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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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    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. Rainer Niemann & Mariana Sailer, 2023. "Is analytical tax research alive and kicking? Insights from 2000 until 2022," Journal of Business Economics, Springer, vol. 93(6), pages 1149-1212, August.
    3. Fischer, Max & Krause, Marko & Lahmann, Alexander & Stimper, Franziska, 2022. "Firm valuation with state dependent COD taxation," The Quarterly Review of Economics and Finance, Elsevier, vol. 84(C), pages 550-561.
    4. Andreas Schüler, 2021. "Cross-border DCF valuation: discounting cash flows in foreign currency," Journal of Business Economics, Springer, vol. 91(5), pages 617-654, July.
    5. Stefan Dierkes & Imke Maeyer, 2022. "Terminal value calculation with discontinuous financing and debt categories," Journal of Business Economics, Springer, vol. 92(7), pages 1207-1248, September.
    6. 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.
    7. Alexander Lahmann & Maximilian Schreiter & Bernhard Schwetzler, 2018. "Der Einfluss von Insolvenz, Kapitalstruktur und Fremdkapitalfälligkeit auf den Unternehmenswert [The Impact of Default Risk, Capital Structure, and Debt Maturity on Firm Value]," Schmalenbach Journal of Business Research, Springer, vol. 70(1), pages 73-123, March.
    8. Valentin Haag & Christian Koziol, 2023. "Company Cost of Capital and Leverage: A Simplified Textbook Relationship Revisited," Schmalenbach Journal of Business Research, Springer, vol. 75(1), pages 37-69, March.
    9. Stefan Dierkes & Imke de Maeyer, 2020. "Valuation with mixed financing strategies," Business Research, Springer;German Academic Association for Business Research, vol. 13(3), pages 1317-1341, November.

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    More about this item

    Keywords

    Tax shield; Firm valuation; Default risk; Stochastic discount factor;
    All these keywords.

    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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