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Reconsidering the appropriate discount rate for tax shield valuation

Author

Listed:
  • Marko Volker Krause

    () (Queensland University of Technology)

  • Alexander Lahmann

    () (HHL Leipzig Graduate School of Management)

Abstract

This paper aims at identifying the appropriate discount rate for tax shield valuation in a setting where a partial default is possible and either principal or interest payments are prioritized in default. As a general valuation framework we use the stochastic discount factor. We assume a tax framework with corporate taxes, tax-deductible interest payments of the firm, no taxes on the cancellation of debt and no personal taxes. We strictly decompose the payments owed to the debtholders into interest and principal payments and analyze discount rates of those claims for the different priorities. As a result of the single-period analysis we find that the discount rate for tax savings, i.e., the conditional expected return on tax savings, is always equal to the discount rate of debt only for a proportional loss distribution on interest and principal payments. If losses are distributed according to one of the priority assumptions, the discount rate of tax savings behaves different from the discount rate of debt and both discount rates are equal only in very special cases. Furthermore, we derive qualitative statements for the relation between the discount rate of debt and the discount rate of tax savings assuming certain correlations between the stochastic discount factor and the debt repayments. Finally, we show how the prioritization assumptions can be implemented in a multi-period setting. We obtain for the presented set of assumptions a pricing equation equivalent to the one by Miles and Ezzell (J Finance 40:1485–1492, 1985).

Suggested Citation

  • Marko Volker Krause & Alexander Lahmann, 2016. "Reconsidering the appropriate discount rate for tax shield valuation," Journal of Business Economics, Springer, vol. 86(5), pages 477-512, July.
  • Handle: RePEc:spr:jbecon:v:86:y:2016:i:5:d:10.1007_s11573-015-0782-4
    DOI: 10.1007/s11573-015-0782-4
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    References listed on IDEAS

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    1. Cooper, Ian A. & Nyborg, Kjell G., 2006. "The value of tax shields IS equal to the present value of tax shields," Journal of Financial Economics, Elsevier, vol. 81(1), pages 215-225, July.
    2. Enrique R. Arzac & Lawrence R. Glosten, 2005. "A Reconsideration of Tax Shield Valuation," European Financial Management, European Financial Management Association, vol. 11(4), pages 453-461, September.
    3. Sheridan Titman & Sergey Tsyplakov, 2007. "A Dynamic Model of Optimal Capital Structure," Review of Finance, European Finance Association, vol. 11(3), pages 401-451.
    4. 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.
    5. Myers, Stewart C, 1974. "Interactions of Corporate Financing and Investment Decisions-Implications for Capital Budgeting," Journal of Finance, American Finance Association, vol. 29(1), pages 1-25, March.
    6. Fernandez, Pablo, 2004. "The value of tax shields is NOT equal to the present value of tax shields," Journal of Financial Economics, Elsevier, vol. 73(1), pages 145-165, July.
    7. 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.
    8. Fieten, Paul & Kruschwitz, Lutz & Laitenberger, Jorg & Loffler, Andreas & Tham, Joseph & Velez-Pareja, Ignacio & Wonder, Nicholas, 2005. "Comment on "The value of tax shields is NOT equal to the present value of tax shields"," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 184-187, February.
    9. Miles, James A. & Ezzell, John R., 1980. "The Weighted Average Cost of Capital, Perfect Capital Markets, and Project Life: A Clarification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 719-730, September.
    10. Bond, Stephen R. & Devereux, Michael P., 2003. "Generalised R-based and S-based taxes under uncertainty," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1291-1311, May.
    11. Joshua D. Coval & Tyler Shumway, 2001. "Expected Option Returns," Journal of Finance, American Finance Association, vol. 56(3), pages 983-1009, June.
    12. Dirk Hackbarth & David C. Mauer, 2012. "Optimal Priority Structure, Capital Structure, and Investment," Review of Financial Studies, Society for Financial Studies, vol. 25(3), pages 747-796.
    13. Miles, James A & Ezzell, John R, 1985. "Reformulating Tax Shield Valuation: A Note," Journal of Finance, American Finance Association, vol. 40(5), pages 1485-1492, December.
    14. Ian A. Cooper & Kjell G. Nyborg, 2008. "Tax‐Adjusted Discount Rates with Investor Taxes and Risky Debt," Financial Management, Financial Management Association International, vol. 37(2), pages 365-379, June.
    15. Fama, Eugene F., 1977. "Risk-adjusted discount rates and capital budgeting under uncertainty," Journal of Financial Economics, Elsevier, vol. 5(1), pages 3-24, August.
    16. Gordon A. Sick, 1990. "Tax-Adjusted Discount Rates," Management Science, INFORMS, vol. 36(12), pages 1432-1450, December.
    17. Robert Couch & Michael Dothan & Wei Wu, 2012. "Interest Tax Shields: A Barrier Options Approach," Review of Quantitative Finance and Accounting, Springer, vol. 39(1), pages 123-146, July.
    18. In Joon Kim & Krishna Ramaswamy & Suresh Sundaresan, 1993. "Does Default Risk in Coupons Affect the Valuation of Corporate Bonds?: A Contingent Claims Model," Financial Management, Financial Management Association, vol. 22(3), Fall.
    19. Kay Blaufus & Jochen Hundsdoerfer, 2008. "Taxes and the choice between risky and risk-free debt: on the neutrality of credit default taxation," Review of Managerial Science, Springer, vol. 2(3), pages 161-181, November.
    20. John R. Graham, 2003. "Taxes and Corporate Finance: A Review," Review of Financial Studies, Society for Financial Studies, vol. 16(4), pages 1075-1129.
    21. Merton H. Miller, 1991. "Tax Obstacles To Voluntary Corporate Restructuring," Journal of Applied Corporate Finance, Morgan Stanley, vol. 4(3), pages 20-23, September.
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    Citations

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    Cited by:

    1. Krause, Marko & Lahmann, Alexander, 2017. "Valuation effects of taxes on debt cancellation," The Quarterly Review of Economics and Finance, Elsevier, vol. 65(C), pages 346-354.
    2. Sven Arnold & Alexander Lahmann & Bernhard Schwetzler, 2018. "Discontinuous financing based on market values and the value of tax shields," Business Research, Springer;German Academic Association for Business Research, vol. 11(1), pages 149-171, February.

    More about this item

    Keywords

    Tax shield; Firm valuation; Default risk; Stochastic discount factor;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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