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A structural framework for modelling contingent capital

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  • J. Li
  • A. Metzler
  • R. M. Reesor

Abstract

This paper develops a structural model of contingent capital. In contrast to existing approaches we explicitly link the firm’s total payout to its cost of debt, leading to a total payout that is linear in—as opposed to proportional to—asset value. In the special case that asset value evolves as affine geometric Brownian motion we derive closed-form expressions for limiting (i.e. perpetual) bond values. The proposed model is flexible, so that it can be used to gauge the relative merits of different variations of contingent capital, and parsimonious, so that it is relatively easy to implement in practice. An empirical example using data from the Canadian banking sector is provided that illustrates how the model can generate insights into problems that are of interest to both regulators and issuers of contingent capital (e.g. what range of conversion prices would be consistent with regulatory guidelines, and how expensive is contingent debt over this range).

Suggested Citation

  • J. Li & A. Metzler & R. M. Reesor, 2017. "A structural framework for modelling contingent capital," Quantitative Finance, Taylor & Francis Journals, vol. 17(7), pages 1071-1088, July.
    • Handle: RePEc:taf:quantf:v:17:y:2017:i:7:p:1071-1088
    DOI: 10.1080/14697688.2016.1256494
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    References listed on IDEAS

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    1. Alan L. Lewis, 1998. "Applications of Eigenfunction Expansions in Continuous‐Time Finance," Mathematical Finance, Wiley Blackwell, vol. 8(4), pages 349-383, October.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    3. Joseph Abate & Ward Whitt, 1995. "Numerical Inversion of Laplace Transforms of Probability Distributions," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 36-43, February.
    4. Paul Glasserman & Behzad Nouri, 2012. "Contingent Capital with a Capital-Ratio Trigger," Management Science, INFORMS, vol. 58(10), pages 1816-1833, October.
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    Cited by:

    1. Philippe Oster, 2020. "Contingent Convertible bond literature review: making everything and nothing possible?," Journal of Banking Regulation, Palgrave Macmillan, vol. 21(4), pages 343-381, December.

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