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Tax-Adjusted Discount Rates: A General Formula under Constant Leverage Ratios

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  • Nyborg, Kjell
  • Molnár, Peter

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

  • 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.
    • Handle: RePEc:cpr:ceprdp:8330
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. Gordon A. Sick, 1990. "Tax-Adjusted Discount Rates," Management Science, INFORMS, vol. 36(12), pages 1432-1450, December.
    5. 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. 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.

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    More about this item

    Keywords

    Cost of debt; Partial default; Personal taxes; Risky debt; Tax shields; Tax-adjusted discount rates;
    All these keywords.

    JEL classification:

    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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