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Calculation of individual costs and WACC: Dillon Labs has asked its financial manager to measure the...

Calculation of individual costs and WACC: Dillon Labs has asked its financial manager to measure the cost of each specific type of capital as well as the weighted average cost of capital. The weighted average cost is to be measured by using the following​ weights:50​% long-term debt, 20% preferred​ stock, and 30% common stock equity​ (retained earnings, new common​ stock, or​ both). The​ firm's tax rate is 28​%.

Debt: The firm can sell for ​$1010 a 12​-year, ​$1000​-par-value bond paying annual interest at a 8.00​% coupon rate. A flotation cost of 2​% of the par value is required.

Preferred stock: 8.00% ​(annual dividend) preferred stock having a par value of $100 can be sold for $98. An additional fee of ​$2 per share must be paid to the underwriters.

Common stock: The​ firm's common stock is currently selling for ​$60 per share. The stock has paid a dividend that has gradually increased for many​ years, rising from $2.70 ten years ago to the $4.00 dividend​ payment, Upper D 0, that the company just recently made. If the company wants to issue new new common​ stock, it will sell them ​$3.50below the current market price to attract​ investors, and the company will pay ​$2.50 per share in flotation costs.  

a.  Calculate the​ after-tax cost of debt.

b.  Calculate the cost of preferred stock.

c.  Calculate the cost of common stock​ (both retained earnings and new common​ stock).

d.  Calculate the WACC for Dillon Labs.

Solutions

Expert Solution

Face Value 1000
(I) Year Coupon Coupon Rate 8%
FV*CR 1 80 Market Price 1010
FV*CR 2 80 Flotation Cost 2%
FV*CR 3 80 Adjusted Market Price 989.8    Market Price * ( 1 - Flotation Cost)
FV*CR 4 80 Tax Rate 28%
FV*CR 5 80 Let Rd be the cost of debt
FV*CR 6 80 So now discounting the Coupon payments with Rd should be equal to the Adjusted Market price
FV*CR 7 80 Using Financial Calculator Put the following Values and Calcluate Rd
FV*CR 8 80 N = 12
FV*CR 9 80 PMT = 80
FV*CR 10 80 PV= -989.8
FV*CR 11 80 FV=1000
FV*CR 12 80 I/Y = ? This will give you before Tax cost of debt
So I/Y = 8.13 % Before tax
Kd   = 5.86% After Tax Cost of debt   8.13 ( 1 - 28%)
(II) Annual Dividend 8% (Given)
Face value 100 (Given)
Market price 98 (Given)
Flotation cost 2 (Given)
Adjusted Market price 96 market Price - Floatation cost
Dividend 8 Face Value * Annual Dividend
Kps = Dividend /   Adjusted market price = 8 / 96 *100 = 8.33%
(III) Current market price 60 (Given)
Dividend (10 years ago) 2.7 (Given)
Dividend (Now) 4 (Given)
flotation Cost 2.5 (Given)
Discount of Market Price 3.5 (Given)
Adjusted Market price for Retained Earnings 57.5 Market Price - Flotation cost
Adjusted Market price for New Stock 54 Market Price - Discount on Market Price - Flotation cost
Growth   (Dividend CAGR for 10 years) [( End Value / Start value)^ 1/n] - 1
Growth   (Dividend CAGR for 10 years) 4.008 {[ ( 4/2.7) ^0.1 ] -1 } *100
D0 (current Dividend) 4 (Given)
D1 (next year) 4.16032 D0 * ( 1 + growth)
Ke        (formula) = (   D1 / Price )   + Growth
Ke     (Retained earnings)   = 0.11243 or 11.243% (   D1 / Adjud. Market Price for Ret. Earning )   + Growth
Ke     (New Stock)   = 0.11712 or 11.712% (   D1 / Adjud. Market Price for New Stock )   + Growth
(IV) Weight Debt 50% After Tax Cost of Debt 5.86%
Weight Preferred Stock 20% Cost of Preferred Stock 8.33%
Weight Common Stock 30% Cost of Common Stock Retained growth 11.24%
WACC = Weight Of debt * After tax cost Of debt + Weight of Preferred Stock * Cost of Preferred Stock + Weight Of Equity * cost of Equity
WACC = 0.5 * 5.86% +   0.2 * 8.33% + 0.3 * 11.24%
WACC = 7.962 (Using Retained Earning Cost of Equity

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