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A firm has determined its optimal capital structure which is composed of the following sources and target market value propor

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Answer #1

Answer a.

Cost of Common Stock = Expected Dividend / Current Price + Growth Rate
Cost of Common Stock = $1.50 / $30.00 + 0.08
Cost of Common Stock = 0.05 + 0.08
Cost of Common Stock = 0.13 or 13.00%

Answer b.

Cost of Preferred Stock = Annual Dividend / Current Price
Cost of Preferred Stock = $10.00 / $75.00
Cost of Preferred Stock = 0.1333 or 13.33%

Answer c.

Face Value = $1,000
Current Price = $880

Annual Coupon Rate = 7.00%
Annual Coupon = 7.00% * $1,000
Annual Coupon = $70

Time to Maturity = 12 years

Let Annual YTM be i%

$880 = $70 * PVIFA(i%, 12) + $1,000 * PVIF(i%, 12)

Using financial calculator:
N = 12
PV = -880
PMT = 70
FV = 1000

I = 8.65%

Annual YTM = 8.65%

Cost of Debt = 8.65%

Answer d.

WACC = Weight of Debt * Cost of Debt * (1 - Tax Rate) + Weight of Preferred Stock * Cost of Preferred Stock + Weight of Common Stock * Cost of Common Stock
WACC = 0.20 * 8.65% * (1 - 0.40) + 0.10 * 13.33% + 0.70 * 13.00%
WACC = 1.04% + 1.33% + 9.10%
WACC = 11.47%

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