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Pricing Convertible Bonds with Default Risk: A Duffie-Singleton Approach

Author

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  • Akihiko Takahashi

    (Graduate School of Mathematical Science, University of Tokyo)

  • Takao Kobayashi

    (Faculty of Economics, University of Tokyo)

  • Naruhisa Nakagawa

    (Equity Division, Goldman Sachs (Japan), Ltd.)

Abstract

We propose a new method to value convertible bonds(CBs). In particular, we explicitly take default risk into consideration based on Duffie-Singleton(1999), and provide a consistent and practical method for relative pricing of securities issued by a firm such as CBs, non-convertible corporate bonds and equities. Moreover, we show numerical examples using Japanese CBs' data, and compare our model with other practical models.

Suggested Citation

  • Akihiko Takahashi & Takao Kobayashi & Naruhisa Nakagawa, 2001. "Pricing Convertible Bonds with Default Risk: A Duffie-Singleton Approach," CIRJE F-Series CIRJE-F-140, CIRJE, Faculty of Economics, University of Tokyo.
  • Handle: RePEc:tky:fseres:2001cf140
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2001/2001cf140.pdf
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    References listed on IDEAS

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    1. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    2. 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.
    3. Brennan, Michael J. & Schwartz, Eduardo S., 1980. "Analyzing Convertible Bonds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(04), pages 907-929, November.
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    Cited by:

    1. Christopher Beveridge & Mark Joshi, 2011. "Monte Carlo Bounds for Game Options Including Convertible Bonds," Management Science, INFORMS, vol. 57(5), pages 960-974, May.
    2. Taiga Saito, 2016. "Pricing Foreign Exchange Options Under Intervention by Absorption Modeling," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(1), pages 85-106, March.
    3. Finnerty, John D., 2015. "Valuing convertible bonds and the option to exchange bonds for stock," Journal of Corporate Finance, Elsevier, vol. 31(C), pages 91-115.
    4. Xu, Ruxing, 2011. "A lattice approach for pricing convertible bond asset swaps with market risk and counterparty risk," Economic Modelling, Elsevier, vol. 28(5), pages 2143-2153, September.
    5. Alex W.H. Chan & Nai-fu Chen, 2006. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning and Convergence (Published in "Management Science", Vol. 53, No. 11, November 2007, pp. 1793.1814. )," CARF F-Series CARF-F-075, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. Alex W. H. Chan & Nai-fu Chen, 2007. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning, and Convergence," Management Science, INFORMS, vol. 53(11), pages 1793-1814, November.
    7. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, pages 310-331.
    8. Alex W.H. Chan & Nai-fu Chen, 2006. "Convertible Bond Underpricing: Renegotiable Covenants, Seasoning and Convergence," CIRJE F-Series CIRJE-F-437, CIRJE, Faculty of Economics, University of Tokyo.
    9. Agostino Capponi & Stefano Pagliarani & Tiziano Vargiolu, 2014. "Pricing vulnerable claims in a Lévy-driven model," Finance and Stochastics, Springer, vol. 18(4), pages 755-789, October.
    10. Feng, Yun & Huang, Bing-hua & Huang, Yu, 2016. "Valuing resettable convertible bonds: Based on path decomposing," Finance Research Letters, Elsevier, vol. 19(C), pages 279-290.
    11. 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, Reading University, revised Aug 2004.
    12. Yagi, Kyoko & Takashima, Ryuta, 2012. "The impact of convertible debt financing on investment timing," Economic Modelling, Elsevier, vol. 29(6), pages 2407-2416.
    13. Siddiqi, Mazhar A., 2009. "Investigating the effectiveness of convertible bonds in reducing agency costs: A Monte-Carlo approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(4), pages 1360-1370, November.
    14. Zhou, Qi-Yuan & Wu, Chong-Feng & Feng, Yun, 2007. "Decomposing and valuing callable convertible bonds: a new method based on exotic options," MPRA Paper 7421, University Library of Munich, Germany.
    15. Sanjiv R. Das & Rangarajan K. Sundaram, 2007. "An Integrated Model for Hybrid Securities," Management Science, INFORMS, vol. 53(9), pages 1439-1451, September.
    16. repec:wsi:ijfexx:v:04:y:2017:i:01:n:s2424786317500013 is not listed on IDEAS

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