IDEAS home Printed from https://ideas.repec.org/a/bla/acctfi/v62y2022i2p2385-2399.html
   My bibliography  Save this article

Hamada’s equation and the beta of debt under CAPM

Author

Listed:
  • David Johnstone
  • Steve Tulig

Abstract

The Hamada equation based on Miller–Modigliani (MM) Proposition I shows the ‘no arbitrage’ relationship between the firm’s levered and unlevered beta. This relationship can be obtained from a capital asset pricing model (CAPM). MM is not required because asset prices under CAPM are inherently additive under any arbitrary slicing or securitisation of the firm’s cash flows (the size of the pie is unaffected by how it is cut). Our CAPM theory shows why the market rate of return on debt increases when the firm takes risks that increase its probability of default, even when the risk is idiosyncratic and unconnected to market conditions.

Suggested Citation

  • David Johnstone & Steve Tulig, 2022. "Hamada’s equation and the beta of debt under CAPM," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 62(2), pages 2385-2399, June.
    • Handle: RePEc:bla:acctfi:v:62:y:2022:i:2:p:2385-2399
    DOI: 10.1111/acfi.12868
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/acfi.12868
    Download Restriction: no
    File URL: https://libkey.io/10.1111/acfi.12868?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
    ---><---

    References listed on IDEAS

    as
    1. Galai, Dan & Masulis, Ronald W., 1976. "The option pricing model and the risk factor of stock," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 53-81.
    2. Gwangheon Hong & Sudipto Sarkar, 2007. "Equity Systematic Risk (Beta) and Its Determinants," Contemporary Accounting Research, John Wiley & Sons, vol. 24(2), pages 423-466, June.
    3. David Johnstone, 2020. "Fama's Ratio and the Effect of Operating Leverage on the Cost of Capital Under CAPM," Abacus, Accounting Foundation, University of Sydney, vol. 56(2), pages 268-287, June.
    4. D. J. Johnstone, 2021. "Accounting information, disclosure, and expected utility: Do investors really abhor uncertainty?," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 48(1-2), pages 3-35, January.
    5. Richard Lambert & Christian Leuz & Robert E. Verrecchia, 2007. "Accounting Information, Disclosure, and the Cost of Capital," Journal of Accounting Research, Wiley Blackwell, vol. 45(2), pages 385-420, May.
    6. Bruce Johnson, W. & Magee, Robert P. & Nagarajan, Nandu J. & Newman, Harry A., 1985. "An analysis of the stock price reaction to sudden executive deaths : Implications for the managerial labor market," Journal of Accounting and Economics, Elsevier, vol. 7(1-3), pages 151-174, April.
    7. Jagannathan, Ravi & Matsa, David A. & Meier, Iwan & Tarhan, Vefa, 2016. "Why do firms use high discount rates?," Journal of Financial Economics, Elsevier, vol. 120(3), pages 445-463.
    8. 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.
    9. David Johnstone, 2017. "Sensitivity of the Discount Rate to the Expected Payoff in Project Valuation," Decision Analysis, INFORMS, vol. 14(2), pages 126-136, June.
    10. 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.
    11. David Johnstone, 2016. "The Effect of Information on Uncertainty and the Cost of Capital," Contemporary Accounting Research, John Wiley & Sons, vol. 33(2), pages 752-774, June.
    Full references (including those not matched with items on IDEAS)

    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. David J Johnstone, 2023. "Capital budgeting and Kelly betting," Australian Journal of Management, Australian School of Business, vol. 48(3), pages 625-651, August.
    2. Johnstone, David & Havyatt, David, 2022. "Sophistry and high electricity prices in Australia," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 88(C).
    3. D. J. Johnstone, 2021. "Accounting information, disclosure, and expected utility: Do investors really abhor uncertainty?," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 48(1-2), pages 3-35, January.
    4. David Johnstone, 2020. "Reply to Linnenluecke, Shen, Smith, Zhu, and Liang (2020)," Abacus, Accounting Foundation, University of Sydney, vol. 56(2), pages 292-294, June.
    5. David Johnstone, 2017. "Sensitivity of the Discount Rate to the Expected Payoff in Project Valuation," Decision Analysis, INFORMS, vol. 14(2), pages 126-136, June.
    6. Xuejing Xing & Shan Yan, 2019. "Accounting information quality and systematic risk," Review of Quantitative Finance and Accounting, Springer, vol. 52(1), pages 85-103, January.
    7. Stewart C. Myers & Richard S. Ruback, 1987. "Discounting Rules for Risky Assets," NBER Working Papers 2219, National Bureau of Economic Research, Inc.
    8. Ronald W. Spahr & Pankaj K. Jain & Fariz Huseynov & Bhavik Rajesh Parikh, 2012. "Tax policy and macro-finance in a competitive global economy where government is considered as firms' third financial stakeholder," Global Business and Economics Review, Inderscience Enterprises Ltd, vol. 14(1/2), pages 30-66.
    9. Robison, Lindon J. & Burghardt, William G., 1983. "Five Principles for Building Present Value Models and their Application to Maximum (Minimum) Bid (Sell) Price Models for Land," Agricultural Economic Report Series 201327, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    10. David Johnstone, 2020. "Fama's Ratio and the Effect of Operating Leverage on the Cost of Capital Under CAPM," Abacus, Accounting Foundation, University of Sydney, vol. 56(2), pages 268-287, June.
    11. Cameron Truong & Thu Ha Nguyen & Thanh Huynh, 2021. "Customer satisfaction and the cost of capital," Review of Accounting Studies, Springer, vol. 26(1), pages 293-342, March.
    12. 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.
    13. Rjiba, Hatem & Saadi, Samir & Boubaker, Sabri & Ding, Xiaoya (Sara), 2021. "Annual report readability and the cost of equity capital," Journal of Corporate Finance, Elsevier, vol. 67(C).
    14. Adrian, Christofer & Garg, Mukesh & Viet Pham, Anh & Phang, Soon-Yeow & Truong, Cameron, 2022. "Policy and oversight of corporate political activities and the cost of equity capital," Journal of Contemporary Accounting and Economics, Elsevier, vol. 18(2).
    15. Peter Brusov & Tatiana Filatova, 2023. "Capital Structure Theory: Past, Present, Future," Mathematics, MDPI, vol. 11(3), pages 1-30, January.
    16. Rao Ramesh K. S. & Stevens Eric C, 2006. "The Firm's Cost of Capital, Its Effective Marginal Tax Rate, and the Value of the Government's Tax Claim," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 6(1), pages 1-57, January.
    17. Chang, Jeffery (Jinfan) & Meng, Qingbin & Ni, Xiaoran, 2022. "A tale of riskiness: The real effects of share pledging on the Chinese stock market," Pacific-Basin Finance Journal, Elsevier, vol. 73(C).
    18. 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.
    19. Thaddeus Neururer, 2020. "Past managerial guidance and returns to variance trading around earnings announcements," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 60(3), pages 2995-3031, September.
    20. 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.

    More about this item

    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:bla:acctfi:v:62:y:2022:i:2:p:2385-2399. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/aaanzea.html .

    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.