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14 Portfolio analysis You have been given the expected return data shown in the

ID: 2652244 • Letter: 1

Question

14 Portfolio analysis You have been given the expected return data shown in the first table on three assets F, G, and H-over the period 2016-2019. Expected return Asset H Asset G Asset F Year 14% 17% 16% 2016 16 2017 16 15 2018 2019 Using these assets, you have isolated the three investment alternatives shown in the following table. Investment Alternative 100% of asset F 50% of asset F and 50% of asset G 50% of asset F and 50% of asset H a. Calculate the expected return over the 4-year period for each of the three alternatives. b. Calculate the standard deviation of returns over the 4-year period for each of the three alternatives c. Use your findings in parts a and b to calculate the coefficient of variation for each of the three alternatives. d. On the basis of your findings, which of the three investment alternatives do you recommend? Why?

Explanation / Answer

Solution:

Expected Return of Asset (ERa) = r / n

r = 62

ERa (Asset F) = 70/4 = 17.50%

ERa (Asset G) = 62/4 = 15.50%

ERa (Asset H) = 62/4 = 15.50%

Expected Return of Portfolio (ERp) = [(ERa1) * (wa1)] + [(ERa2) * (wa2)]

where,

ERa = Expected Return of Asset,

wa = Weight of asset in the portfolio

Expected Return of Alternative 1 = (17.50%) * (100%) = 17.50%

Expected Return of Alternative 2 = [(17.50%) * (50%)] + [(15.50%) * (50%)] = 16.50%

Expected Return of Alternative 3 = [(17.50%) * (50%)] + [(15.50%) * (50%)] = 16.50%

Year Asset F Asset G Asset H 2016 16 17 14 2017 17 16 15 2018 18 15 16 2019 19 14 17 n = 4 r = 70 r = 62

r = 62

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