Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Assume that you have been hired as a consultant by CGT, a major producer of chem

ID: 2756934 • Letter: A

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

$38,000,000

$101,000,000

$139,000,000

Liabilities and Equity

$10,000,000

$9,000,000

$19,000,000

$40,000,000

$59,000,000

$30,000,000

$50,000,000

$80,000,000

$139,000,000


The stock is currently selling for $11.75 per share, and its noncallable $1,000 par value, 20-year, 7.25% bonds with semiannual payments are selling for $1,000.00. The beta is 0.85, 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?

4.26%

4.44%

4.09%

3.35%

4.35%

Current assets

$38,000,000

Net plant, property, and equipment

$101,000,000

Total assets

$139,000,000

Explanation / Answer

Best Estimate of After tax cost of debt = 7.25%(1-0.4)

   = 7.25%*0.6

= 4.35%

Calculation of Weighted Average Cost of Capital

Bonds with semiannual payments @4.35% = $400000000

Market value of equity = $117500000

Required rate of return on equity   E(R) = RFR + stock (Rmarket – RFR)

= 5.50% + 0.85(14.50%-5.50%)

= 13.15%

Weighted Average Cost of capital ={[Equity/(Equity+debt)]*13.15%} + {[Debt/(Equity+debt)]*4.35%}

= {[117500000/(117500000+400000000)]*13.15%} + {[400000000/(117500000+400000000)]*4.35%}

= (0.227*13.15%) + (0.773*4.35%)

= 2.985% + 3.36%

= 6.35%

Weighted Average Cost of Capital = 6.35%