Sorensen systems inc. is expected to pay a $2.50 dividend at year end (d1 = $2.50), the dividend is expected to grow at a constant rate of 5.50% a year, and the common stock currently sells for $52.50 a share. the before-tax cost of debt is 7.50%, and the tax rate is 40%. the target capital structure consists of 45% debt and 55% common equity. what is the company's wacc if all the equity used is from retained earnings? 7.07% 7.36% 7.67% 7.98%
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Ответ:
WACC = 7.67%
Explanation:
Firstly we will calculate cost of equity
Using dividend growth model we have
P0 =![\frac{D1}{Ke - g}](/tpl/images/0093/8859/c2c96.png)
Where P0 = Current market price
D1 = Dividend at the end of year 1
Ke = Cost of equity
g = Growth rate
Here $52.5 =![\frac{2.5}{Ke - 0.055}](/tpl/images/0093/8859/c19f4.png)
Ke - 0.055 =![\frac{2.5}{52.5} = 0.0476](/tpl/images/0093/8859/61d7c.png)
Ke = 0.0476 + 0.055 = 0.1026 = 10.26%
Weighted cost of equity = 10.26% X 55 % = 5.643%
Cost of debt after tax = Cost of debt (1 - tax) = 7.5 X (1 - 40%) = 4.5%
Weighted cost of debt = 4.5 X 45% = 2.025%
Company's Weighted Average Cost = Weighted Average Cost of Debt + Weighted average cost of equity = 2.025 + 5.643
=7.67%
Ответ: