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Continuous Workout Mortgages

Author

Listed:
  • Robert J. Shiller

    (Cowles Foundation, Yale University)

  • Rafal M. Wojakowski

    (Lancaster University Management School, Accounting and Finance)

  • M. Shahid Ebrahim

    (Bangor Business School, Bangor University)

  • Mark B. Shackleton

    (Lancaster University Management School)

Abstract

This paper models Continuous Workout Mortgages (CWMs) in an economic environment with refinancings and prepayments by employing a market-observable variable such as the house price index of the pertaining locality. Our main results include: (a) explicit modelling of repayment and interest-only CWMs; (b) closed form formulae for mortgage payment and mortgage balance of a repayment CWM; (c) a closed form formula for the actuarially fair mortgage rate of an interest-only CWM. For repayment CWMs we extend our analysis to include two negotiable parameters: adjustable "workout proportion" and adjustable "workout threshold." These results are of importance as they not only help understanding the mechanics of CWMs and estimating key contract parameters. These results are of importance as they not only help in the understanding of the mechanics of CWMs and estimating key contract parameters, but they also provide guidance on how to enhance the resilience of the financial architecture and mitigate systemic risk.

Suggested Citation

  • Robert J. Shiller & Rafal M. Wojakowski & M. Shahid Ebrahim & Mark B. Shackleton, 2011. "Continuous Workout Mortgages," Cowles Foundation Discussion Papers 1794, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1794
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d17/d1794.pdf
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    Citations

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    Cited by:

    1. John Y. Campbell, 2013. "Mortgage Market Design," Review of Finance, European Finance Association, vol. 17(1), pages 1-33.
    2. Yerkin Kitapbayev & Scott Robertson, 2020. "Mortgage Contracts and Underwater Default," Papers 2005.03554, arXiv.org, revised May 2022.
    3. 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.
    4. John Linarelli, 2020. "Debt in just societies: A general framework for regulating credit," Regulation & Governance, John Wiley & Sons, vol. 14(3), pages 409-427, July.
    5. Christophe André, 2016. "Household debt in OECD countries: stylised facts and policy issues," Chapters from NBP Conference Publications, in: Hanna Augustyniak & Jacek Łaszek & Krzysztof Olszewski & Joanna Waszczuk (ed.), Papers presented during the Narodowy Bank Polski Workshop: Recent trends in the real estate market and its analysis - 2015 edition, chapter 2, pages v1, 33-85, Narodowy Bank Polski.

    More about this item

    Keywords

    Continuous Workout Mortgage (CWM); Repayment; Interest-only; House price index; Prepayment intensity; Cap and floor on continuous flow;
    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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