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Question 3 1 8 Marks Stock X has a 1 0 % expected return, a beta coefficient of 0 . 9 , and a 3

Question 318 Marks
Stock X has a 10% expected return, a beta coefficient of 0.9, and a 35% standard deviation of expected
returns. Stock Y has a 12.5% expected return, a beta coefficient of 1.2, and a 25% standard deviation.
The risk-free rate is 6%, and the market risk premium is 5%.
Required:
3.1. Calculate each stocks coefficient of variation. (2)
3.2. Which stock is riskier for a diversified investor? (3)
3.3. Calculate each stocks required rate of return. (2)
3.4. On the basis of the two stocks expected and required returns, which stock would be more
attractive to a diversified investor? (4)
3.5. Calculate the required return of a portfolio with R7,500 invested in Stock X and R2,500 invested
in Stock Y.(4)
3.6. If the market risk premium increased to 6%, which of the two stocks would have the larger
increase in its required return? (3)
Question 415 Marks
Apilado Appliance Corporation is considering a merger with the Vaccaro Vacuum Company. Vaccaro is
a publicly traded company, and its current beta is 1.30. Vaccaro has been barely profitable, so it has
paid an average of only 20% in taxes during the last several years. In addition, it uses little debt, having
a debt ratio of just 25%.
If the acquisition were made, Apilado would operate Vaccaro as a separate, wholly owned subsidiary.
Apilado would pay taxes on a consolidated basis, and the tax rate would therefore increase to 35%.
Apilado also would increase the debt capitalization in the Vaccaro subsidiary to 40% of assets, which
would increase its beta to 1.47. Apilados acquisition department estimates that Vaccaro, if acquired,
would produce the following cash flows to Apilados shareholders (in millions of rands):
Year Cash Flows
1 R1.30
2 R1.50
3 R1.75
4 R2.00
5 and beyond Constant growth at 6%
These cash flows include all acquisition effects. Apilados cost of equity is 14%, its beta is 1.0, and its
cost of debt is 10%. The risk-free rate is 8%.
Required:
4.1. What discount rate should be used to discount the estimated cash flows? (Hint: Use Apilados rs
to determine the market risk premium.)(5)
MBA5903
MAY/JUNE 2022 SPECIAL EXAMINATION
6
4.2. What is the rand value of Vaccaro to Apilado? (4)
4.3. Vaccaro has 1.2 million common shares outstanding. What is the maximum price per share that
Apilado should offer for Vaccaro? If the tender offer is accepted at this price, what will happen to
Apilados stock price? (6)
Question 56 Marks
012345
Stream A R0 R100 R400 R400 R400 R300
Stream B R0 R300 R400 R400 R400 R100
Required:
5.1. Find the present values of the following cash flow streams at an 12% discount rate. (4)
5.2. What are the PVs of the streams at a 0% discount rate? (2)
Question 613 Marks
Consider a project that requires an initial outlay of R35000 and results in a single cash inflow of R56
367.50 after five years.
Required:
6.1. If the cost of capital is 8%, what are the project's NPV and PI? Is the project acceptable under
each of these techniques? (5)
6.2. What is the project's NPV and PI if the cost of capital is 12%? Is the project acceptable under
that condition? (5)
6.3. What is the project's payback period? Does payback make much sense for this project? Why?
(3)
Question 718 Marks
The Wall Company has 142500 ordinary shares outstanding that are currently selling at R28.63. It has
4530 bonds outstanding that will not mature for 20 years. They were issued at a par value of R1000
paying a coupon rate of 6%. Comparable bonds now yield 9%. Walls R100 par value preferred stock
was issued at 8% and is now yielding 11%; 7,500 shares are outstanding.
Required:
Develop Walls market value based capital structure.

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