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Capital structure in an option-theoretic setting

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  • Michael L. McIntyre

    (Carleton University)

Abstract

This paper presents an option-theoretic framework for considering capital structure issues. The framework allows for illustration of the effect of leverage using numerical examples that are objective within the model. That is, once the framework is established and reasonable parameter estimates are made, there remains no subjectivity in the effects the model illustrates. As a result, the outcome of this paper amounts to a benchmark case against which one can consider the effects on value and cost of capital should real world conditions deviate from the assumptions we make. We do not conduct empirical tests. While our setup can reproduce earlier theoretical results, it also finds exceptions to the finding that the value curve is concave, as is often referenced in other studies. In addition, we demonstrate that choosing the level of leverage to maximize value is not always equivalent to choosing the level of leverage to minimize cost of capital. Finally, we compare outcomes for weighted average cost of capital based on state-claim expected returns to outcomes for weighted average cost of capital when it is calculated as taught in business schools. We find that in some settings there is a significant difference between the outcomes. Thus, our results suggest that traditional determinations of weighted average cost of capital in high leverage situations may produce misleading results, and that this caution ought to be part of the pedagogical agenda.

Suggested Citation

  • Michael L. McIntyre, 2022. "Capital structure in an option-theoretic setting," SN Business & Economics, Springer, vol. 2(8), pages 1-24, August.
    • Handle: RePEc:spr:snbeco:v:2:y:2022:i:8:d:10.1007_s43546-022-00263-w
    DOI: 10.1007/s43546-022-00263-w
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    1. J. Hirshleifer, 1966. "Investment Decision Under Uncertainty: Applications of the State-Preference Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(2), pages 252-277.
    2. Arditti, Fred D, 1973. "The Weighted Average Cost of Capital: Some Questions on its Definition, Interpretation, and Use," Journal of Finance, American Finance Association, vol. 28(4), pages 1001-1007, September.
    3. Christoffersen, Peter & Feunou, Bruno & Jeon, Yoontae, 2015. "Option valuation with observable volatility and jump dynamics," Journal of Banking & Finance, Elsevier, vol. 61(S2), pages 101-120.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    5. Robichek, Alexander A. & Myers, Stewart C., 1966. "Problems in the Theory of Optimal Capital Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 1(2), pages 1-35, June.
    6. John R. Graham & Mark T. Leary, 2011. "A Review of Empirical Capital Structure Research and Directions for the Future," Annual Review of Financial Economics, Annual Reviews, vol. 3(1), pages 309-345, December.
    7. Dean Corbae & Pablo D’Erasmo, 2021. "Reorganization or Liquidation: Bankruptcy Choice and Firm Dynamics [Does Industry-wide distress Affect Defaulted Firms? Evidence from Creditor Recoveries]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(5), pages 2239-2274.
    8. Stiglitz, Joseph E, 1974. "On the Irrelevance of Corporate Financial Policy," American Economic Review, American Economic Association, vol. 64(6), pages 851-866, December.
    9. Satish Kumar & Sisira Colombage & Purnima Rao, 2017. "Research on capital structure determinants: a review and future directions," International Journal of Managerial Finance, Emerald Group Publishing Limited, vol. 13(2), pages 106-132, April.
    10. Sergei A. Davydenko & Ilya A. Strebulaev & Xiaofei Zhao, 2012. "A Market-Based Study of the Cost of Default," The Review of Financial Studies, Society for Financial Studies, vol. 25(10), pages 2959-2999.
    11. Satish Kumar & Riya Sureka & Sisira Colombage, 2020. "Capital structure of SMEs: a systematic literature review and bibliometric analysis," Management Review Quarterly, Springer, vol. 70(4), pages 535-565, November.
    12. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    13. Ang, James S & Chua, Jess H & McConnell, John J, 1982. "The Administrative Costs of Corporate Bankruptcy: A Note," Journal of Finance, American Finance Association, vol. 37(1), pages 219-226, March.
    14. Brennan, Michael J & Schwartz, Edwardo S, 1978. "Corporate Income Taxes, Valuation, and the Problem of Optimal Capital Structure," The Journal of Business, University of Chicago Press, vol. 51(1), pages 103-114, January.
    15. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    16. Khan Shoaib & Suzuki Yasushi, 2016. "Ownership And Capital Structure Of Pakistani Non-Financial Firms," "e-Finanse", University of Information Technology and Management, Institute of Financial Research and Analysis, vol. 12(1), pages 57-67, June.
    17. Antill, Samuel & Grenadier, Steven R., 2019. "Optimal capital structure and bankruptcy choice: Dynamic bargaining versus liquidation," Journal of Financial Economics, Elsevier, vol. 133(1), pages 198-224.
    18. Stapleton, R C, 1972. "Taxes, the Cost of Capital and the Theory of Investment," Economic Journal, Royal Economic Society, vol. 82(328), pages 1273-1292, December.
    19. DeAngelo, Harry & Masulis, Ronald W., 1980. "Optimal capital structure under corporate and personal taxation," Journal of Financial Economics, Elsevier, vol. 8(1), pages 3-29, March.
    20. Warner, Jerold B, 1977. "Bankruptcy Costs: Some Evidence," Journal of Finance, American Finance Association, vol. 32(2), pages 337-347, May.
    21. Kraus, Alan & Litzenberger, Robert H, 1973. "A State-Preference Model of Optimal Financial Leverage," Journal of Finance, American Finance Association, vol. 28(4), pages 911-922, September.
    22. 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.
    23. Miller, Merton H, 1977. "Debt and Taxes," Journal of Finance, American Finance Association, vol. 32(2), pages 261-275, May.
    24. Andrew Kuritzkes & Til Schuermann & Scott Weiner, 2005. "Deposit Insurance and Risk Management of the U.S. Banking System: What is the Loss Distribution Faced by the FDIC?," Journal of Financial Services Research, Springer;Western Finance Association, vol. 27(3), pages 217-242, September.
    25. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    26. Stiglitz, Joseph E., 1973. "Taxation, corporate financial policy, and the cost of capital," Journal of Public Economics, Elsevier, vol. 2(1), pages 1-34, February.
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    Cited by:

    1. Michael L. McIntyre, 2023. "A characterization of the Lender's position in the context of contractual loan conditions," SN Business & Economics, Springer, vol. 3(8), pages 1-27, August.

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    More about this item

    Keywords

    Capital structure; Optimal leverage; State-claim; Cost of capital;
    All these keywords.

    JEL classification:

    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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