IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2001cf140.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2001/2001cf140.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    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. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
    2. Viral V. Acharya & Jennifer N. Carpenter, 2002. "Corporate Bond Valuation and Hedging with Stochastic Interest Rates and Endogenous Bankruptcy," The Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1355-1383.
    3. 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.
    4. Yuriy Zabolotnyuk & Robert Jones & Chris Veld, 2010. "An Empirical Comparison of Convertible Bond Valuation Models," Financial Management, Financial Management Association International, vol. 39(2), pages 675-706, June.
    5. 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.
    6. 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.
    7. Agarwal, Vikas & Fung, William H. & Loon, Yee Cheng & Naik, Narayan Y., 2004. "Risk and return in convertible arbitrage: Evidence from the convertible bond market," CFR Working Papers 04-03, University of Cologne, Centre for Financial Research (CFR).
    8. Cumhur ÞAHÝN & Hüseyin ALTAY, 2016. "Examination of the Relationship between Turkey’s Credit Default Swap (CDS) Points and Unemployment," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 4(4), pages 52-67, January.
    9. Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2021. "Affine Modeling of Credit Risk, Pricing of Credit Events, and Contagion," Management Science, INFORMS, vol. 67(6), pages 3674-3693, June.
    10. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    11. 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, January-A.
    12. 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.
    13. Marco Realdon, 2010. "After‐tax Valuation of Convertible Bonds and Participation Exemption," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 39(3), pages 147-171, November.
    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. Tim Xiao, 2015. "Is the jump-diffusion model a good solution for credit risk modelling? The case of convertible bonds," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 4(1), pages 1-25.
    16. 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.
    17. 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.
    18. Esteghamat, Kian, 2003. "A boundary crossing model of counterparty risk," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1771-1799, August.
    19. Xiao, Tim, 2013. "A Simple and Precise Method for Pricing Convertible Bond with Credit Risk," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(4), pages 259-277.
    20. King, Tao-Hsien Dolly & Mauer, David C., 2014. "Determinants of corporate call policy for convertible bonds," Journal of Corporate Finance, Elsevier, vol. 24(C), pages 112-134.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:tky:fseres:2001cf140. 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: CIRJE administrative office (email available below). General contact details of provider: https://edirc.repec.org/data/ritokjp.html .

    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.