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Single and Double Black-Cox: Two approaches for modelling debt restructuring

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  • Abínzano, Isabel
  • Seco, Luis
  • Escobar, Marcos
  • Olivares, Pablo

Abstract

In this paper we propose two first-passage-time approaches for pricing debt and equity when the firm is able to restructure its debt as an alternative to liquidation. In contrast to other first passage models that account for reorganization, our approaches allow the firm to restructure its debt by changing its maturity and/or its face value. The first approach developed consists of a first-passage model for reorganization together with a Merton approach for default, while the second approach uses first-passage models for both reorganization and default. We also provide a comparison of the proposed approaches with the Merton (Merton, R.C., 1974. On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance, 29, 449-470.) and Black and Cox (Black, F. and Cox, J.C., 1976, Valuing corporate securities: Some effects of bond indenture provisions. Journal of Finance, 31, 351-367.) models.

Suggested Citation

  • Abínzano, Isabel & Seco, Luis & Escobar, Marcos & Olivares, Pablo, 2009. "Single and Double Black-Cox: Two approaches for modelling debt restructuring," Economic Modelling, Elsevier, vol. 26(5), pages 910-917, September.
  • Handle: RePEc:eee:ecmode:v:26:y:2009:i:5:p:910-917
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    References listed on IDEAS

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    1. Galai, Dan & Raviv, Alon & Wiener, Zvi, 2007. "Liquidation triggers and the valuation of equity and debt," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3604-3620, December.
    2. Michael C. Jensen, 2010. "Active Investors, LBOs, and the Privatization of Bankruptcy," Journal of Applied Corporate Finance, Morgan Stanley, vol. 22(1), pages 77-85, January.
    3. 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.
    4. Sris Chatterjee & Upinder S. Dhillon & Gabriel G. Ramirez, 1996. "Resolution of Financial Distress : Debt Restructurings via Chapter 11, Prepackaged Bankruptcies, and Workouts," Financial Management, Financial Management Association, vol. 25(1), Spring.
    5. Jan Ericsson & Joel Reneby, 1998. "A framework for valuing corporate securities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 5(3-4), pages 143-163.
    6. 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.
    7. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    8. Beck, Thorsten & Demirguc-Kunt, Asli & Levine, Ross, 2006. "Bank concentration, competition, and crises: First results," Journal of Banking & Finance, Elsevier, vol. 30(5), pages 1581-1603, May.
    9. Franks, Julian R & Torous, Walter N, 1989. " An Empirical Investigation of U.S. Firms in Reorganization," Journal of Finance, American Finance Association, vol. 44(3), pages 747-769, July.
    10. Chatterjee, Sris & Dhillon, Upinder S. & Ramirez, Gabriel G., 1995. "Coercive tender and exchange offers in distressed high-yield debt restructurings An empirical analysis," Journal of Financial Economics, Elsevier, vol. 38(3), pages 333-360, July.
    11. Chi, Li-Chiu & Tang, Tseng-Chung, 2007. "Impact of reorganization announcements on distressed-stock returns," Economic Modelling, Elsevier, vol. 24(5), pages 749-767, September.
    12. Timothy C. G. Fisher & Jocelyn Martel, 2003. "The Effect of Bankruptcy Reform on the Number of Corporate Reorganization Proposals," Canadian Public Policy, University of Toronto Press, vol. 29(3), pages 339-349, September.
    13. Dumitrescu, Ariadna, 2007. "Valuation of defaultable bonds and debt restructuring," Journal of Corporate Finance, Elsevier, vol. 13(1), pages 94-111, March.
    14. Longstaff, Francis A, 1990. "Pricing Options with Extendible Maturities: Analysis and Applications," Journal of Finance, American Finance Association, vol. 45(3), pages 935-957, July.
    15. Fan, Hua & Sundaresan, Suresh M, 2000. "Debt Valuation, Renegotiation, and Optimal Dividend Policy," The Review of Financial Studies, Society for Financial Studies, vol. 13(4), pages 1057-1099.
    16. Haugen, Robert A. & Senbet, Lemma W., 1988. "Bankruptcy and Agency Costs: Their Significance to the Theory of Optimal Capital Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 27-38, March.
    17. Altman, Edward I, 1984. "A Further Empirical Investigation of the Bankruptcy Cost Question," Journal of Finance, American Finance Association, vol. 39(4), pages 1067-1089, September.
    18. Haugen, Robert A & Senbet, Lemma W, 1978. "The Insignificance of Bankruptcy Costs to the Theory of Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 33(2), pages 383-393, May.
    19. Warner, Jerold B, 1977. "Bankruptcy Costs: Some Evidence," Journal of Finance, American Finance Association, vol. 32(2), pages 337-347, May.
    20. Hua He & William P. Keirstead & Joachim Rebholz, 1998. "Double Lookbacks," Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 201-228, July.
    21. Branch, Ben, 2002. "The costs of bankruptcy: A review," International Review of Financial Analysis, Elsevier, vol. 11(1), pages 39-57.
    22. Gertner, Robert & Scharfstein, David, 1991. "A Theory of Workouts and the Effects of Reorganization Law," Journal of Finance, American Finance Association, vol. 46(4), pages 1189-1222, September.
    23. Pascal Francois, 2004. "Capital Structure and Asset Prices: Some Effects of Bankruptcy Procedures," The Journal of Business, University of Chicago Press, vol. 77(2), pages 387-412, April.
    24. Gilson, Stuart C. & John, Kose & Lang, Larry H. P., 1990. "Troubled debt restructurings*1: An empirical study of private reorganization of firms in default," Journal of Financial Economics, Elsevier, vol. 27(2), pages 315-353, October.
    25. Brown, David T, 1989. "Claimholder Incentive Conflicts in Reorganization: The Role of Bankruptcy Law," The Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 109-123.
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    Cited by:

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    3. Ayadi, Mohamed A. & Ben-Ameur, Hatem & Fakhfakh, Tarek, 2016. "A dynamic program for valuing corporate securities," European Journal of Operational Research, Elsevier, vol. 249(2), pages 751-770.
    4. Ballestra, Luca Vincenzo & Pacelli, Graziella & Radi, Davide, 2020. "Modeling CDS spreads: A comparison of some hybrid approaches," Journal of Empirical Finance, Elsevier, vol. 57(C), pages 107-124.

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