An Application of Fuzzy Set Theory to the Weighted Average Cost of Capital and Capital Structure Decision
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Abstract
The purpose of this paper is to present the use of fuzzy logic to improve the calculation of weighted average cost of capital (WACC). The fuzzy WACC approach not only allows the pre-tax cost of debt, the effective tax rate, the tax benefit, and cost of equity to be treated as fuzzy numbers, it also offers ranking means to find the optimal debt ratio. This paper contributes to the literature by offering alternative methods to calculate the WACC and the optimal debt ratio for firms under uncertainty. Compared with the traditional WACC, the fuzzy WACC model can overcome the problems pertinent to uncertainty, complexity and imprecision. This paper thus sheds light on capital structure decision making.
- W. F. Sharpe, “Capital Asset Prices,” Journal of Finance, Vol. 13, No. 3, September 1964, pp. 425-442.
- J. Lintner, “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets,” Review of Economics and Statistics, Vol. 47, 1965, pp. 13-37.
- R. F. Bruner, K.M. Eades, R.S. Harris and R.C. Higgins, “Best Practices in Estimating the Cost of Capital: Survey and Synthesis,” Financial Practice and Education, 1998, pp. 13-28.
- H. J. Bierman, “Capital Budgeting in 1992: A Survey,” Financial Management, Vol. 22, 1993, p. 24.
- L. J. Gitman and P. A. Vandenberg, “Cost of Capital Techniques Used by Major US Firms: 1997 vs. 1980,” Financial Practice and Education, Vol. 10, No. 2, Fall/Winter, 2000, pp. 53-68.
- J. R. Graham and C. R. Harvey, “The Theory and Practice of Corporate Finance: Evidence from the Field,” Journal of Financial Economics, Vol. 60, 2001, pp. 187-244.
- G. Arnold and P. Hatzopoulos, “The Theory-practice Gap in Capital Budgeting: Evidence from the United Kingdom,” Journal of Business Finance and Accounting, Vol. 27, 2000, pp. 603-626.
- E. McLaney, J. Pointon, M. Thoma and J. Tucker, “Practitioners' perspectives on the UK cost of capital,” European Journal of Finance, Vol. 10, 2004, pp. 123-138.
- D. Brounen, A. De Jong and K. Koedijk, “Corporate Finance in Europe: Confronting Theory with Practice,” Financial Management, Vol. 33, No. 4, 2004, pp. 71-101.
- N. Chopra, J. Lakonishok and J. R. Ritter, “Measuring Abnormal Performance: Do Stocks Overreact,” Journal of Financial Economics, Vol. 31, 1992, pp. 235-268.
- E. F. Fama and K.R. French, “The Cross-section of Expected Stock Returns,” The Journal of Finance, Vol. 47, 1992, pp. 427- 465.
- J.L. Davis, “The Cross-section of Realized Stock Returns: The PRE-COMPUSTAT Evidence,” Journal of Finance, Vol. 49, No. 5, 1994, pp. 1579-1593.
- B. M. Barber and J.D. Lyon, “Firm Size, Book-to-market Ratio, and Security Returns: A holdout sample of financial firms,” Journal of Finance, Vol. 52, 1997, PP. 875-883.
- R. Roll, “A Critique of the Asset Pricing Theory’s Tests,” Journal of Financial Economics, Vol. 4, No. 2, 1977, pp. 129-176.
- F. Black, “Beta and Return,” Journal of Portfolio Management, Vol. 20, No. 1, 1993, pp. 8-18.