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Titan Mining Corporation has 8.2 million shares of common stock outstanding, 260

ID: 2718794 • Letter: T

Question

Titan Mining Corporation has 8.2 million shares of common stock outstanding, 260,000 shares of 4 percent preferred stock outstanding, and 140,000 7 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $30 per share and has a beta of 1.10, the preferred stock currently sells for $80 per share, and the bonds have 10 years to maturity and sell for 110 percent of par. The market risk premium is 7 percent, T-bills are yielding 3 percent, and the company’s tax rate is 38 percent.

What is the firm’s market value capital structure? (Do not round intermediate calculations. Round your answers to 4 decimal places, e.g., 32.1616.)

If the company is evaluating a new investment project that has the same risk as the firm’s typical project, what rate should the firm use to discount the project’s cash flows? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Titan Mining Corporation has 8.2 million shares of common stock outstanding, 260,000 shares of 4 percent preferred stock outstanding, and 140,000 7 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $30 per share and has a beta of 1.10, the preferred stock currently sells for $80 per share, and the bonds have 10 years to maturity and sell for 110 percent of par. The market risk premium is 7 percent, T-bills are yielding 3 percent, and the company’s tax rate is 38 percent.

Explanation / Answer

a)

Market Value of Common Stock = 8.2Milion * 30 = $ 246 Million

Market value of Preferred Stock = 0.26 Miillion * 80 = $ 20.80 Million

Market Value of Bond = 0.14 Million *1000*110% = $ 154 Million

Total Market Value = 246 + 20.80 + 154 = $ 420.80 Million

Weight of Common Stock = 246/420.80 = 0.5846

Weight of Preferred Stock =20.80/420.80 = 0.0494

Weight of Debt = 154/420.80 =0.3660

Answer

b)

1) Cost of Common Stock = Rf + (Rm-Rf)*Beta

Cost of Common Stock = 3 + 7*1.1

Cost of Common Stock = 10.70%

2) Cost of Preferred Stock = 4/80

Cost of Preferred Stock = 5%

3)

Before Tax Cost of Debt = rate(nper,pmt,pv,fv)

Before Tax Cost of Debt = rate(20,35,-1100,1000)*2

Before Tax Cost of Debt = 5.68 %

After Tax Cost of Debt = 5.68*(1-38%)

After Tax Cost of Debt = 3.52%

WACC = Weight of Common Stock* Cost of Common Stock + Weight of Preferred Stock* Cost of Preferred Stock + Weight of Debt* After Tax cost of Debt

WACC = 0.5846*10.70 + 0.0494*5 + 0.3660 *3.52

WACC = 7.79%

Answer

Discount rate = 7.79%

Debt                0.3660 Preferred Stock                0.0494 Equity                0.5846
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