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Tax†adjusted Discount Rates: a General Formula under Constant Leverage Ratios

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  • Peter Molnár
  • Kjell G. Nyborg

Abstract

Cooper and Nyborg (2008) derive a tax†adjusted discount rate formula under a constant proportion leverage policy, investor taxes and risky debt. However, their analysis assumes zero recovery in default. We extend their framework to allow for positive recovery rates. We also allow for differences in bankruptcy codes with respect to the order of priority of interest payments versus repayment of principal in default, which may have tax consequences. The general formula we derive differs from that of Cooper and Nyborg when recovery rates in default are anticipated to be positive. However, under continuous rebalancing, the formula collapses to that of Cooper and Nyborg. We provide an explanation for why the effect of the anticipated recovery rate is not directly visible in the general continuous rebalancing formula, even though this formula is derived under the assumption of partial default. The errors from using the continuous approximation formula are sensitive to the anticipated recovery in default, yet small. The ‘cost of debt’ in the tax adjusted discount rate formula is the debt's yield rather than its expected rate of return.

Suggested Citation

  • Peter Molnár & Kjell G. Nyborg, 2013. "Tax†adjusted Discount Rates: a General Formula under Constant Leverage Ratios," European Financial Management, European Financial Management Association, vol. 19(3), pages 419-428, June.
    • Handle: RePEc:bla:eufman:v:19:y:2013:i:3:p:419-428
    DOI: 10.1111/j.1468-036X.2011.00619.x
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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. 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.
    4. 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.
    5. Robert A. Taggart & Jr., 1991. "Consistent valuation and Cost of Capital Expressions With Corporate and Personal Taxes," Financial Management, Financial Management Association, vol. 20(3), Fall.
    6. Gordon A. Sick, 1990. "Tax-Adjusted Discount Rates," Management Science, INFORMS, vol. 36(12), pages 1432-1450, December.
    7. Miller, Merton H, 1977. "Debt and Taxes," Journal of Finance, American Finance Association, vol. 32(2), pages 261-275, May.
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    Cited by:

    1. 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.
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    3. 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.
    4. 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.
    5. Kim-Duc, Nguyen & Nam, Pham Khanh, 2024. "Earnings growth rates in business valuation models: The impossible quaternity," Global Finance Journal, Elsevier, vol. 60(C).

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