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3. ABC, Inc. is looking at raising additional capital for a future project. The project is expected to provide a return on in
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a]

Value of common stock = shares outstanding * price per share = 4,000,000 * $45

Value of common stock = $180,000,000.

Value of preferred stock = $30,000,000.

Value of debt = $70,000,000.

Total value =  $180,000,000 + $30,000,000 + $70,000,000.

Total value =  $280,000,000.

Weight of common stock = Value of common stock / Total value =  $180,000,000 / $280,000,000 = 0.643.

Weight of preferred stock = Value of preferred stock / Total value =  $30,000,000 / $280,000,000 = 0.107.

Weight of debt = Value of debt / Total value =  $70,000,000 / $280,000,000 = 0.250.

b]

The bond will be sold at par. Hence, its yield equals its coupon rate.

Before-tax cost of debt (net of flotation cost) = yield / (1 - flotation cost)

Before-tax cost of debt (net of flotation cost) = 8% / (1 - 2%) = 8.16%.

After-tax cost of debt = Before-tax cost of debt * (1 - tax rate)

After-tax cost of debt = 8.16% * (1 - 40%) = 4.90%.

c]

cost of equity = (next year dividend / net proceeds per share) + growth rate.

next year dividend = last dividend * (1 + growth rate)

next year dividend = $4.22 * (1 + 4.5%) = $4.41

net proceeds per share = price of share - flotation cost

net proceeds per share = $45 - ($45 * 10%) = $40.50.

cost of equity = ($4.41 / $40.50) + 4.5%

cost of equity = 15.39%

d]

cost of preferred stock = (annual dividend / net proceeds per share)

annual dividend = face value * dividend rate = $100 * 12% = $12.

net proceeds per share = price of share - flotation cost

net proceeds per share = $112.55 - ($112.55 * 4%) = $108.05

cost of preferred stock = $12 / $108.05 = 11.11%

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