What is the expected return, variance, and the standard deviation for the stock?
Prob |
Return of A |
21% |
6% |
28% |
-29% |
15% |
-15% |
5% |
12% |
31% |
11% |
5.5% 2.15%, and 15.2%
5.1% , 2.95%, and 15.40%
4.10% 3.95%, and 16.80%
D. -5.10%, 2.95%, and 17.19%
Expected return, variance and standard deviation = -5.10% , 2.95% , 17.19% respectively.
Option D is correct.
Expected Return :-
Probability | Return of A | Expected return |
21% | 6% | 1.2600% |
28% | -29% | -8.1200% |
15% | -15% | -2.2500% |
5% | 12% | 0.6000% |
31% | 11% | 3.4100% |
Expected Return | -5.1% |
Variance :-
Probability | Return of A | Deviation (Return- Expected return) | square of Deviation | Variance |
21% | 6% | 11.100% | 1.232% | 0.25874% |
28% | -29% | -23.900% | 5.712% | 1.59939% |
15% | -15% | -9.900% | 0.980% | 0.14702% |
5% | 12% | 17.100% | 2.924% | 0.14621% |
31% | 11% | 16.100% | 2.592% | 0.80355% |
Variance | 2.95% |
Standard deviation = square root ( variance) = (2.95%)1/2 = (0.0295)1/2 = 0.171898
Standard deviation =17.19%
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