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Decomposing and valuing convertible bonds: A new method based on exotic options

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  • Feng, Yun
  • Huang, Bing-hua
  • Young, Martin
  • Zhou, Qi-yuan

Abstract

We use exotic options to develop a complete decomposition method for analyzing callable convertible bonds (CCBs), and puttable callable convertible bonds (PCCBs) with credit risk. Since exotic options are path-dependent while vanilla options are not, exotic options can better address the risk exposure, and better replicate the payoff features of CCBs and PCCBs embedded with path-dependent options, than do vanilla options or warrants used by previous decomposition methods. Our method provides investors with an effective tool to analyze the effects and interactions of the different provisions contained in CCBs and PCCBs. This provides better insight into the valuation and analysis of CCBs and PCCBs.

Suggested Citation

  • Feng, Yun & Huang, Bing-hua & Young, Martin & Zhou, Qi-yuan, 2015. "Decomposing and valuing convertible bonds: A new method based on exotic options," Economic Modelling, Elsevier, vol. 47(C), pages 193-206.
    • Handle: RePEc:eee:ecmode:v:47:y:2015:i:c:p:193-206
    DOI: 10.1016/j.econmod.2015.02.005
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    1. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June.
    2. Jonathan A. Batten & Karren Lee-Hwei Khaw & Martin R. Young, 2014. "Convertible Bond Pricing Models," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 775-803, December.
    3. P. Carr, 1995. "Two extensions to barrier option valuation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(3), pages 173-209.
    4. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 310-331, March.
    5. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    6. Brennan, Michael J. & Schwartz, Eduardo S., 1980. "Analyzing Convertible Bonds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(4), pages 907-929, November.
    7. Barone-Adesi, Giovanni & Bermudez, Ana & Hatgioannides, John, 2003. "Two-factor convertible bonds valuation using the method of characteristics/finite elements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1801-1831, August.
    8. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April.
    9. Tristan Guillaume, 2010. "Step double barrier options," Post-Print hal-00924266, HAL.
    10. Antoon Pelsser, 2000. "Pricing double barrier options using Laplace transforms," Finance and Stochastics, Springer, vol. 4(1), pages 95-104.
    11. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    12. McConnell, John J & Schwartz, Eduardo S, 1986. "LYON Taming," Journal of Finance, American Finance Association, vol. 41(3), pages 561-576, July.
    13. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    14. 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.
    15. K. G. Nyborg, 1996. "The use and pricing of convertible bonds," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(3), pages 167-190.
    16. Mark Broadie & Paul Glasserman & Steven Kou, 1997. "A Continuity Correction for Discrete Barrier Options," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 325-349, October.
    17. Ali Bora Yigitsbasioglu & Dmitri Lvov & Naoufel El-Bachir, 2004. "Pricing Convertible Bonds by Simulation," ICMA Centre Discussion Papers in Finance icma-dp2004-14, Henley Business School, University of Reading, revised Aug 2004.
    18. Brennan, M J & Schwartz, Eduardo S, 1977. "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion," Journal of Finance, American Finance Association, vol. 32(5), pages 1699-1715, December.
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    Cited by:

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