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Contingent Capital with a Capital-Ratio Trigger

Author

Listed:
  • Paul Glasserman

    () (Graduate School of Business, Columbia University, New York, New York 10027)

  • Behzad Nouri

    () (Industrial Engineering and Operations Research Department, Columbia University, New York, New York 10027)

Abstract

Contingent capital in the form of debt that converts to equity when a bank faces financial distress has been proposed as a mechanism to enhance financial stability and avoid costly government rescues. Specific proposals vary in their choice of conversion trigger and conversion mechanism. We analyze the case of contingent capital with a capital-ratio trigger and partial and ongoing conversion. The capital ratio we use is based on accounting or book values to approximate the regulatory ratios that determine capital requirements for banks. The conversion process is partial and ongoing in the sense that each time a bank's capital ratio reaches the minimum threshold, just enough debt is converted to equity to meet the capital requirement, so long as the contingent capital has not been depleted. We derive closed-form expressions for the market value of such securities when the firm's asset value is modeled as geometric Brownian motion, and from these we get formulas for the fair yield spread on the convertible debt. A key step in the analysis is an explicit expression for the fraction of equity held by the original shareholders and the fraction held by converted investors in the contingent capital. This paper was accepted by Gérard P. Cachon, stochastic models and simulation.

Suggested Citation

  • Paul Glasserman & Behzad Nouri, 2012. "Contingent Capital with a Capital-Ratio Trigger," Management Science, INFORMS, vol. 58(10), pages 1816-1833, October.
  • Handle: RePEc:inm:ormnsc:v:58:y:2012:i:10:p:1816-1833
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    File URL: http://dx.doi.org/10.1287/mnsc.1120.1520
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Hilscher, Jens & Raviv, Alon, 2014. "Bank stability and market discipline: The effect of contingent capital on risk taking and default probability," Journal of Corporate Finance, Elsevier, vol. 29(C), pages 542-560.
    2. Bulow, Jeremy & Klemperer, Paul, 2013. "Market-Based Bank Capital Regulation," Research Papers 2132, Stanford University, Graduate School of Business.
    3. repec:eee:reveco:v:53:y:2018:i:c:p:98-108 is not listed on IDEAS
    4. Masror Khah, Sara Abed & Vermaelen, Theo & Wolff, Christian C, 2015. "The Determinants of CoCo Bond Prices," CEPR Discussion Papers 10996, C.E.P.R. Discussion Papers.
    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. Niedrig, Tobias & Gründl, Helmut, 2015. "The effects of Contingent Convertible (CoCo) bonds on insurers' capital requirements under solvency II," SAFE Working Paper Series 98, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    7. 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.
    8. Thomas Conlon & John Cotter, 2015. "Eurozone bank resolution and Bail-In - Intervention, triggers and writedowns," Working Papers 201501, Geary Institute, University College Dublin.
    9. Kenjiro Hori & Jorge Martin Cerón, 2017. "Contingent Convertible Bonds: Payoff Structures and Incentive Effects," Birkbeck Working Papers in Economics and Finance 1711, Birkbeck, Department of Economics, Mathematics & Statistics.
    10. Das, Sanjiv R. & Kim, Seoyoung, 2015. "Credit spreads with dynamic debt," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 121-140.
    11. Tobias Niedrig & Helmut Gründl, 2015. "The Effects of Contingent Convertible (CoCo) Bonds on Insurers’ Capital Requirements Under Solvency II," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 40(3), pages 416-443, July.
    12. Conlon, Thomas & Cotter, John, 2014. "Anatomy of a bail-in," Journal of Financial Stability, Elsevier, pages 257-263.
    13. Attaoui, Sami & Poncet, Patrice, 2015. "Write-Down Bonds and Capital and Debt Structures," Journal of Corporate Finance, Elsevier, vol. 35(C), pages 97-119.
    14. Nan Chen & Paul Glasserman & Behzad Nouri & Markus Pelger, 2013. "CoCos, Bail-In, and Tail Risk," Working Papers 13-01, Office of Financial Research, US Department of the Treasury.
    15. 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.
    16. repec:eee:reveco:v:51:y:2017:i:c:p:354-369 is not listed on IDEAS
    17. Tan, Yingxian & Yang, Zhaojun, 2016. "Contingent capital, capital structure and investment," The North American Journal of Economics and Finance, Elsevier, vol. 35(C), pages 56-73.
    18. repec:wsi:ijtafx:v:20:y:2017:i:07:n:s0219024917500467 is not listed on IDEAS
    19. Yang, Zhaojun & Zhao, Zhiming, 2015. "Valuation and analysis of contingent convertible securities with jump risk," International Review of Financial Analysis, Elsevier, vol. 41(C), pages 124-135.
    20. Luo, Pengfei & Yang, Zhaojun, 2017. "Real options and contingent convertibles with regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 122-135.
    21. Lo, Chien-Ling & Lee, Jin-Ping & Yu, Min-Teh, 2013. "Valuation of insurers’ contingent capital with counterparty risk and price endogeneity," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5025-5035.

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