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Titan Mining Corporation has 8.3 million shares of common stock outstanding, 270

ID: 2760856 • Letter: T

Question

Titan Mining Corporation has 8.3 million shares of common stock outstanding, 270,000 shares of 5 percent preferred stock outstanding, and 145,000 7.1 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $31 per share and has a beta of 1.15, the preferred stock currently sells for $81 per share, and the bonds have 15 years to maturity and sell for 112 percent of par. The market risk premium is 7.1 percent, T-bills are yielding 4 percent, and the company’s tax rate is 30 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 8.3 million shares of common stock outstanding, 270,000 shares of 5 percent preferred stock outstanding, and 145,000 7.1 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $31 per share and has a beta of 1.15, the preferred stock currently sells for $81 per share, and the bonds have 15 years to maturity and sell for 112 percent of par. The market risk premium is 7.1 percent, T-bills are yielding 4 percent, and the company’s tax rate is 30 percent.

Explanation / Answer

Answer:(a) MArket value:

Debt=145000*$1000*112%=162400000

Preferred stock=270000 shares*$81=21870,000

Equity=8300000*$31=257300000

Answer:(b)

Ke=Rf+B*Market risk premium

=4%+1.15*7.1

=12.165%

Kp=5%

Kd=

1120=35.5*PVIFA(r%,30)+$1000*PVIF(r%,30)

r=5.87 %(annually)

Kd after tax=5.87%(1-0.30)=4.109%

Capital structure Market value Market weights Debts 162400000 0.367778608 Preferred stock 21870000 0.049527821 Equity 257300000 0.582693571 Total 441570000
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