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Consider the following information for Evenflow Power Co., Debt: 5,000 6.5 percent coupon bonds outstanding, $1,000 par value, 17 years to maturity, selling for 102 percent of par; the bonds make semiannual payments. Common stock: 105,000 shares outstanding, selling for $59 per share; the beta is 1.17. Preferred stock: 18,000 shares of 6 percent preferred stock outstanding, currently selling for $105 per share. Market: 8.5 percent market risk premium and 5 percent risk-free rate. Assume the company's tax rate is 34 percent. What is the company's WACC?

User Tony Borf
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2 Answers

3 votes

Final answer:

The company's Weighted Average Cost of Capital (WACC) is 10.44%. To calculate WACC, we need to determine the cost of each type of capital and the proportion of each source in the company's capital structure.

Step-by-step explanation:

The company's Weighted Average Cost of Capital (WACC) is the average rate of return required by the company's investors. To calculate WACC, we need to determine the cost of each type of capital and the proportion of each source in the company's capital structure.

Debt: 5,000 6.5 percent coupon bonds outstanding, $1,000 par value, 17 years to maturity, selling for 102 percent of par; the bonds make semiannual payments.

The cost of debt can be calculated using the formula:

Cost of debt = (Coupon rate x Par value) / Bond price

So, for EvenFlow Power Co:

Cost of debt = (6.5% x $1,000) / $1,020 = 6.37%

Common stock: 105,000 shares outstanding, selling for $59 per share; the beta is 1.17.

To calculate the cost of equity, we can use the Capital Asset Pricing Model (CAPM) which is:

Cost of equity = Risk-free rate + Beta x Market risk premium

Using the given information:

Cost of equity = 5% + 1.17 x 8.5% = 14.995%

Preferred stock: 18,000 shares of 6 percent preferred stock outstanding, currently selling for $105 per share.

The cost of preferred stock can be calculated using the formula:

Cost of preferred stock = Preferred stock dividend / Preferred stock price

So, for EvenFlow Power Co:

Cost of preferred stock = (6% x $105) / $105 = 6%

We have the following information:

Total debt = $5,000 x $1,000 = $5,000,000

Total equity = 105,000 x $59 = $6,195,000

Total preferred stock = 18,000 x $105 = $1,890,000

Total capital = Total debt + Total equity + Total preferred stock = $5,000,000 + $6,195,000 + $1,890,000 = $13,085,000

The weight of each source can be calculated as:

Weight of debt = Total debt / Total capital = $5,000,000 / $13,085,000

Weight of equity = Total equity / Total capital = $6,195,000 / $13,085,000

Weight of preferred stock = Total preferred stock / Total capital = $1,890,000 / $13,085,000

WACC = Cost of debt x Weight of debt + Cost of equity x Weight of equity + Cost of preferred stock x Weight of preferred stock

Substituting the values:

WACC = 6.37% x ($5,000,000 / $13,085,000) + 14.995% x ($6,195,000 / $13,085,000) + 6% x ($1,890,000 / $13,085,000)

WACC = 2.44% + 7.14% + 0.86% = 10.44%

User Wesley Chang
by
5.1k points
6 votes

Answer:

WACC 10.07765%

Step-by-step explanation:

We solve for the cost of debt by solving for the discount rate which makes the future coupon payment and maturity of the bond equal to 1,020

This is solved using excel or a financial calculator


C * (1-(1+r)^(-time) )/(rate) = PV\\

C 32.50

time 34

rate 0.03153274


32.5 * (1-(1+0.03153274)^(-34) )/(0.0315327401919093) = PV\\

PV $672.0015


(Maturity)/((1 + rate)^(time) ) = PV

Maturity 1,000.00

time 34.00

rate 0.03153274


(1000)/((1 + 0.03153274)^(34) ) = PV

PV 348.00

PV c $672.0015

PV m $347.9985

Total $1,020.0000

annual cost of debt:

0.031532 x 2 = 0.063064 = 6.31%

debt outstanding:

5,000 bonds x $ 1,000 x 102/100 = 5,100,000

equity:

105,000 shares x $59 each = 6,195,000

For the equity we solve using CAMP


Ke= r_f + \beta (r_m-r_f)

risk free = 0.05

market rate = 0.09

premium market = (market rate - risk free) 0.085

beta(non diversifiable risk) = 1.17


Ke= 0.05 + 1.17 (0.085)

Ke 0.14945

Now we solve for the WACC


WACC = K_e((E)/(E+D)) + K_d(1-t)((D)/(E+D))

D 5,100,000

E 6,195,000

V 11,295,000

Equity weight 0.5485

Debt Weight 0.4515

Ke 0.14945

Kd 0.0631

t 0.34


WACC = 0.14945(0.5485) + 0.0631(1-0.34)(0.4515)

WACC 10.07765%

User Raja Chakraborty
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5.1k points