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FM – L2 – Q27a – Portfolio Theory and CAPM

Calculate the average rate of return for two stocks over five years.

Apex Enterprises has a mixture of investment portfolios, Stock A and Stock B. The historical performance return on the stocks are as follows:

Year Stock A Return Stock B Return
20X5 -10% -3%
20X6 18% 21%
20X7 39% 44%
20X8 14% 4%
20X9 33% 28%

Required:
(a) Calculate the average rate of return for each stock during the period of 20X5 to 20X9.

(b) Calculate the average return on the portfolio during the period if Apex Enterprises held 50% each of Stock A and Stock B.

(c) Calculate the return of the portfolio using standard deviation approach.

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FM – L2 – Q25 – Portfolio theory and the capital asset pricing model (CAPM)

Calculate expected return and risk for two projects and advise on investment choice based on risk-return tradeoff.

Regal Enterprises Ltd. has a mixture of investment portfolios, Project 3 and Project 4. The historical performance return on the projects are as follows:

Return Probability
Project 3 6.0 0.6
1.0 0.4
Project 4 8.0 0.5
-1.0 0.5

Required:
(a) Calculate the expected return and standard deviation for Project 3 and Project 4. (6 marks)
(b) The divisional manager will invest in projects that are more risky if they offer a higher return. Advise which project the manager will invest in, considering the expected returns of Project 1 (3.6) and Project 2 (3.95).

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