Abstract
The first contingent convertibles (CoCo) were issued in 2009, but, to date, the academic community has not given much attention to practical issues of pricing them. Combining various aspects from existing theoretical and practical literature, this paper first presents a CoCo pricing framework that allows a flexible and comprehensible valuation of real-world equity or TIER-1 ratio-triggered CoCos. The model is based on the assumption that the issuer’s total asset value follows a Brownian motion, that book values reflect fair economic values in the case of financial distress, and that there is a linear relationship between straight equity and TIER-1 ratios. The pricing methodology is then applied to the Credit Suisse Buffer Capital Note issued in February 2011.
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References
Albul, B., Jaffee, D., Tchistyi, A.: Contingent Convertible Bonds and Capital Structure Decisions. University of California at Berkeley, Haas School of Business (2010). (Working Paper)
Altman, E.: Default Recovery Rates in Credit Risk Modeling: A Review of the Literature and Empirical Evidence. New York University (2003) (Working Paper)
Ammann, M., Kind, A., Wilde, C.: Simulation-based pricing of convertible bonds. J. Empir. Financ. 15(2), 310–331 (2008)
Basel Committee on Banking Supervision: Basel III: A global regulatory framework for more resilient banks and banking systems. Bank for International Settlements (2011) (Technical report)
Bharath, S., Shumway, T.: Forecasting Default with the KMV-Merton Model. Department of Finance, University of Michigan Business School (2004) (Working Paper)
Black, F., Scholes, M.: The pricing of options and corporate liabilities. J. Polit. Econ. 81(3), 637–654 (1973)
Brennan, M., Schwartz, E.: Convertible bonds: valuation and optimal strategies for call and conversion. J. Finance 32(5), 1699–1715 (1977)
Brennan, M., de Longevialle, B.: Potential $ 1 trillion bank contingent capital-style issuance faces uncertain investor interest. Standard & Poor’s (2010) (Technical Report Rating Direct)
Brigo, D., Tarenghi, M.: Credit Default Swap Calibration and Equity Swap Valuation under Counterparty Risk with a Tractable Structural Model. Banca IMI, March 8 (2005) (Working Paper)
Calomiris, C., Herring, R.: Why and How to Design a Contingent Convertible Debt Requirement. University of Pennsylvania, Columbia Business School and Wharton School (2011). (Working Paper)
Cox, J., Ross, S., Rubinstein, M.: Option pricing: a simplified approach. J. Financ. Econ. 7, 229–263 (1979)
Crosbie, P., Bohn, J.: Modeling Default Risk: Modeling Methodology. Moody’s KMV, San Francisco (2003)
De Spiegeleer, J., Schoutens, W.: Pricing Contingent Convertibles: A Derivatives Approach. Jabre Capital Partners and Katholieke Universiteit Leuven, March 18 (2011) (Working Paper)
Flannery, M.: Stabilizing Large Financial Institutions with Contingent Capital Certificates. University of Florida (2009) (Working Paper)
Garcia, J.: Pricing and Calibration of Contingent Capital with a Structural Approach. FitchSolutions (2011) (Report)
Ingersoll, J.: A contingent claim valuation of convertible securities. J. Financ. Econ. 4, 289–322 (1977)
Kind, A.: Pricing American-Style Options By Simulation. Financ. Markets Portfolio Manage. 19(1), 109–116 (2005)
Laux, C., Leuz, C.: The crisis of fair-value accounting: making sense of the recent debate. Account. Organ. Soc. 34, 826–834 (2009)
Maes, K., Schoutens, W.: Contingent Capital: An In-Depth Discussion. Katholieke Universiteit Leuven, August 2 (2010) (Working Paper)
McDonald, R.: Contingent Capital with Dual Price Trigger. Northwestern University, Kellogg School of Management (2010). (Working Paper)
Merton, R.: Theory of rational option pricing. Bell J. Econ. Manage. Sci. 4, 141–183 (1973)
Merton, R.: On the pricing of corporate debt: the risk structure of interest rate. J. Financ. 29, 449–470 (1974)
Moody’s: Corporate Default and Recovery Rates, 1920–2008. New York University (2009) (Special Comment)
Nikolova, S.: The Informational Content and Accuracy of Implied Asset Volatility as a Measure of Total Firm Risk. University of Florida, May 15 (2003) (Working Paper)
Pennacchi, G.: A Structural Model of Contingent Bank Capital. College of Business, University of Illinois, April 15 (2010) (Working Paper)
Plantin, G., Sapra, H., Shin, H.S.: Marking-to-Market: Panacea or Pandora’s Box? J. Account. Res. 46, 435–460 (2008)
Raviv, A.: Bank Stability and Market Discipline: Debt-for-Equity Swap versus Subordinated Notes. The Hebrew University Business School (2004) (Working Paper)
Ronn, E., Verma, A.: Pricing risk-adjusted deposit insurance: an option-based model. J. Financ. 41, 871–895 (1986)
Ryan, A., Crutchley, J.-P.: Schroedinger’s cat. UBS Investment Research (2011) (Report)
Schonbucher, P.: Credit Derivatives Pricing Models: Models, Pricing and Implementation, 1st edn. Wiley, New York (2003)
Squam Lake Working Group on Financial Regulation: An Expedited Resolution Mechanism for Distressed Financial Firms: Regulatory Hybrid Securities. Council on Foreign Relations, Center for Geoeconomic Studies (2009) (Working Paper)
Su, L., Rieger, M.O.: How Likely is it to Hit a Barrier? Theoretical and Empirical Estimates. University of Zurich, October 24 (2009) (Working Paper)
Sundaresan, S., Wang, Z.: Design of Contingent Capital with a Stock Price Trigger for Mandatory Conversion. FRB of New York Staff, Report No. 448 (2010)
Whittaker, T.: http://www.risk.net/credit/review/2031872/credit-suisse-coco-oversubscription-dispels-concerns-structure. Accessed on 15.02.2012
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I thank Urs Birchler and an anonymous referee for their very helpful comments and suggestions, which made this a much sharper and improved article.
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Buergi, M.P.H. Pricing contingent convertibles: a general framework for application in practice. Financ Mark Portf Manag 27, 31–63 (2013). https://doi.org/10.1007/s11408-012-0203-4
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DOI: https://doi.org/10.1007/s11408-012-0203-4