IDEAS home Printed from https://ideas.repec.org/a/eee/jbfina/v42y2014icp339-351.html
   My bibliography  Save this article

Close form pricing formulas for Coupon Cancellable CoCos

Author

Listed:
  • Corcuera, José Manuel
  • De Spiegeleer, Jan
  • Fajardo, José
  • Jönsson, Henrik
  • Schoutens, Wim
  • Valdivia, Arturo

Abstract

Contingent Convertibles (“CoCos”) are contingent capital instruments which convert into shares, or have a principal write down, if a trigger event takes place. CoCos exhibit the undesirable so-called death-spiral effect: by actively hedging the equity risk, investors can (unintentionally) force the conversion by making the share price deteriorate and eventually trigger the conversion.

Suggested Citation

  • Corcuera, José Manuel & De Spiegeleer, Jan & Fajardo, José & Jönsson, Henrik & Schoutens, Wim & Valdivia, Arturo, 2014. "Close form pricing formulas for Coupon Cancellable CoCos," Journal of Banking & Finance, Elsevier, vol. 42(C), pages 339-351.
    • Handle: RePEc:eee:jbfina:v:42:y:2014:i:c:p:339-351
    DOI: 10.1016/j.jbankfin.2014.01.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378426614000399
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jbankfin.2014.01.025?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    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. Stan Maes & Wim Schoutens, 2012. "Contingent Capital: An In-Depth Discussion," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 41(1-2), pages 59-79, February.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Alexander Lipton, 2001. "Mathematical Methods for Foreign Exchange:A Financial Engineer's Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 4694, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pierre Durand & Gaëtan Le Quang, 2020. "Banks to basics! Why banking regulation should focus on equity," EconomiX Working Papers 2020-2, University of Paris Nanterre, EconomiX.
    2. Donatien Hainaut & Yang Shen & Yan Zeng, 2018. "How do capital structure and economic regime affect fair prices of bank’s equity and liabilities?," Annals of Operations Research, Springer, vol. 262(2), pages 519-545, March.
    3. Jan De Spiegeleer & Stephan Höcht & Ine Marquet & Wim Schoutens, 2017. "CoCo bonds and implied CET1 volatility," Quantitative Finance, Taylor & Francis Journals, vol. 17(6), pages 813-824, June.
    4. Wolff, Christian & Masror Khah, Sara Abed, 2015. "The Determinants of CoCo Bond Prices," CEPR Discussion Papers 10996, C.E.P.R. Discussion Papers.
    5. Jang, Hyun Jin & Na, Young Hoon & Zheng, Harry, 2018. "Contingent convertible bonds with the default risk premium," International Review of Financial Analysis, Elsevier, vol. 59(C), pages 77-93.
    6. Gaëtan Le Quang, 2019. "Mind the Conversion Risk: a Theoretical Assessment of Contingent Convertible Bonds," Working Papers hal-04141886, HAL.
    7. José Fajardo, 2018. "Barrier style contracts under Lévy processes once again," Annals of Finance, Springer, vol. 14(1), pages 93-103, February.
    8. 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.
    9. Caporale, Guglielmo Maria & Kang, Woo-Young, 2021. "On the preferences of CoCo bond buyers and sellers," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 72(C).
    10. Francesca Erica Di Girolamo & Francesca Campolongo & Jan De Spiegeleer & Wim Schoutens, 2017. "Contingent conversion convertible bond: New avenue to raise bank capital," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-31, March.
    11. José Fajardo, 2017. "A new factor to explain implied volatility smirk," Applied Economics, Taylor & Francis Journals, vol. 49(40), pages 4026-4034, August.
    12. 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.
    13. Jos'e Manuel Corcuera & Arturo Valdivia, 2016. "CoCos under short-term uncertainty," Papers 1602.00094, arXiv.org.
    14. Gaëtan Le Quang, 2019. "Mind the Conversion Risk: a Theoretical Assessment of Contingent Convertible Bonds," EconomiX Working Papers 2019-5, University of Paris Nanterre, EconomiX.
    15. Durand, Pierre & Le Quang, Gaëtan, 2022. "Banks to basics! Why banking regulation should focus on equity," European Journal of Operational Research, Elsevier, vol. 301(1), pages 349-372.
    16. Donatien Hainaut & Yan Shen & Yan Zeng, 2016. "How do capital structure and economic regime affect fair prices of bank's equity and liabilities?," Post-Print hal-01394133, HAL.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stylianos Perrakis & Rui Zhong, 2017. "Liquidity Risk and Volatility Risk in Credit Spread Models: A Unified Approach," European Financial Management, European Financial Management Association, vol. 23(5), pages 873-901, October.
    2. Chenxu Li, 2014. "Closed-Form Expansion, Conditional Expectation, and Option Valuation," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 487-516, May.
    3. Wen Su, 2021. "Default Distances Based on the CEV-KMV Model," Papers 2107.10226, arXiv.org, revised May 2022.
    4. Jobst, Andreas A., 2014. "Measuring systemic risk-adjusted liquidity (SRL)—A model approach," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 270-287.
    5. Dong-Mei Zhu & Jiejun Lu & Wai-Ki Ching & Tak-Kuen Siu, 2019. "Option Pricing Under a Stochastic Interest Rate and Volatility Model with Hidden Markovian Regime-Switching," Computational Economics, Springer;Society for Computational Economics, vol. 53(2), pages 555-586, February.
    6. Robert F. Engle & Emil N. Siriwardane, 2018. "Structural GARCH: The Volatility-Leverage Connection," The Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 449-492.
    7. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    8. Chatterjee, Somnath & Jobst, Andreas, 2019. "Market-implied systemic risk and shadow capital adequacy," Bank of England working papers 823, Bank of England.
    9. Marcos Escobar & Christoph Gschnaidtner, 2018. "A multivariate stochastic volatility model with applications in the foreign exchange market," Review of Derivatives Research, Springer, vol. 21(1), pages 1-43, April.
    10. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011.
    11. Thaddeus Neururer & George Papadakis & Edward J. Riedl, 2016. "Tests of investor learning models using earnings innovations and implied volatilities," Review of Accounting Studies, Springer, vol. 21(2), pages 400-437, June.
    12. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    13. Choi, Jaewon & Richardson, Matthew, 2016. "The volatility of a firm's assets and the leverage effect," Journal of Financial Economics, Elsevier, vol. 121(2), pages 254-277.
    14. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    15. Daniël Vullings, 2016. "Contingent convertible bonds with floating coupon payments: fixing the equilibrium problem," DNB Working Papers 517, Netherlands Central Bank, Research Department.
    16. Cheng Few Lee & Yibing Chen & John Lee, 2020. "Alternative Methods to Derive Option Pricing Models: Review and Comparison," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 102, pages 3573-3617, World Scientific Publishing Co. Pte. Ltd..
    17. Alexander Lipton, 2024. "Hydrodynamics of Markets:Hidden Links Between Physics and Finance," Papers 2403.09761, arXiv.org.
    18. 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.
    19. Christian Gourieroux & Razvan Sufana, 2004. "Derivative Pricing with Multivariate Stochastic Volatility : Application to Credit Risk," Working Papers 2004-31, Center for Research in Economics and Statistics.
    20. Alexander Lipton & Andrey Gal & Andris Lasis, 2014. "Pricing of vanilla and first-generation exotic options in the local stochastic volatility framework: survey and new results," Quantitative Finance, Taylor & Francis Journals, vol. 14(11), pages 1899-1922, November.

    More about this item

    Keywords

    Contingent convertibles; Credit risk; Structural approach; First passage times;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jbfina:v:42:y:2014:i:c:p:339-351. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jbf .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.