Question

Information on Gerken Power Co., is shown below. Assume the company’s tax rate is 38 percent.

Debt:		8,800 8.1 percent coupon bonds outstanding, $1,000 par value, 22 years to maturity, selling for 103.5 percent of par; the bonds make semiannual payments.
Common stock:		213,000 shares outstanding, selling for $83.30 per share; beta is 1.18.
Preferred stock:		12,300 shares of 5.9 percent preferred stock outstanding, currently selling for $97.70 per share.
Market:		7.15 percent market risk premium and 4.95 percent risk-free rate.

Required:
Calculate the company's WACC. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

MV of equity=Price of equity*number of shares outstanding

MV of equity=83.3*213000

=17742900

MV of Bond=Par value*bonds outstanding*%age of par

MV of Bond=1000*8800*1.035

=9108000

MV of Preferred equity=Price*number of shares outstanding

MV of Preferred equity=97.7*12300

=1201710

MV of firm = MV of Equity + MV of Bond+ MV of Preferred equity

=17742900+9108000+1201710

=28052610

Cost of equity

As per CAPM

Cost of equity = risk-free rate + beta * (Market risk premium)

Cost of equity% = 4.95 + 1.18 * (7.15)

Cost of equity% = 13.39

Cost of debt

K = Nx2

Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2

k=1

K =22x2

1035 =∑ [(8.1*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^22x2

k=1

YTM = 7.7656442479

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

After tax cost of debt = 7.7656442479*(1-0.38)

= 4.814699433698

cost of preferred equity

cost of preferred equity = Preferred dividend/price*100

cost of preferred equity = 5.9/97.7*100

=6.04

Weight of equity = MV of Equity/MV of firm

Weight of equity = 17742900/28052610

W(E)=0.6325

Weight of debt = MV of Bond/MV of firm

Weight of debt = 9108000/28052610

W(D)=0.3247

Weight of preferred equity = MV of preferred equity/MV of firm

Weight of preferred equity = 1201710/28052610

W(PE)=0.0428

WACC=after tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)

WACC=4.81*0.3247+13.39*0.6325+6.04*0.0428

WACC% = 10.29