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Functional form issues in the regression analysis of financial leverage ratios

  • Joaquim Ramalho


  • J. Silva

Linear models are typically used in the regression analysis of capital structure choices. However, given the proportional and the bounded nature of leverage ratios, models such as the tobit, the fractional regression model and its two-part variant are a better alternative. In this article, we discuss the main econometric assumptions and features of those models, provide a theoretical foundation for their use in the regression analysis of leverage ratios and review some statistical tests suitable to assess their specification. Using a dataset previously considered in the literature, we carry out a comprehensive comparison of the alternative models, finding that in this framework the most relevant functional form issue is the choice between a single model for all capital structure decisions and a two-part model that explains separately the decisions to issue debt and, conditional on the first decision, on the amount of debt to issue. Copyright Springer-Verlag 2013

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Article provided by Springer in its journal Empirical Economics.

Volume (Year): 44 (2013)
Issue (Month): 2 (April)
Pages: 799-831

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Handle: RePEc:spr:empeco:v:44:y:2013:i:2:p:799-831
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  1. Wald, John K, 1999. "How Firm Characteristics Affect Capital Structure: An International Comparison," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 22(2), pages 161-87, Summer.
  2. Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
  3. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-32, Nov.-Dec..
  4. Paul A. Gompers & Andrew Metrick, 1998. "Institutional Investors and Equity Prices," NBER Working Papers 6723, National Bureau of Economic Research, Inc.
  5. Joaquim J.S. Ramalho & Jacinto Vidigal da Silva, 2009. "A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 621-636.
  6. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-93, May.
  7. Cassar, Gavin, 2004. "The financing of business start-ups," Journal of Business Venturing, Elsevier, vol. 19(2), pages 261-283, March.
  8. John, Kose & Knyazeva, Anzhela & Knyazeva, Diana, 2011. "Does geography matter? Firm location and corporate payout policy," Journal of Financial Economics, Elsevier, vol. 101(3), pages 533-551, September.
  9. Ilya A. Strebulaev & Baozhong Yang, 2012. "The Mystery of Zero-Leverage Firms," NBER Working Papers 17946, National Bureau of Economic Research, Inc.
  10. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  11. Malcolm Baker & Jeffrey Wurgler, 2002. "Market Timing and Capital Structure," Journal of Finance, American Finance Association, vol. 57(1), pages 1-32, 02.
  12. Esmeralda Ramalho & Joaquim Ramalho & Pedro Henriques, 2010. "Fractional regression models for second stage DEA efficiency analyses," Journal of Productivity Analysis, Springer, vol. 34(3), pages 239-255, December.
  13. Dang, Viet Anh, 2013. "An empirical analysis of zero-leverage firms: New evidence from the UK," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 189-202.
  14. Cook, Douglas O. & Kieschnick, Robert & McCullough, B.D., 2008. "Regression analysis of proportions in finance with self selection," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 860-867, December.
  15. Eugene F. Fama & Kenneth R. French, 2001. "Disappearing Dividends: Changing Firm Characteristics Or Lower Propensity To Pay?," Journal of Applied Corporate Finance, Morgan Stanley, vol. 14(1), pages 67-79.
  16. Joao Santos Silva & Silvana Tenreyro, 2005. "The Log of Gravity," CEP Discussion Papers dp0701, Centre for Economic Performance, LSE.
  17. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, October.
  18. Bassam Fattouh & Laurence Harris & Pasquale Scaramozzino, 2008. "Non-linearity in the determinants of capital structure: evidence from UK firms," Empirical Economics, Springer, vol. 34(3), pages 417-438, June.
  19. Soku Byoun, 2008. "How and When Do Firms Adjust Their Capital Structures toward Targets?," Journal of Finance, American Finance Association, vol. 63(6), pages 3069-3096, December.
  20. Michael Faulkender & Mitchell A. Petersen, 2006. "Does the Source of Capital Affect Capital Structure?," Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 45-79.
  21. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2009. "Alternative estimating and testing empirical strategies for fractional regression models," CEFAGE-UE Working Papers 2009_08, University of Evora, CEFAGE-UE (Portugal).
  22. Raghuram G. Rajan & Luigi Zingales, 1994. "What Do We Know About Capital Structure? Some Evidence from International Data," NBER Working Papers 4875, National Bureau of Economic Research, Inc.
  23. Ferreira, Daniel & Ferreira, Miguel A. & Raposo, Clara C., 2008. "Board Structure and Price Informativeness," CEI Working Paper Series 2008-4, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
  24. McDonald, John F & Moffitt, Robert A, 1980. "The Uses of Tobit Analysis," The Review of Economics and Statistics, MIT Press, vol. 62(2), pages 318-21, May.
  25. Michael L. Lemmon & Michael R. Roberts & Jaime F. Zender, 2008. "Back to the Beginning: Persistence and the Cross-Section of Corporate Capital Structure," Journal of Finance, American Finance Association, vol. 63(4), pages 1575-1608, 08.
  26. Opler, Tim & Pinkowitz, Lee & Stulz, Rene & Williamson, Rohan, 1999. "The determinants and implications of corporate cash holdings," Journal of Financial Economics, Elsevier, vol. 52(1), pages 3-46, April.
  27. Jensen, Gerald R. & Solberg, Donald P. & Zorn, Thomas S., 1992. "Simultaneous Determination of Insider Ownership, Debt, and Dividend Policies," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(02), pages 247-263, June.
  28. Johnson, Shane A., 1997. "An Empirical Analysis of the Determinants of Corporate Debt Ownership Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(01), pages 47-69, March.
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