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Debt policy, corporate taxes, and discount rates

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  • Grinblatt, Mark
  • Liu, Jun

Abstract

This paper applies the standard risk-neutral valuation framework to tax shields generated by dynamic debt policies. We derive a partial differential equation (PDE) for the value of the debt tax shield. For a class of dynamic debt policies that depend on the asset's free cash flows, value, and past performance, we obtain closed-form solutions for the PDE. We also derive the tax-adjusted cost of capital for free cash flows and analyze the conditions under which the weighted average cost of capital is an appropriate discount rate. Finally, we derive closed-form solutions for equity betas, which differ from the formulas that have traditionally been used to lever and unlever equity betas.

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  • Grinblatt, Mark & Liu, Jun, 2008. "Debt policy, corporate taxes, and discount rates," Journal of Economic Theory, Elsevier, vol. 141(1), pages 225-254, July.
    • Handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:225-254
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    Cited by:

    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. Rainer Baule, 2019. "The cost of debt capital revisited," Business Research, Springer;German Academic Association for Business Research, vol. 12(2), pages 721-753, December.
    3. 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.
    4. 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.
    5. Dirk Beyer, 2018. "A matrix approach to valuation and performance measurement based on accounting information considering different financing policies," Journal of Management Control: Zeitschrift für Planung und Unternehmenssteuerung, Springer, vol. 29(1), pages 37-61, March.
    6. Lucia MICHALKOVA & Tomas KLIESTIK, 2019. "The Role Of Risk In The Valuation Of Tax Shield," Proceedings of the INTERNATIONAL MANAGEMENT CONFERENCE, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 13(1), pages 218-233, November.
    7. Marc Steffen Rapp, 2006. "Die arbitragefreie Adjustierung von Diskontierungssätzen bei einfacher Gewinnsteuer," Schmalenbach Journal of Business Research, Springer, vol. 58(6), pages 771-806, September.
    8. Ralf Diedrich & Stefan Dierkes & Hans-Christian Gröger, 2022. "A note on the cost of capital with fixed payout ratios," Review of Quantitative Finance and Accounting, Springer, vol. 59(4), pages 1559-1575, November.
    9. Lin, Hsuan-Chu & Chou, Ting-Kai & Wang, Wen-Gine, 2012. "Capital structure and executive compensation contract design: A theoretical and empirical analysis," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 209-224.
    10. 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.
    11. Andrea Gamba & Gordon A. Sick & Carmen Aranda León, 2008. "Investment under Uncertainty, Debt and Taxes," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 37(1), pages 31-58, February.
    12. 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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    JEL classification:

    • G0 - Financial Economics - - General
    • G1 - Financial Economics - - General Financial Markets

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