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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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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