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Unlevered betas and the cost of equity capital: An empirical approach

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  • Sarmiento-Sabogal, Julio
  • Sadeghi, Mehdi

Abstract

The present paper calculates the systematic risk within the context of the capital asset pricing model to investigate the significance of financial leverage on systematic risk. Rather than testing the unlevered beta directly, we develop a multinomial model with theoretically predicted targets in the unleveraged/leveraged process. We find that including tax shields in this process is statistically more robust than omitting them. Our results also suggest that the use of the proxy levered beta to address the lack of market information for both non-traded firms and individual business units is not misleading.

Suggested Citation

  • Sarmiento-Sabogal, Julio & Sadeghi, Mehdi, 2014. "Unlevered betas and the cost of equity capital: An empirical approach," The North American Journal of Economics and Finance, Elsevier, vol. 30(C), pages 90-105.
  • Handle: RePEc:eee:ecofin:v:30:y:2014:i:c:p:90-105
    DOI: 10.1016/j.najef.2014.08.002
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    1. Miles, James A & Ezzell, John R, 1985. "Reformulating Tax Shield Valuation: A Note," Journal of Finance, American Finance Association, vol. 40(5), pages 1485-1492, December.
    2. 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.
    3. 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.
    4. Hamada, Robert S, 1972. "The Effect of the Firm's Capital Structure on the Systematic Risk of Common Stocks," Journal of Finance, American Finance Association, vol. 27(2), pages 435-452, May.
    5. Fernandez, Pablo, 2007. "A more realistic valuation: APV and WACC with constant book leverage ratio," IESE Research Papers D/715, IESE Business School.
    6. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2009. "The Price Is (Almost) Right," Journal of Finance, American Finance Association, vol. 64(6), pages 2739-2782, December.
    7. 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.
    8. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2011. "Robust Inference With Multiway Clustering," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(2), pages 238-249, April.
    9. Rubinstein, Mark E, 1973. "A Mean-Variance Synthesis of Corporate Financial Theory," Journal of Finance, American Finance Association, vol. 28(1), pages 167-181, March.
    10. Thompson, Samuel B., 2011. "Simple formulas for standard errors that cluster by both firm and time," Journal of Financial Economics, Elsevier, vol. 99(1), pages 1-10, January.
    11. Bowman, Robert G, 1979. "The Theoretical Relationship between Systematic Risk and Financial (Accounting) Variables," Journal of Finance, American Finance Association, vol. 34(3), pages 617-630, June.
    12. Beaver, William & Manegold, James, 1975. "The Association between Market-Determined and Accounting-Determined Measures of Systematic Risk: Some Further Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(2), pages 231-284, June.
    13. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    14. Mulford, Cw, 1985. "The Importance Of A Market Value Measurement Of Debt In Leverage Ratios - Replication And Extensions," Journal of Accounting Research, Wiley Blackwell, vol. 23(2), pages 897-906.
    15. Mitchell A. Petersen, 2009. "Estimating Standard Errors in Finance Panel Data Sets: Comparing Approaches," The Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 435-480, January.
    16. Mario Massari & Francesco Roncaglio & Laura Zanetti, 2008. "On the Equivalence between the APV and the wacc Approach in a Growing Leveraged Firm," European Financial Management, European Financial Management Association, vol. 14(1), pages 152-162, January.
    17. Eugene F. Fama & Kenneth R. French, 2008. "Dissecting Anomalies," Journal of Finance, American Finance Association, vol. 63(4), pages 1653-1678, August.
    18. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    19. Robert S. Harris & John J. Pringle, 1985. "Risk-Adjusted Discount Rates-Extensions From The Average-Risk Case," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 8(3), pages 237-244, September.
    20. Mandelker, Gershon N. & Rhee, S. Ghon, 1984. "The Impact of the Degrees of Operating and Financial Leverage on Systematic Risk of Common Stock," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(1), pages 45-57, March.
    21. 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.
    22. John C. Driscoll & Aart C. Kraay, 1998. "Consistent Covariance Matrix Estimation With Spatially Dependent Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 549-560, November.
    23. Bianconi, Marcelo & Chen, Richard & Yoshino, Joe A., 2013. "Firm value, the Sarbanes-Oxley Act and cross-listing in the U.S., Germany and Hong Kong destinations," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 25-44.
    24. Faff, R. W. & Brooks, R. D. & Kee, Ho Yew, 2002. "New evidence on the impact of financial leverage on beta risk: A time-series approach," The North American Journal of Economics and Finance, Elsevier, vol. 13(1), pages 1-20, May.
    25. Rosenberg, Barr & McKibben, Walt, 1973. "The Prediction of Systematic and Specific Risk in Common Stocks," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(2), pages 317-333, March.
    26. Bowman, Rg, 1980. "The Importance Of A Market-Value Measurement Of Debt In Assessing Leverage," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 242-254.
    27. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    28. Fieten, Paul & Kruschwitz, Lutz & Laitenberger, Jorg & Loffler, Andreas & Tham, Joseph & Velez-Pareja, Ignacio & Wonder, Nicholas, 2005. "Comment on "The value of tax shields is NOT equal to the present value of tax shields"," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 184-187, February.
    29. Kai Li & Xinlei Zhao, 2008. "Asymmetric Information and Dividend Policy," Financial Management, Financial Management Association International, vol. 37(4), pages 673-694, December.
    30. Harry F. Griffin & Michael T. Dugan, 2003. "Systematic Risk and Revenue Volatility," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 26(2), pages 179-189, June.
    31. repec:bla:jfinan:v:43:y:1988:i:2:p:507-28 is not listed on IDEAS
    32. Wang, Jia & Meric, Gulser & Liu, Zugang & Meric, Ilhan, 2009. "Stock market crashes, firm characteristics, and stock returns," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1563-1574, September.
    33. Deen Kemsley & Doron Nissim, 2002. "Valuation of the Debt Tax Shield," Journal of Finance, American Finance Association, vol. 57(5), pages 2045-2073, October.
    34. 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.
    35. Cohen, Ruben D, 2007. "Incorporating default risk into Hamada's Equation for application to capital structure," MPRA Paper 3190, University Library of Munich, Germany.
    36. Tham, Joseph & Velez-Pareja, Ignacio, 2004. "Principles of Cash Flow Valuation," Elsevier Monographs, Elsevier, edition 1, number 9780126860405.
    37. 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.
    38. Fernandez, Pablo, 2005. "Reply to "Comment on the value of tax shields is NOT equal to the present value of tax shields"," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(1), pages 188-192, February.
    39. Kent Daniel & Sheridan Titman, 2006. "Market Reactions to Tangible and Intangible Information," Journal of Finance, American Finance Association, vol. 61(4), pages 1605-1643, August.
    40. Fernandez, Pablo, 2004. "Reply to "The value of tax shields is equal to the present value of tax shields"," IESE Research Papers D/576, IESE Business School.
    41. Lev, Baruch, 1974. "On the Association between Operating Leverage and Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(4), pages 627-641, September.
    42. Gonedes, Nicholas J., 1973. "Evidence on the Information Content of Accounting Numbers: Accounting-based and Market-based Estimates of Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(3), pages 407-443, June.
    43. Daniel Hoechle, 2007. "Robust standard errors for panel regressions with cross-sectional dependence," Stata Journal, StataCorp LP, vol. 7(3), pages 281-312, September.
    44. Fernandez, Pablo, 2005. "The value of tax shields is not equal to the present value of tax shields: A correction," IESE Research Papers D/581, IESE Business School.
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    More about this item

    Keywords

    Equity cost; Unlevered beta; Unlisted firms;
    All these keywords.

    JEL classification:

    • 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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