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Titan Mining Corporation, Inc. is capitalized with 10,000,000 shares of common stock, 1,000,000 shares of preferred...

Titan Mining Corporation, Inc. is capitalized with 10,000,000 shares of common stock, 1,000,000 shares of preferred stock, and 800,000 5.50% ($1,000 par) coupon bonds, paid semiannually. The bonds have 8 years left until maturity and are trading for 93% of par. The common stock currently sells for $40.72 per share and has a beta of 1.25. The company recently paid a common stock dividend of $4.35 per share, and such dividend is expected to grow at a rate of 4%, forever. The preferred stock, which has a 7.5% dividend, currently sells for $110.75 per share. The market return is 9.5%, T-Bills have a yield to maturity of 2.5%, and the company’s marginal tax rate is 30%. Please compute the following, and show all of your work:

-The firm’s component cost of Common Stock,

-The firm’s before-tax component cost of Debt,

-The firm’s component cost of Preferred Stock,

-The firm’s After-Tax Weighted Average Cost of Capital.

Solutions

Expert Solution

a. Cost of Common Stock:

Equity value $407,200,000 Given in question (10,000,000 shares* $40.72 market value)
Beta 1.25 Given in question
Market Return 9.5% Given in question
Risk free rate 2.50% Given in question
Cost of Equity (using CAPM) 11.25% Risk free rate + (beta * (market return-Risk Free rate))

Cost of Common Stock = 11.25%

b. Cost of Debt (before tax)

Debt value $744,000,000 Given in question (800000* 1000*93% )
Coupon 5.5% Given in question
Payments semi-annual Given in question
Maturity (years) 8 Given in question
Number of coupon payments 16 (8 years * 2(semi-annual))
Par value of bonds $1,000 Given in question
Current Value $930 (1000*93%)
Coupon payment every semi-annual $27.50 (1000*5.5%/2)
Semi annual YTM 3.32% =rate(16,$27.50,-$930,$1,000)
Annual YTM 6.64% Semi annual YTM * 2
After tax Annual YTM 4.65% 6.97%*(100%-30%)

Before tax cost of debt = 6.64%

c. Cost of Preferred Stock:

Preferred stock value $110,750,000 Given in question (1,000,000shares* $110.75 market value)
Rate 7.5% Given in question
Par value $100 Given in question
Current Value $111 Given in question
Dividend per year $7.5 (100*7.5%)
Cost of Preferred stock 6.77% $7.5/$111

Cost of Preferred Stock = 6.77%

d. After tax weighted average cost of capital:

Calculation of weightage:

Source of funds Value Weightage Working
Debt $744,000,000 58.96% ($744,000,000/$1,261,950,000)
Preference Stock $110,750,000 8.78% (110,750,000/$1,261,950,000)
Ordinary Stock $407,200,000 32.27% ($407,200,000/$1,261,950,000)
Total $1,261,950,000

Weighted cost of capital:

Source of funds Weightage Cost Cost of Capital (Weightage * Cost)
Debt 58.96% 4.65% 2.74%
Preference Stock 8.78% 6.77% 0.59%
Ordinary Stock 32.27% 11.25% 3.63%
Total 100.00% 6.97%

Weighted Cost of Capital = 6.97%


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