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The following table gives Foust Company\'s earnings per share for the last 10 ye

ID: 2738441 • Letter: T

Question

The following table gives Foust Company's earnings per share for the last 10 years. The common stock, 6.4 million shares outstanding, is now (1/1/15) selling for $76 per share. The expected dividend at the end of the current year (12/31/15) is 40% of the 2014 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.)
Year   EPS       Year   EPS
2005   $3.90       2010   $5.73
2006   4.21       2011   6.19
2007   4.55       2012   6.68
2008   4.91       2013   7.22
2009   5.31       2014   7.80
The current interest rate on new debt is 9%; Foust's marginal tax rate is 40%; and its target capital structure is 30% debt and 70% equity.

Calculate Foust's after-tax cost of debt. Round your answer to two decimal places.

%

Calculate Foust's cost of common equity. Calculate the cost of equity as rs = D1/P0 + g. Round your answer to two decimal places.

%

Find Foust's WACC. Round your answer to two decimal places.

%

Explanation / Answer

a) After-tax cost of debt = Cost of debt x (1-tax rate) = 9% x 0.6 = 5.4%

Cost of common equity = Ke
Price of Stock = D1 / Ke – G

D1 = EPS x Dividend Payout Ratio => $7.80 x 0.40 = $3.12

Growth Rate = [($7.80 - $7.22)/$7.22] = 8%
(You can calculate entire data on excel by given way and all will result in 8%)

Cost of common equity:
$76 = $3.12 / (Ke – 0.08)
$76Ke = $3.12 + $6.08
Ke = 12.1053%

b)

WACC = (Weight of debt x cost of debt) + (Weight of equity x cost of equity)
= (30% x 5.4%) + (70% x 12.1053%) = 10.09371%

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