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Marginal versus Average Beta of Equity under Corporate Taxation

Author

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  • Lund, Diderik

    (Dept. of Economics, University of Oslo)

Abstract

Even for fully equity-financed firms there may be substantial effects of taxation on the after-tax cost of capital. Among the few studies of these effects, even fewer identify all effects correctly. When marginal investment is taxed together with inframarginal, marginal beta differs from average if there are investmentrelated deductions like depreciation. To calculate asset betas, one should not only "unlever" observed equity betas, but "untax" and "unaverage" them. Risky tax claims are valued as call options, with closed-form solutions for the exercise probability. Results have practical relevance for multinationals operating under different tax systems.

Suggested Citation

  • Lund, Diderik, 2009. "Marginal versus Average Beta of Equity under Corporate Taxation," Memorandum 12/2009, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2009_012
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    File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2009/Memo-12-2009.pdf
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    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. Lund, Diderik, 2006. "Valuation, leverage and the cost of capital in the case of depreciable assets," Working Papers 03-2003, Copenhagen Business School, Department of Economics.
    3. 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.
    4. Benninga, Simon & Sarig, Oded, 2003. "Risk, returns, and values in the presence of differential taxation," Journal of Banking & Finance, Elsevier, vol. 27(6), pages 1123-1138, June.
    5. 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.
    6. Gordon, Roger H & Wilson, John Douglas, 1989. "Measuring the Efficiency Cost of Taxing Risky Capital Income," American Economic Review, American Economic Association, vol. 79(3), pages 427-439, June.
    7. Ray Ball & John Bowers, 1983. "Distortions Created by Taxes Which are Options on Value Creation: The Australian Resources Rent Tax Proposal," Australian Journal of Management, Australian School of Business, vol. 8(2), pages 1-14, December.
    8. Lund, Diderik, 2005. "How to analyze the investment-uncertainty relationship in real option models?," Review of Financial Economics, Elsevier, vol. 14(3-4), pages 311-322.
    9. Alan J. Auerbach & James M. Poterba, 1987. "Tax-Loss Carryforwards and Corporate Tax Incentives," NBER Chapters, in: Taxes and Capital Formation, pages 89-92, National Bureau of Economic Research, Inc.
    10. Levy, Haim & Arditti, Fred D, 1973. "Valuation, Leverage, and the Cost of Capital in the Case of Depreciable Assets," Journal of Finance, American Finance Association, vol. 28(3), pages 687-693, June.
    11. 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.
    12. Marin, Dalia & Schnitzer, Monika, 2011. "When is FDI a capital flow?," European Economic Review, Elsevier, vol. 55(6), pages 845-861, August.
    13. Saman Majd & Stewart C. Myers, 1987. "Tax Asymmetries and Corporate Income Tax Reform," NBER Chapters, in: Taxes and Capital Formation, pages 93-96, National Bureau of Economic Research, Inc.
    14. Bonds, Stephen R. & Devereux, Michael P., 1995. "On the design of a neutral business tax under uncertainty," Journal of Public Economics, Elsevier, vol. 58(1), pages 57-71, September.
    15. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    16. Garnaut, Ross & Clunies Ross, Anthony, 1975. "Uncertainty, Risk Aversion and the Taxing of Natural Resource Projects," Economic Journal, Royal Economic Society, vol. 85(338), pages 272-287, June.
    17. Lawrence H. Summers, 1987. "Investment Incentives and the Discounting of Depreciation Allowances," NBER Chapters, in: The Effects of Taxation on Capital Accumulation, pages 295-304, National Bureau of Economic Research, Inc.
    18. Paul G. Bradley, 1998. "On the Use of Modern Asset Pricing for Comparing Alternative Royalty Systems for Petroleum Development Projects," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 47-81.
    19. Lund, Diderik, 2006. "Taxation and systematic risk under decreasing returns to scale," Working Papers 02-2003, Copenhagen Business School, Department of Economics.
    20. Diderik Lund, 2002. "Taxation, Uncertainty, and the Cost of Equity," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 9(4), pages 483-503, August.
    21. Bulow, Jeremy I & Summers, Lawrence H, 1984. "The Taxation of Risky Assets," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 20-39, February.
    22. Saman Majd & Stewart C. Myers, 1985. "Valuing the Government's Tax Claim on Risky Corporate Assets," NBER Working Papers 1553, National Bureau of Economic Research, Inc.
    23. Hall, Robert E & Jorgenson, Dale W, 1969. "Tax Policy and Investment Behavior: Reply and Further Results," American Economic Review, American Economic Association, vol. 59(3), pages 388-401, June.
    24. Martin Feldstein, 1987. "The Effects of Taxation on Capital Accumulation," NBER Books, National Bureau of Economic Research, Inc, number feld87-1, March.
    25. Henry D. Jacoby & David G. Laughton, 1992. "Project Evaluation: A Pracitcal Asset Pricing Method," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 19-48.
    26. Green, Richard C & Talmor, Eli, 1985. "The Structure and Incentive Effects of Corporate Tax Liabilities," Journal of Finance, American Finance Association, vol. 40(4), pages 1095-1114, September.
    27. Saman Majd & Stewart C. Myers, 1987. "Tax Asymmetries and Corporate Tax Reform," NBER Chapters, in: The Effects of Taxation on Capital Accumulation, pages 343-376, National Bureau of Economic Research, Inc.
    28. Lund,D., 2001. "Taxation, uncertainty, and the cost of equity for a multinational firm," Memorandum 13/2001, Oslo University, Department of Economics.
    29. Diderik Lund, 2002. "Petroleum Tax Reform Proposals in Norway and Denmark," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 37-56.
    30. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    31. Dan Galai, 1998. "Taxes, M‐M Propositions and Government’s Implicit Cost of Capital in Investment Projects in the Private Sector," European Financial Management, European Financial Management Association, vol. 4(2), pages 143-157, July.
    32. Shanker, Latha, 2000. "An innovative analysis of taxes and corporate hedging," Journal of Multinational Financial Management, Elsevier, vol. 10(3-4), pages 237-255, December.
    33. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    34. Gordon Salahor, 1998. "Implications of Output Price Risk and Operating Leverage for the Evaluation of Petroleum Development Projects," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 13-46.
    35. Diderik Lund, 2009. "Rent Taxation for Nonrenewable Resources," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 287-307, September.
    36. Miller, Merton H, 1977. "Debt and Taxes," Journal of Finance, American Finance Association, vol. 32(2), pages 261-275, May.
    37. Lund, Diderik, 2005. "An analytical model of required returns to equity under taxation with imperfect loss offset," Memorandum 13/2005, Oslo University, Department of Economics.
    38. McDonald, Robert & Siegel, Daniel, 1984. "Option Pricing When the Underlying Asset Earns a Below-Equilibrium Rate of Return: A Note," Journal of Finance, American Finance Association, vol. 39(1), pages 261-265, March.
    39. Fane, G., 1987. "Neutral taxation under uncertainty," Journal of Public Economics, Elsevier, vol. 33(1), pages 95-105, June.
    40. Axel Pierru & Denis Babusiaux, 2008. "Valuation of investment projects by an international oil company: a new proof of a straightforward, rigorous method," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 32(3), pages 197-214, September.
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    More about this item

    Keywords

    Cost of capital; WACC; loss offset; tax shields; options;
    All these keywords.

    JEL classification:

    • F23 - International Economics - - International Factor Movements and International Business - - - Multinational Firms; International Business
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • H25 - Public Economics - - Taxation, Subsidies, and Revenue - - - Business Taxes and Subsidies

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