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You are given the following information concerning Parrothead Enterprises: 10,00

ID: 2711289 • Letter: Y

Question

You are given the following information concerning Parrothead Enterprises:

10,000 7 percent coupon bonds outstanding, with 25 years to maturity and a quoted price of 106.5. These bonds pay interest semiannually.

275,000 shares of common stock selling for $65.50 per share. The stock has a beta of .95 and will pay a dividend of $3.70 next year. The dividend is expected to grow by 5 percent per year indefinitely.

Market:

A 11 percent expected return, a risk-free rate of 5 percent, and a 35 percent tax rate.

Required:

Calculate the WACC for Parrothead Enterprises.

Debt:

10,000 7 percent coupon bonds outstanding, with 25 years to maturity and a quoted price of 106.5. These bonds pay interest semiannually.

Common stock:

275,000 shares of common stock selling for $65.50 per share. The stock has a beta of .95 and will pay a dividend of $3.70 next year. The dividend is expected to grow by 5 percent per year indefinitely.

Preferred stock: 9,000 shares of 4.5 percent preferred stock selling at $95.00 per share.

Market:

A 11 percent expected return, a risk-free rate of 5 percent, and a 35 percent tax rate.

Explanation / Answer

WACC = Ke x We + Kd × (1 – t) × Wd + Kp x Wp

Bond Price = [Par Value × Coupon Rate × ((1 (1 + r)m×n )/1)] +[ Par Value/(1 + r)m×n]

                        

m = no. of coupons in a year

n = no. of years

$106.5 = [100 × 3.5% × ((1 (1 + r)2×25 )/1)] +[ 100/(1 + r)2*25]

R = 3.24%

YTM =          3.24*2

            =          6.47%

After tax cost of debt =          6.47(1-0.35)

                                    =          4.21%

2. Ke       =          D1/P +g

=          3.75/65.5 + 0.05

=          10.65%

Ke as per CAPM = Rf + (Rm – Rf)

                        = 0.05 + 0.95(0.11-0.05)

                        = 10.70%

           

3. Cost of Preferred stock (Kp) = 4.5/95

                                                                  = 4.74%

Type

No.

Par value

Amount (no. x par value)

Weight (%)

Cost (%)

WACC

Common Stock

275,000

10

2,750,000

59.14

10.70

6.33

Preferred Stock

9,000

100

900,000

19.35

4.74

0.92

Debt

10,000

100

1,000,000

21.51

4.21

0.91

Total

294,000

4,650,000

8.16

WACC = 8.16%

Type

No.

Par value

Amount (no. x par value)

Weight (%)

Cost (%)

WACC

Common Stock

275,000

10

2,750,000

59.14

10.70

6.33

Preferred Stock

9,000

100

900,000

19.35

4.74

0.92

Debt

10,000

100

1,000,000

21.51

4.21

0.91

Total

294,000

4,650,000

8.16