IDEAS home Printed from https://ideas.repec.org/a/kap/rqfnac/v42y2014i4p653-666.html
   My bibliography  Save this article

A simple correction of the WACC discount rate for default risk and bankruptcy costs

Author

Listed:
  • Christian Koziol

Abstract

Standard discounted cash flow approaches suffer from a rudimental modeling of the possibility of a default, as the main characteristics such as the default probability and potential bankruptcy costs are commonly disregarded. This paper aims at providing a tractable extension of the well-known WACC approach for both default risk and bankruptcy costs. The corrected WACC discount rate reveals that default risk results in a systematically higher WACC because the tax component is scaled by the survivorship probability and an aditional component for bankruptcy costs must be added. This difference between the classical WACC discount rate and the simple modified WACC rate can be remarkable especially for firms from businesses with high bankruptcy costs and a relevant default probability. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Christian Koziol, 2014. "A simple correction of the WACC discount rate for default risk and bankruptcy costs," Review of Quantitative Finance and Accounting, Springer, vol. 42(4), pages 653-666, May.
  • Handle: RePEc:kap:rqfnac:v:42:y:2014:i:4:p:653-666
    DOI: 10.1007/s11156-013-0356-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11156-013-0356-x
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11156-013-0356-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. André Farber & Roland Gillet & Ariane Szafarz, 2005. "A general formula for the WACC," Working Papers CEB 05-012.RS, ULB -- Universite Libre de Bruxelles.
    3. John Graham, 2001. "Estimating The Tax Benefits Of Debt," Journal of Applied Corporate Finance, Morgan Stanley, vol. 14(1), pages 42-54, March.
    4. Laurence Booth, 2002. "Finding Value Where None Exists: Pitfalls In Using Adjusted Present Value," Journal of Applied Corporate Finance, Morgan Stanley, vol. 15(1), pages 95-104, March.
    5. Richard S Ruback, 2002. "Capital Cash Flows: A Simple Approach to Valuing Risky Cash Flows," Financial Management, Financial Management Association, vol. 31(2), Summer.
    6. David Laughton & Raul Guerrero & Donald Lessard, 2008. "Real Asset Valuation: A Back‐to‐basics Approach," Journal of Applied Corporate Finance, Morgan Stanley, vol. 20(2), pages 46-65, March.
    7. Ian Cooper & Kjell G. Nyborg, 2007. "Valuing the Debt Tax Shield," Journal of Applied Corporate Finance, Morgan Stanley, vol. 19(2), pages 50-59, March.
    8. 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.
    9. 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.
    10. Gregor Andrade & Steven N. Kaplan, 1998. "How Costly is Financial (Not Economic) Distress? Evidence from Highly Leveraged Transactions that Became Distressed," Journal of Finance, American Finance Association, vol. 53(5), pages 1443-1493, October.
    11. Nyborg, Kjell & Molnár, Peter, 2011. "Tax-Adjusted Discount Rates: A General Formula under Constant Leverage Ratios," CEPR Discussion Papers 8330, C.E.P.R. Discussion Papers.
    12. Warner, Jerold B, 1977. "Bankruptcy Costs: Some Evidence," Journal of Finance, American Finance Association, vol. 32(2), pages 337-347, May.
    13. Isik Inselbag & Howard Kaufold, 1997. "Two Dcf Approaches For Valuing Companies Under Alternative Financing Strategies (And How To Choose Between Them)," Journal of Applied Corporate Finance, Morgan Stanley, vol. 10(1), pages 114-122, March.
    14. 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.
    15. Fernandez, Pablo, 2012. "Ten badly explained topics in most corporate finance books," IESE Research Papers D/954, IESE Business School.
    16. 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.
    17. Imad Moosa & Larry Li, 2012. "Firm-Specific Factors as Determinants of Capital Structure: Evidence From Indonesia," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    18. Aníbal Báez-Díaz & Pervaiz Alam, 2013. "Tax conformity of earnings and the pricing of accruals," Review of Quantitative Finance and Accounting, Springer, vol. 40(3), pages 509-538, April.
    19. Eliezer Fich & Steve Slezak, 2008. "Can corporate governance save distressed firms from bankruptcy? An empirical analysis," Review of Quantitative Finance and Accounting, Springer, vol. 30(2), pages 225-251, February.
    20. Alan T. Wang & Sheng-Yung Yang, 2007. "A Simplified Firm Value-Based Risky Discount Bond Pricing Model," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 445-468.
    21. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Knolle, Julia, 2020. "Prosperity in a Low Interest Environment," MPRA Paper 104332, University Library of Munich, Germany.
    3. Kim-Duc, Nguyen & Nam, Pham Khanh, 2023. "Inflation-related tax distortions in business valuation models: A clarification," The North American Journal of Economics and Finance, Elsevier, vol. 66(C).
    4. 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.
    5. Gil Cohen, 2023. "ESG risks and corporate survival," Environment Systems and Decisions, Springer, vol. 43(1), pages 16-21, March.
    6. Stefan Dierkes & Ulrich Schäfer, 2017. "Corporate taxes, capital structure, and valuation: Combining Modigliani/Miller and Miles/Ezzell," Review of Quantitative Finance and Accounting, Springer, vol. 48(2), pages 363-383, February.
    7. 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.
    8. Zbysław Dobrowolski & Grzegorz Drozdowski & Mirela Panait & Simona Andreea Apostu, 2022. "The Weighted Average Cost of Capital and Its Universality in Crisis Times: Evidence from the Energy Sector," Energies, MDPI, vol. 15(18), pages 1-15, September.
    9. Layla Khoja & Maxwell Chipulu & Ranadeva Jayasekera, 2016. "Analysing corporate insolvency in the Gulf Cooperation Council using logistic regression and multidimensional scaling," Review of Quantitative Finance and Accounting, Springer, vol. 46(3), pages 483-518, April.
    10. Justyna Franc-Dąbrowska & Magdalena Mądra-Sawicka & Anna Milewska, 2021. "Energy Sector Risk and Cost of Capital Assessment—Companies and Investors Perspective," Energies, MDPI, vol. 14(6), pages 1-20, March.
    11. Amilcar A. Menichini, 2017. "On the value and determinants of the interest tax shields," Review of Quantitative Finance and Accounting, Springer, vol. 48(3), pages 725-748, April.
    12. Buttignon Fabio, 2020. "Distressed Firm Valuation: A Scenario Discounted Cash Flow Approach," Journal of Business Valuation and Economic Loss Analysis, De Gruyter, vol. 15(1), pages 1-47, February.
    13. Kwangmin Park & SooCheong (Shawn) Jang, 2018. "Is franchising an additional financing source for franchisors? A Blinder–Oaxaca decomposition analysis," Tourism Economics, , vol. 24(5), pages 541-559, August.
    14. 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.
    15. Wnuczak Paweł, 2018. "Social value added (SVA) as an adaptation of economic value added (EVA) to the specificity of cultural institutions," Journal of Management and Business Administration. Central Europe, Sciendo, vol. 26(1), pages 100-120, March.
    16. Carlo Mari & Marcella Marra, 2017. "Deterministic discounting of risky cash-flows," Journal of Finance and Investment Analysis, SCIENPRESS Ltd, vol. 6(3), pages 1-2.
    17. Lahmann Alexander & Arnold Sven & Gmehling Philipp, 2017. "The Impact of Default on Tax Shield Valuation," Journal of Business Valuation and Economic Loss Analysis, De Gruyter, vol. 12(1), pages 41-62, February.
    18. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fernandez, Pablo, 2007. "A more realistic valuation: APV and WACC with constant book leverage ratio," IESE Research Papers D/715, IESE Business School.
    2. Nguyen Kim-Duc & Pham Khanh Nam, 2024. "Consistent valuation: extensions from bankruptcy costs and tax integration with time-varying debt," Review of Quantitative Finance and Accounting, Springer, vol. 62(2), pages 719-754, February.
    3. 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.
    4. Mike Dempsey, 2013. "Consistent Cash Flow Valuation with Tax†Deductible Debt: a Clarification," European Financial Management, European Financial Management Association, vol. 19(4), pages 830-836, September.
    5. Fernandez, Pablo, 2006. "A general formula for the WACC: A correction," IESE Research Papers D/663, IESE Business School.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Fernandez, Pablo, 2003. "Equivalence of ten different methods for valuing companies by cash flow discounting," IESE Research Papers D/524, IESE Business School.
    11. Fernandez, Pablo, 2005. "Financial literature about discounted cash flow valuation," IESE Research Papers D/606, IESE Business School.
    12. Peter Brusov & Tatiana Filatova, 2023. "Capital Structure Theory: Past, Present, Future," Mathematics, MDPI, vol. 11(3), pages 1-30, January.
    13. 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.
    14. Fernandez, Pablo, 2004. "Equivalence of ten different discounted cash flow valuation methods," IESE Research Papers D/549, IESE Business School.
    15. Schosser, Josef, 2008. "Bewertung ohne "Kapitalkosten": Ein arbitragetheoretischer Ansatz zu Unternehmenswert, Kapitalstruktur und persönlicher Besteuerung," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe 13, University of Passau, Faculty of Business and Economics.
    16. 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.
    17. Richard Sweeney, 2014. "Equivalent valuations in cash flow and accounting models," Review of Quantitative Finance and Accounting, Springer, vol. 42(1), pages 29-49, January.
    18. Amilcar A. Menichini, 2017. "On the value and determinants of the interest tax shields," Review of Quantitative Finance and Accounting, Springer, vol. 48(3), pages 725-748, April.
    19. Michael Dempsey, 2019. "Discounting methods and personal taxes," European Financial Management, European Financial Management Association, vol. 25(2), pages 310-324, March.
    20. Schauten Marc B. J., 2013. "Three discount methods for valuing projects and the required return on equity," Contaduría y Administración, Accounting and Management, vol. 58(1), pages 63-85, enero-mar.

    More about this item

    Keywords

    Firm valuation; Discounted cash flow (DCF); Default risk; WACC approach; G12; G31; G33;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:rqfnac:v:42:y:2014:i:4:p:653-666. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.