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Stock options as barrier contingent claims

Author

Listed:
  • Jan Ericsson
  • Joel Reneby

Abstract

A comprehensive model is suggested that values securities as options and consequently ordinary stock options as compound options. Extending the basic Black-Scholes model, it can incorporate common contractual features and stylized facts. More specifically, a closed form solution is derived for the price of a call option on a down-and-out call. It is then shown how the result obtained can be generalized in order to price options on complex corporate securities, allowing among other things for corporate taxation, costly financial distress and deviations from the absolute priority rule. The characteristics of the model are illustrated with numerical examples.

Suggested Citation

  • Jan Ericsson & Joel Reneby, 2003. "Stock options as barrier contingent claims," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(2), pages 121-147.
    • Handle: RePEc:taf:apmtfi:v:10:y:2003:i:2:p:121-147
    DOI: 10.1080/1350486032000088921
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    References listed on IDEAS

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    1. P. Carr, 1995. "Two extensions to barrier option valuation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(3), pages 173-209.
    2. 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.
    3. Jan Ericsson & Joel Reneby, 1998. "A framework for valuing corporate securities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 5(3-4), pages 143-163.
    4. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    5. Leland, Hayne E & Toft, Klaus Bjerre, 1996. "Optimal Capital Structure, Endogenous Bankruptcy, and the Term Structure of Credit Spreads," Journal of Finance, American Finance Association, vol. 51(3), pages 987-1019, July.
    6. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    7. Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
    8. 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.
    9. 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 637-654, May-June.
    10. repec:bla:jfinan:v:53:y:1998:i:6:p:2225-2241 is not listed on IDEAS
    11. Rubinstein, Mark, 1994. "Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
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    Citations

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    Cited by:

    1. Reindl, Johann & Stoughton, Neal & Zechner, Josef, 2013. "Market implied costs of bankruptcy," CFS Working Paper Series 2013/27, Center for Financial Studies (CFS).
    2. Hanke, Michael, 2005. "Pricing options on leveraged equity with default risk and exponentially increasing, finite maturity debt," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 389-421, March.
    3. Rossella Agliardi, 2011. "A comprehensive structural model for defaultable fixed-income bonds," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 749-762.
    4. Michele Bufalo & Antonio Di Bari & Giovanni Villani, 2022. "Multi-stage real option evaluation with double barrier under stochastic volatility and interest rate," Annals of Finance, Springer, vol. 18(2), pages 247-266, June.
    5. Marco Realdon, "undated". "Valuation of Put Options on Leveraged Equity," Discussion Papers 03/19, Department of Economics, University of York.
    6. Maria Carmen Badia Batlle & M. Mercedes Galisteo Rodriguez & M. Teresa Preixens Benedicto, 2006. "Un modelo de riesgo de credito basado en opciones compuestas con barrera. Aplicacion al mercado continuo espanol," Working Papers in Economics 156, Universitat de Barcelona. Espai de Recerca en Economia.

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    More about this item

    Keywords

    model; stock options; corporate securities;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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