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WACC The following table gives Foust Company\'s earnings per share for the last

ID: 2701812 • Letter: W

Question

WACC

The following table gives Foust Company's earnings per share for the last 10 years. The common stock, 8.0 million shares outstanding, is now (1/1/13) selling for $67 per share. The expected dividend at the end of the current year (12/31/13) is 50% of the 2012 EPS. Because investors expect past trends to continue, g may be based on the historical earnings growth rate. (Note that 9 years of growth are reflected in the 10 years of data.)

The current interest rate on new debt is 8%; Foust's marginal tax rate is 40%; and its target capital structure is 30% debt and 70% equity.

Year EPS Year EPS 2003 $3.90 2008 $5.73 2004 4.21 2009 6.19 2005 4.55 2010 6.68 2006 4.91 2011 7.22 2007 5.31 2012 7.80

Explanation / Answer

The EPS has grown from 3.90 to 7.80 in 9 years ( from 1993 to 2002). Using the compound interest formula, you get

7.80=3.90*(1+r/100)^9. Solving for r gives r=8%



The expected dividend (D1) is 50% of 7.80=3.9


Cost of Common Equity = D1/Po+g = (3.9/67)+.08=13.82%



After Tax cost of debt is 8*(1-0.4)=4.8%



WACC = Proportion of debt X cost of debt + Proportion of equity X cost of equity

WACC = 0.3 X 4.8% + 0.7 X 13.82%

WACC= 11.114%