Economics Letters, Elsevier, vol. 121(2), pages 152-155.
    27. 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.
    28. 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.
    29. 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.
    30. 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.
    31. 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.
    32. Giorgio Canarella & Stephen Miller & Stephen Pollard, 2012. "Unit Roots and Structural Change," Urban Studies, Urban Studies Journal Limited, vol. 49(4), pages 757-776, March.
    33. Szpiro, George G., 1986. "Relative risk aversion around the world," Economics Letters, Elsevier, vol. 20(1), pages 19-21.
    34. 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.
    35. Hyman P. Minsky, 1992. "The Financial Instability Hypothesis," Economics Working Paper Archive wp_74, Levy Economics Institute.
    36. 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..
    37. 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.
    38. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yerkin Kitapbayev & Scott Robertson, 2020. "Mortgage Contracts and Underwater Default," Papers 2005.03554, arXiv.org, revised May 2022.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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 3016, Cowles Foundation for Research in Economics, Yale University.
    2. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    3. 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.
    4. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    5. Weihan Li & Jin E. Zhang & Xinfeng Ruan & Pakorn Aschakulporn, 2024. "An empirical study on the early exercise premium of American options: Evidence from OEX and XEO options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(7), pages 1117-1153, July.
    6. Oleksandr Zhylyevskyy, 2010. "A fast Fourier transform technique for pricing American options under stochastic volatility," Review of Derivatives Research, Springer, vol. 13(1), pages 1-24, April.
    7. Ebrahim, M. Shahid & Shackleton, Mark B. & Wojakowski, Rafal M., 2011. "Participating mortgages and the efficiency of financial intermediation," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 3042-3054, November.
    8. 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.
    9. Barone-Adesi, Giovanni, 2005. "The saga of the American put," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2909-2918, November.
    10. Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
    11. Mark Broadie & Jérôme Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO.
    12. Chiarella, Carl & Ziogas, Andrew, 2005. "Evaluation of American strangles," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 31-62, January.
    13. Chuang-Chang Chang & Jun-Biao Lin & Wei-Che Tsai & Yaw-Huei Wang, 2012. "Using Richardson extrapolation techniques to price American options with alternative stochastic processes," Review of Quantitative Finance and Accounting, Springer, vol. 39(3), pages 383-406, October.
    14. Lee, Jung-Kyung, 2020. "A simple numerical method for pricing American power put options," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    15. Zhongkai Liu & Tao Pang, 2016. "An efficient grid lattice algorithm for pricing American-style options," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 5(1), pages 36-55.
    16. Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175, September.
    17. Carl Chiarella & Xue-Zhong He & Christina Sklibosios Nikitopoulos, 2015. "Derivative Security Pricing," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-662-45906-5, March.
    18. Ruas, João Pedro & Dias, José Carlos & Vidal Nunes, João Pedro, 2013. "Pricing and static hedging of American-style options under the jump to default extended CEV model," Journal of Banking & Finance, Elsevier, vol. 37(11), pages 4059-4072.
    19. Song-Ping Zhu, 2006. "An exact and explicit solution for the valuation of American put options," Quantitative Finance, Taylor & Francis Journals, vol. 6(3), pages 229-242.
    20. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jeborg:v:157:y:2019:i:c:p:244-274. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jebo .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.