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Valuation of Exchangeable Convertible Bonds

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  • Marco Realdon

Abstract

This paper provides a structural valuation model for exchangeable convertible bonds, since such bonds are widespread by now. The model is solved through the Hopscotch finite difference method. As the issuer owns the underlying shares, exchangeable convertibles may be called and the exchange option may be exercised even as the issuer experiences financial distress. The value of exchangeable convertibles always decreases in the volatility of the issuer's assets (unlike the value of ordinary convertibles) and decreases in the correlation between the underlying shares and the issuer's assets. The analysis confirms that the dominant motive for issuing exchangeable convertibles is likely to be to dispose of the underlying shares.

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 03/17.

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Handle: RePEc:yor:yorken:03/17

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Keywords: Bond valuation; Structural model; Default risk; Exchangeable convertible; Hopscotch finite difference method;

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  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. 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.
  3. Leland, Hayne E, 1994. " Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-52, September.
  4. K. G. Nyborg, 1996. "The use and pricing of convertible bonds," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(3), pages 167-190.
  5. 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 637-54, May-June.
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