Question

Assume that you have been hired as a consultant by CGT, a major producer of chemicals and plastics, including plastic grocery bags, styrofoam cups, and fertilizers, to estimate the firm's weighted average cost of capital. CGT's balance sheet data are as follows.
The stock is currently selling for $15.25 per share, and its noncallable $1,000 par value, 20-year, 7.25% bonds with semiannual payments are selling for $875.00. The beta is 1.25, the yield on a 6- month Treasury bill is 3.50%, and the yield on a 20-year Treasury bond is 5.50%. The required return on the stock market is 11.50%, but the market has had an average annual return of 14.50% during the past 5 years. The firm's tax rate is 40%. Determine the best estimate of the after-tax cost of debt.
Assets 2018
Current assets $38,000,000
Net plant, property, and equipment $101,000,000
Total assets $139,000,000
Liabilities & Equity
Accounts payable $10,000,000
Accruals $9,000,000
Current liabilities $19,000,000
Long-term debt (40,000 bonds.
$1,000 par value) $40,000,000
Total liabilities $59,000,000
Common stock (10,000,000 shares) $30,000,000
Retained earnings $50,000,000
Total shareholders' equity $80,000,000
Total liabilities and shareholders' equity $139,000,000
a. 5.40%.
b. 5.67%.
c. 4.64%.
d. 5.14%.

Answer 1

Answer:

d. 5.14%.

Explanation:

Calculation to determine the best estimate of the after-tax cost of debt.

First step

Based on the information given we would make use of rate formula in excel.

=rate(nper,pmt,-pv,fv)

Where,

nper= coupon every six months for 20 years = 40 coupon payments

Pmt =$1000*7.25%*6/12=$36.25

Pv = $875

Fv =$1000

Let plug in the formula

=rate(40,36.25,-875,1000)=4.28% semiannually

=4.28% *2=8.56% annually

Now let calculate the after tax cost of debt using this formula

After tax cost of debt=8.56%*(1-t)

Where,

t represent tax rate of 40%

Let plug in the formula

After tax cost of debt=8.56%*(1-0.4)

After tax cost of debt=5.14%

Therefore the best estimate of the after-tax cost of debt is 5.14%