You are given the following information on Parrothead Enterprises:
Debt: 9,300 6.5 percent coupon bonds outstanding, with 22 years to maturity and a quoted price of 104.75. These bonds pay interest semiannually and have a par value of $1,000.
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. The par value is $100 per share.
Market: 11.7 percent expected return, risk-free rate of 3.75 percent, and a 23 percent tax rate.
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.) WACC %

Respuesta :

Answer:

8.19%

Explanation:

Calculation to determine the company's WACC

First step is to calculate the CAPM rate of equity

Using this formula

CAPM rate of equity = Risk free rate + market risk premium * beta

Let plug in the formula

CAPM rate of equity=3.75%+(11.7%-3.75%)*0.93

CAPM rate of equity=11.14%

Second step is to calculate the DDM rate of equity

Using this formula

DDM rate of equity= Expected dividend next year/Price today + Growth rate

Let plug in the formula

DDM rate of equity=3/64.8+5.3%

DDM rate of equity=9.93%

Third step is to calculate the Cost of equity using this formula

Cost of equity = Average of CAPM and DDM

Let plug in the formula

Cost of equity=(11.14%+9.93%)/2

Cost of equity= 10.54%

Fourth Step is to calculate the Cost of debt (after tax)

Cost of debt (after tax) using financial calculator to compute YTM

PV -1047.5

FV 1000

PMT 1000*6.5%/2 32.5

N 22*2 44

Compute I 3.05%

YTM =3.05%*2 6.10%

Tax rate = 23%

Hence,

Rate of debt (after tax) = 6.1%*(1-23%)

Rate of debt (after tax) = 4.70%

Fifth step is to calculate the Rate of preferred stock using this formula

Rate of preferred stock = Annual dividend/Current price

Let plug in the formula

Rate of preferred stock=4.65/94.3

Rate of preferred stock=4.93

Sixth step is to calculate the Weight

Market value

Source

equity 240000*64.8= 15552000

debt 1047.5*9300= 9741750

preferred stock 8300*94.3=782690

Total 26076440

equity 15552000/26076440= 59.64%

debt 9741750/26076440=37.36%

preferred stock 782690/ 26076440=3.00%

Now let calculate compute WACC

WACC= weight * cost

equity 59.64%*10.54%=6.28%

debt 37.36%* 4.70% =1.76%

preferred stock3.00%*4.93%=0.15%

WACC = 8.19%

(6.28%+1.76%+0.15%)

Therefore the company's WACC is 8.19%