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It can be deduced that the expected rates of return of stocks A and B are 13.2% and 7.7% respectively.
E(RA) = 0.1 (10%) + 0.2 (13%) + 0.2 (12%) + 0.3 (14%) + 0.2 (15%)= 13.2%
E(RB) = 0.1 (8%) + 0.2 (7%) + 0.2 (6%) + 0.3 (9%) + 0.2 (8%)= 7.7%
Therefore, the expected rates of return of stocks A and B are 13.2% and 7.7% respectively.
The standard deviation will be calculated thus:
Var(RA) = [0.1 (10%-13.2%)² + 0.2 (13%-13.2%)² + 0.2 (12%-13.2%)² + 0.3 (14%-13.2%)² + 0.2 (15%-13.2%)2 ] 1/2
= 1.5%
Var(RB) = [0.1 (8%-7.7%)² + 0.2 (7%-7.7%)² + 0.2 (6%-7.7%)² + 0.3(9%-7.7%)² + 0.2 (8%-7.7%)² ] 1/2
= 1.1%
Therefore, the standard deviation of stocks A and B are 1.5% and 1.1% respectively.
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