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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

Finance Dec 08, 2020

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. The balance sheet and some other information are provided below.

Assets

Current assets$38,000,000Net plant, property, and equipment$101,000,000Total assets$139,000,000

Liabilities and Equity

Accounts payable$10,000,000Accruals$9,000,000Current liabilities$19,000,000Long-term debt (40,000 bonds, $1,000 par value)$40,000,000Total liabilities$59,000,000Common stock (10,000,000 shares)$30,000,000Retained earnings$50,000,000Total shareholders' equity$80,000,000Total liabilities and shareholders' equity$139,000,000

The stock is currently selling for $17.75 per share, and its noncallable $3,319.97 par value, 20-year, 1.70% bonds with semiannual payments are selling for $881.00. The beta is 1.29, 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%.

What is the best estimate of the after-tax cost of debt?

Expert Solution

We can calculate the pretax cost of debt by using the following formula in excel:-

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

Here,

Rate = Pretax cost of debt (semiannual)

Nper = 20*2 = 40 periods (semiannual)

Pmt = Coupon payment = $3,319.97*1.70%/2 = $28.22

PV = $881

FV = $3,319.97

Substituting the values in formula:

= rate(40,28.22,-881,3319.97)

= 5.32%

Pretax cost of debt = Rate * 2

= 5.32% * 2

= 10.64%

 

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

= 10.64% * (1 - 40%)

= 6.39%

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