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Callable risky perpetual debt with protection period

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  • Mjøs, Aksel
  • Persson, Svein-Arne

Abstract

Issuances in the USD 260 Bn global market of perpetual risky debt are often motivated by capital requirements for financial institutions. We analyze callable risky perpetual debt emphasizing an initial protection ('grace') period before the debt may be called. The total market value of debt including the call option is expressed as a portfolio of perpetual debt and barrier options with a time dependent barrier. We also analyze how an issuer's optimal bankruptcy decision is affected by the existence of the call option by using closed-form approximations. The model quantifies the increased coupon and the decreased initial bankruptcy level caused by the embedded option. Examples indicate that our closed form model produces reasonably precise coupon rates compared to numerical solutions. The credit-spread produced by our model is in a realistic order of magnitude compared to market data.

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  • Mjøs, Aksel & Persson, Svein-Arne, 2010. "Callable risky perpetual debt with protection period," European Journal of Operational Research, Elsevier, vol. 207(1), pages 391-400, November.
    • Handle: RePEc:eee:ejores:v:207:y:2010:i:1:p:391-400
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    References listed on IDEAS

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    1. Mjøs, Aksel & Persson, Svein-Arne, 2009. "A Model of Deferred Callability in Defaultable Debt," Discussion Papers 2009/4, Norwegian School of Economics, Department of Business and Management Science.
    2. Sarkar, Sudipto & Hong, Gwangheon, 2004. "Effective duration of callable corporate bonds: Theory and evidence," Journal of Banking & Finance, Elsevier, vol. 28(3), pages 499-521, March.
    3. Goldstein, Robert & Ju, Nengjiu & Leland, Hayne, 2001. "An EBIT-Based Model of Dynamic Capital Structure," The Journal of Business, University of Chicago Press, vol. 74(4), pages 483-512, October.
    4. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    5. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    6. Kish, Richard J. & Livingston, Miles, 1992. "Determinants of the call option on corporate bonds," Journal of Banking & Finance, Elsevier, vol. 16(4), pages 687-703, August.
    7. Toft, Klaus Bjerre & Prucyk, Brian, 1997. "Options on Leveraged Equity: Theory and Empirical Tests," Journal of Finance, American Finance Association, vol. 52(3), pages 1151-1180, July.
    8. Emanuel, David, 1983. "A Theoretical Model for Valuing Preferred Stock," Journal of Finance, American Finance Association, vol. 38(4), pages 1133-1155, September.
    9. Sarkar, Sudipto, 2001. "Probability of call and likelihood of the call feature in a corporate bond," Journal of Banking & Finance, Elsevier, vol. 25(3), pages 505-533, March.
    10. Rubinstein, Mark, 1983. "Displaced Diffusion Option Pricing," Journal of Finance, American Finance Association, vol. 38(1), pages 213-217, March.
    11. Ingersoll, Jonathan Jr., 1977. "A contingent-claims valuation of convertible securities," Journal of Financial Economics, Elsevier, vol. 4(3), pages 289-321, May.
    12. 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..
    13. 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.
    14. Broadie, Mark & Kaya, Özgür, 2007. "A Binomial Lattice Method for Pricing Corporate Debt and Modeling Chapter 11 Proceedings," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(2), pages 279-312, June.
    15. 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.
    16. Johnson, Herb & Stulz, Rene, 1987. "The Pricing of Options with Default Risk," Journal of Finance, American Finance Association, vol. 42(2), pages 267-280, June.
    17. King, Tao-Hsien Dolly, 2007. "Are embedded calls valuable? Evidence from agency bonds," Journal of Banking & Finance, Elsevier, vol. 31(1), pages 57-79, January.
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    1. Mjøs, Aksel & Persson, Svein-Arne, 2010. "A simple model of deferred callability in defaultable debt," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1350-1357, December.

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