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Valuation of Put Options on Leveraged Equity

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Abstract

This paper presents new closed form solutions for the valuation of European put options and of "down-an-in" barrier options written on leveraged equity. Unlike in past literature (Toft and Prucyk, 1997) and in keeping with empirical evidence, the model allows equity to retain value even after the firm's default and reorganisation. This stylised fact can significantly alter the valuation of equity put and "down-and-in" options as bankruptcy costs, bargaining power of equity holders, debt maturity and other firm parameters change. The value of "in-the-money" puts often decreases in the firm's assets volatility. The model can produce a variety of realistic implied equity volatility "skews".

Suggested Citation

  • Marco Realdon, "undated". "Valuation of Put Options on Leveraged Equity," Discussion Papers 03/19, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:03/19
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    References listed on IDEAS

    as
    1. 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.
    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. Mella-Barral, Pierre & Perraudin, William, 1997. "Strategic Debt Service," Journal of Finance, American Finance Association, vol. 52(2), pages 531-556, June.
    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. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    6. Jan Ericsson & Joel Reneby, 2003. "Stock options as barrier contingent claims," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(2), pages 121-147.
    7. repec:bla:jfinan:v:53:y:1998:i:4:p:1213-1243 is not listed on IDEAS
    8. Julian R. Franks & Walter N. Torous, 1989. "An Empirical Investigation of U.S. Firms in Reorganization," Journal of Finance, American Finance Association, vol. 44(3), pages 747-769, July.
    9. 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.
    10. Reneby, Joel & Ericsson, Jan, 2001. "The Valuation of Corporate Liabilities: Theory and Tests," SSE/EFI Working Paper Series in Economics and Finance 445, Stockholm School of Economics, revised 07 Jan 2003.
    11. Hayne Leland, 2019. "Bond Prices, Yield Spreads, and Optimal Capital Structure with Default Risk," Finance, Presses universitaires de Grenoble, vol. 40(3), pages 45-75.
    12. Franks, Julian R. & Torous, Walter N., 1994. "A comparison of financial recontracting in distressed exchanges and chapter 11 reorganizations," Journal of Financial Economics, Elsevier, vol. 35(3), pages 349-370, June.
    13. Anderson, Ronald W. & Sundaresan, Suresh & Tychon, Pierre, 1996. "Strategic analysis of contingent claims," European Economic Review, Elsevier, vol. 40(3-5), pages 871-881, April.
    14. repec:bla:jfinan:v:44:y:1989:i:3:p:747-69 is not listed on IDEAS
    15. Weiss, Lawrence A., 1990. "Bankruptcy resolution: Direct costs and violation of priority of claims," Journal of Financial Economics, Elsevier, vol. 27(2), pages 285-314, October.
    16. 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.
    17. Hayne E. Leland., 1998. "Agency Costs, Risk Management, and Capital Structure," Research Program in Finance Working Papers RPF-278, University of California at Berkeley.
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    More about this item

    Keywords

    Equity put options; Leveraged equity; Default and reorganisation; Barrier options; down-and-in options;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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