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22 April, 02:51

Assume the market value of Fords' equity, preferred stock, and debt are$6 billion, $2 billion, and $13 billion, respectively. Ford has a beta of 1.7, the market risk premium is 8%, and the risk-free rate of interest is 3%. Ford's preferred stock pays a dividend of $4 each year and trades at a price of $30 per share. Ford's debt trades with a yield to maturity of 8.0%. What is Ford's weighted average cost of capital if its tax rate is 30%? A) 9.95%B) 9.48%C) 10.43%D) 11.38%.

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  1. 22 April, 06:21
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    Option (B) is correct.

    Explanation:

    cost of equity, Re = Risk free rate + equity rate * market risk premium

    Re = 0.03 + (1.7 * 0.8)

    = 0.166R

    cost of preferred stock, pfd = Dividend : stock price

    Rpfd = 4 : 30

    = 0.1333

    D% = 13 billion : 21 billion

    = 0.619

    E% = 6 billion : 21 billion

    = 0.286

    P% = 2 billion : 21 billion

    = 0.095

    Rd = debt capital comes from yield to maturity of 8% (YTM is an estimate of debt capital)

    Tc = 30%

    Rwacc = (w / preferred stock)

    = Re * E% + Rpfd * P% + Rd (1-Tc) D%

    Rwacc = (0.166) (0.286) + (0.1333) (0.095) + (0.08) (1 - (0.3)) (0.619)

    = 0.094803 ie 9.48%

    Therefore, Ford's weighted average cost of capital if its tax rate is 30% is 9.48%.
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