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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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