Question
Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets: a. What are her expected returns and the
Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets:
a. What are her expected returns and the risk from her investment in the three assets? How do they compare with investing in asset M alone?Hint: Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O
b.Could Sally reduce her total risk even more by using assets M and N only, assets M and O only, or assets N and O only? Use a 50/50 split between the asset pairs, and find the standard deviation of each asset pair.
States | Probability | Asset M Return | Asset N Return | Asset O Return |
Boom | 28% | 13% | 22% | 5% |
Normal | 52% | 11% | 15% | 11% |
Recession | 20% | 5% | 2% | 13% |
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