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A structural model of contingent bank capital

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  • George Pennacchi

Abstract

This paper develops a structural credit risk model of a bank that issues deposits, shareholders' equity, and fixed or floating coupon bonds in the form of contingent capital or subordinated debt. The return on the bank's assets follows a jump-diffusion process, and default-free interest rates are stochastic. The equilibrium pricing of the bank's deposits, contingent capital, and shareholders' equity is studied for various parameter values haracterizing the bank's risk and the contractual terms of its contingent capital. Allowing for the possibility of jumps in the bank's asset value, as might occur during a financial crisis, has distinctive implications for valuing contingent capital. Credit spreads on contingent capital are higher the lower is the value of shareholders' equity at which conversion occurs and the larger is the conversion discount from the bond's par value. The effect of requiring a decline in a financial stock price index for conversion (dual price trigger) is to make contingent capital more similar to non-convertible subordinated debt. The paper also examines the bank's incentive to increase risk when it issues different forms of contingent capital as well as subordinated debt. In general, a bank that issues contingent capital has a moral hazard incentive to raise its assets' risk of jumps, particularly when the value of equity at the conversion threshold is low. However, moral hazard when issuing contingent capital tends to be less than when issuing subordinated debt. Because it reduces effective leverage and the pressure for government bailouts, contingent capital deserves serious consideration as part of a package of reforms that stabilize the financial system and eliminate "Too-Big-to-Fail."

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Bibliographic Info

Paper provided by Federal Reserve Bank of Cleveland in its series Working Paper with number 1004.

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Date of creation: 2010
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Handle: RePEc:fip:fedcwp:1004

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Related research

Keywords: Bank capital ; Risk ; Bank failures;

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Cited by:
  1. Barucci, Emilio & Del Viva, Luca, 2012. "Countercyclical contingent capital," Journal of Banking & Finance, Elsevier, vol. 36(6), pages 1688-1709.
  2. Gupta, Anshul & Akuzawa, Toshinao & Nishiyama, Yoshihiko, 2013. "Quantitative evaluation of contingent capital and its applications," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 457-486.
  3. McDonald, Robert L., 2013. "Contingent capital with a dual price trigger," Journal of Financial Stability, Elsevier, vol. 9(2), pages 230-241.
  4. Thakor, Anjan & Mehran, Hamid & Acharya, Viral V., 2010. "Caught Between Scylla and Charybdis? Regulating Bank Leverage When There is Rent Seeking and Risk Shifting," Working paper 643, Regulation2point0.
  5. Markus Buergi, 2013. "Pricing contingent convertibles: a general framework for application in practice," Financial Markets and Portfolio Management, Springer, vol. 27(1), pages 31-63, March.
  6. 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, 09.
  7. George M. von Furstenberg, 2011. "Concocting Marketable Cocos," Working Papers 222011, Hong Kong Institute for Monetary Research.
  8. 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.
  9. Feldman, Ron J. & Stern, Gary H., 2010. "The Squam Lake Report: Observations from two policy professionals," Journal of Monetary Economics, Elsevier, vol. 57(7), pages 903-912, October.

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