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Pricing contingent convertible bonds: An analytical approach based on two-dimensional stochastic processes

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  • Choe, Geon Ho
  • Jang, Hyun Jin
  • Na, Young Hoon

Abstract

In this paper, we study fast pricing methods for contingent convertible bonds (CoCos). Based on two-dimensional stochastic processes, we propose two pricing models for CoCos; a dynamic capital-ratio model and a dynamic debt–equity model. Under these frameworks, we derive analytic-form formulae for CoCos with fixed and floored conversion prices. Many practical implications for analyzing CoCos are observed through numerical tests by choosing the plausible model parameters obtained from empirical results.

Suggested Citation

  • Choe, Geon Ho & Jang, Hyun Jin & Na, Young Hoon, 2019. "Pricing contingent convertible bonds: An analytical approach based on two-dimensional stochastic processes," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 43-53.
    • Handle: RePEc:eee:stapro:v:148:y:2019:i:c:p:43-53
    DOI: 10.1016/j.spl.2018.12.009
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    References listed on IDEAS

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    1. 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.
    2. Paul Glasserman & Behzad Nouri, 2012. "Contingent Capital with a Capital-Ratio Trigger," Management Science, INFORMS, vol. 58(10), pages 1816-1833, October.
    3. Damiano Brigo & João Garcia & Nicola Pede, 2015. "Coco Bonds Pricing With Credit And Equity Calibrated First-Passage Firm Value Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-31.
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