You are given the following information concerning Parrothead Enterprises:
Debt: 9,300 6.5% coupon bonds outstanding, with 22 years to maturity and a quoted price of 104.75. These bonds have a par value of $1,000 and pay interest semi-annually.
Common stock: 240,000 shares of common stock selling for $64.80 per share. The stock has a beta of .93 and will pay a dividend of $3.00 next year. The dividend is expected to grow by 5.3 percent per year indefinitely.
Preferred stock: 8,300 shares of 4.65 percent preferred stock selling at $94.30 per share.
Market: 11.7% expected return, a risk-free rate of 3.75%, and a 23% tax rate.
Calculate the company's WACC.

WACC (Weighted Average Cost of Capital is determined by multiplying capital source cost of both equity and debt by their relevant weight and then summing the results to identify the value using the formulae given below:

WACC = (E/V x Re) + [D/V x Rd x (1 - Tc)]

where:

E = Market Value of the firm's equity

D = Market Value of the firm's debt

V = E + D

Re = Cost of Equity

Rd = Cost of Debt

Tc = Tax Rate

In the given question, we will first determine the cost of equity. As shown below:

Cost of Equity = Average of CAPM and Dividend Capitalisation Model

CAPM = Risk free rate of return + Beta x (market rate of return - risk free rate of return)

CAPM = 3.75 + 0.93 x (11.7 - 3.75)

CAPM = 11.14%

Dividend Capitalisation Model = Expected dividend net year / Current Price + Growth Rate

Dividend Capitalisation Model = 3 / 64.8 * 100 + 5.3

Dividend Capitalisation Model = 9.93%

Cost of Equity = 9.93 + 11.14 = 10.54%

Next is the cost of debt which would be calculated using YTM (Yield to maturity)

where:

Par Value = 1047.5

Face Value = 1000

Coupon rate = 6.5

Years to maturity = 22 years

Coupon Payment Frequency is semi annually.

The Cost of debt = 6.1%

After Tax it would be 4.7% [6.1% * (1 - 23%)]

Next, we will determine the rate of preferred stock before calculating the WACC.

Rate of preferred stock = Annual dividend / Current Price * 100

Rate of preferred stock = 4.65 / 94.3 * 100

Rate of preferred stock = 4.93%

Finally, we will calculate the Market Value (MV) of equity, debt and preferred stock. As shown below:

MV Equity = 240,000 x 64.8 = 15,552,000

MV Debt = 1047.5 x 9300 = 9,741,750

MV preferred stock = 8,300 x 94.3 = 782,690

Total = 26,076,440

WACC = (15,552,000 / 26,076,440 * 10.54%) + (9,741,750 / 26,076,440 * 4.7%) + (782,690 / 26,076,440 * 4.93%)

WACC = 6.28% + 1.76% + 0.15%

WACC = 8.19%