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Ink Inc. has target capital structure of 10% preferred stock, 50% common equity,

ID: 2760998 • Letter: I

Question

Ink Inc. has target capital structure of 10% preferred stock, 50%

common equity, and 40% debt. Ink has outstanding 20 year annual,

6% coupon bonds selling for $894. The par value of the bonds is

$1,000. Ink’s common stock sells for $50 per share and is expected

to grow at 8% and expected to pay a $2 dividend next year. If Ink

sells new common it must pay a $5 flotation fee. Ink’s preferred

stock currently sells for $95, and its annual dividend is $5 per

share. If Ink were to sell new preferred, it would pay $5 per

share as flotation cost. Ink’s tax rate is 40%.

What is Ink’s after-tax cost of debt capital?

What is Ink’s cost of preferred stock capital?

What is Ink’s cost of common stock?

What is the firm's WACC for the capital?

Explanation / Answer

Solution:

After tax cost of debt = Cost of Debt before tax x (1 – Tax Rate)

Cost of debt before tax = [Interest + (Redemption Value – Net Proceeds)/Life]/ (Redemption Value + Net Proceeds)/2 x 100

= [$60 + ($1,000 - $894)/20] / ($1,000 + $894)/2 x 100

= $65.30 / $947 x 100 = 6.90%

Cost of Debt after tax = 6.90% (1 – 0.40)= 4.14%

Cost of Preferred Stock = Preference Dividend / Net Proceeds x 100 = $5 / $90 x 100 = 5.55%

Net Proceeds = Issue Price – Floatation Cost = $95 - $5 = $90

Cost of Equity = Net Year expected dividend / Net Proceeds + growth rate

= $2 / $45 + 0.08 = 0.1244 or 12.44%

Net Proceeds = Issue Price – Floatation Cost = $50 - $5 = $45

WACC = Cost of Debt after tax x weight of debt + Cost of preferred stock x weight of preferred stock + cost of equity x weight of equity

WACC = (4.14% x 0.4) + (5.55% x 0.1) + (12.44% x 0.5) = 1.656% + 0.555% + 6.22% = 8.431%