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Design of contingent capital with a stock price trigger for mandatory conversion

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  • Suresh Sundaresan
  • Zhenyu Wang

Abstract

The proposal for banks to issue contingent capital that must convert into common equity when the banks' stock price falls below a specified threshold, or "trigger," does not in general lead to a unique equilibrium in equity and contingent capital prices. Multiple or no equilibrium arises because both equity and contingent capital are claims on the assets of the issuing bank. For a security to be robust to price manipulation, it must have a unique equilibrium. For a unique equilibrium to exist, mandatory conversion cannot result in any value transfers between equity holders and contingent capital investors. The necessary condition for unique equilibrium is usually not satisfied by contingent capital with a fixed coupon rate; however, contingent capital with a floating coupon rate is shown to have a unique equilibrium if the coupon rate is set equal to the risk-free rate. This structure of contingent capital anchors its value to par throughout the time before conversion, making it implementable in practice. Although contingent capital with a unique equilibrium is robust to price manipulation, the no-value-transfer condition may preclude it from generating the desired incentives for bank managers and demand from investors.

Suggested Citation

  • Suresh Sundaresan & Zhenyu Wang, 2010. "Design of contingent capital with a stock price trigger for mandatory conversion," Staff Reports 448, Federal Reserve Bank of New York.
  • Handle: RePEc:fip:fednsr:448
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    Citations

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    Cited by:

    1. Barkbu, Bergljot & Eichengreen, Barry & Mody, Ashoka, 2012. "Financial crises and the multilateral response: What the historical record shows," Journal of International Economics, Elsevier, vol. 88(2), pages 422-435.
    2. Yehning Chen & Iftekhar Hasan, 2011. "Subordinated Debt, Market Discipline, and Bank Risk," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(6), pages 1043-1072, September.
    3. Beyhaghi, Mehdi & D’Souza, Chris & Roberts, Gordon S., 2014. "Funding advantage and market discipline in the Canadian banking sector," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 396-410.
    4. Paul Glasserman & Behzad Nouri, 2012. "Contingent Capital with a Capital-Ratio Trigger," Management Science, INFORMS, vol. 58(10), pages 1816-1833, October.
    5. Berg, Tobias & Kaserer, Christoph, 2015. "Does contingent capital induce excessive risk-taking?," Journal of Financial Intermediation, Elsevier, vol. 24(3), pages 356-385.
    6. Kenjiro Hori & Jorge Martin Ceron, 2016. "Removing Moral Hazard and Agency Costs in Banks: Beyond CoCo Bonds," Birkbeck Working Papers in Economics and Finance 1603, Birkbeck, Department of Economics, Mathematics & Statistics.
    7. Markus Buergi, 2013. "Pricing contingent convertibles: a general framework for application in practice," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 27(1), pages 31-63, March.
    8. Natalya Martynova & Enrico Perotti, 2012. "Convertible Bonds and Bank Risk-Taking," Tinbergen Institute Discussion Papers 12-106/IV/DSF41, Tinbergen Institute, revised 10 Oct 2016.
    9. Koziol, Christian & Lawrenz, Jochen, 2012. "Contingent convertibles. Solving or seeding the next banking crisis?," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 90-104.
    10. Charles W. Calomiris & Richard J. Herring, 2013. "How to Design a Contingent Convertible Debt Requirement That Helps Solve Our Too-Big-to-Fail Problem," Journal of Applied Corporate Finance, Morgan Stanley, vol. 25(2), pages 39-62, June.
    11. McDonald, Robert L., 2013. "Contingent capital with a dual price trigger," Journal of Financial Stability, Elsevier, vol. 9(2), pages 230-241.

    More about this item

    Keywords

    Bank capital ; Bank stocks ; Equilibrium (Economics) ; Stock - Prices ; Interest rates;

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