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1. Tesla and General Motors are big names in the automotive industry. The following data are for the actual returns on shares of Tesla and
1. Tesla and General Motors are big names in the automotive industry. The following data are for the actual returns on shares of Tesla and that of General Motors: Year 1 2 3 Tesla (%) 15 25 12 General Motors (%) 18 22 20 Required: a. Calculate the expected return, standard deviation and coefficient of variation for each share over the three year period. (2.5+2.5+2) b. An investor is considering investing in both shares in the following proportion: investment in Tesla is double of that of investment in General Motors. i) Calculate the expected return of this portfolio investment (GT). (3) ii) Calculate the standard deviation of this portfolio investment (GT). (3) ii) Calculate the coefficient of variation of this portfolio investment (GT). (2) iv) Interpret the coefficient of variation of the portfolio to help make sound decision. (2) 2. Arabica Inc. has a tax rate of 40%. The following information is given: Debt: Arabica can raise debt by selling $1,000-par-value, 8% coupon interest rate, 5-year bonds with annual compounding. Since the market interest is higher than the coupon rate, the bond is sold at a discount of $15. There is an associated flotation cost of 4% of par value. Preferred stock: The security has a par value of $100 per share, the annual dividend rate is 8% of the par value, and the flotation cost is expected to be $3 per share. The preferred stock is expected to sell for $106 before cost considerations. Common stock: Common stock is $20 per share currently. The cash dividend is expected to be $1.5 per share next year. The firm's dividends have grown at an annual rate of 3%, till infinity. The flotation costs are expected to be approximately $1 per share. The market value of the long-term debt is $1,825,500, preferred stock is $2,425,000 and common stock equity valued to $1,595,000. Required: a. Calculate the after-tax cost of debt. (3) b. Calculate the cost of preferred stock. (2) c. Calculate the cost of new common stock. (2) d. Calculate the firm's weighted average cost of capital using retained earnings. (1.5) e. Calculate the firm's weighted average cost of capital using new common stock. (1.5)
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