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Valuing Callable Convertible Bonds : a reduced approach

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  • Florence André-Le Pogamp

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Franck Moraux

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper analyses the pricing of corporate callable convertible bonds. It reconciles the applicability of the reduced form approach with optimal strategies usually discussed in the structural approach. One demonstrates that some conditions causing rational voluntary conversions may be effectively neglected. The main contribution of the paper is to show that adjusted American Capped Call options well duplicate 'classical' optimal strategies. Numerical experiments are then conducted.

Suggested Citation

  • Florence André-Le Pogamp & Franck Moraux, 2004. "Valuing Callable Convertible Bonds : a reduced approach," Post-Print halshs-00010137, HAL.
    • Handle: RePEc:hal:journl:halshs-00010137
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    1. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
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    4. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    5. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    6. 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.
    7. Franck Moraux & Patrick Navatte, 2002. "Pricing credit derivatives in credit classes frameworks," Post-Print halshs-00076642, HAL.
    8. Asquith, Paul & Mullins, David W, Jr, 1991. "Convertible Debt: Corporate Call Policy and Voluntary Conversion," Journal of Finance, American Finance Association, vol. 46(4), pages 1273-1289, September.
    9. Broadie, Mark & Detemple, Jerome, 1995. "American Capped Call Options on Dividend-Paying Assets," Review of Financial Studies, Society for Financial Studies, vol. 8(1), pages 161-191.
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    Cited by:

    1. Florence Andre-Le Pogamp & Khalid El Badraoui, 2013. "Security Design of Callable Convertible Bonds and Issuers' External Financing Costs," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 56(1), pages 61-81.

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