In: Finance
Common Stock A |
Common Stock B |
||
Probability |
Return |
Probability |
Return |
.20 |
12% |
.10 |
4% |
.50 |
18% |
.30 |
6% |
.30 |
27% |
.40 |
10% |
.20 |
15% |
Answer | ||||||||||
Stock A | Stock B | |||||||||
A | B | C=A*B | D=C-Average | (D)^2 | A | B | C=A*B | D=C-Average | (D)^2 | |
Prob | Return | X =Prob * Return | X-Mean(Ave) | Whole square of X-Mean | Prob | Return | X =Prob * Return | X-Mean(Ave) | Whole square of X-Mean | |
0.2 | 12% | 0.024 | -0.041 | 0.001681 | 0.1 | 4% | 0.004 | -0.019 | 0.000361 | |
0.5 | 18% | 0.09 | 0.025 | 0.000625 | 0.3 | 6% | 0.018 | -0.005 | 0.000025 | |
0.3 | 27% | 0.081 | 0.016 | 0.000256 | 0.4 | 10% | 0.04 | 0.017 | 0.000289 | |
0.2 | 15% | 0.03 | 0.007 | 0.000049 | ||||||
Total | 0.002562 | 0.000724 | ||||||||
Average of Stock A | 0.065 | Average of Stock A | 0.023 | |||||||
6.50% | 2.30% | |||||||||
0.001281 | ||||||||||
N= Number of probabilities | 3 | N= Number of probabilities | 4 | 0.000241333 | ||||||
N-1 | 2 | N-1 | 3 | |||||||
Where: | ||||||||||
SD= | Square Root of | sum( X-Mean)^2 | X = Return observed in one period | |||||||
n-1 | Mean = Average return of the stock | |||||||||
n = number of years | ||||||||||
SD (A)= | Square Root of | 0.002562 | SD (B)= | Square Root of | 0.000724 | |||||
2 | 3 | |||||||||
SD (A)= | Square Root of | 0.001281 | SD (B)= | Square Root of | 0.0002413 | |||||
SD (A)= | 0.0358 | 3.58% | SD (B)= | 0.0155349 | 1.58% | |||||
Analysis | ||||||||||
Stock A | Stock B | |||||||||
Mean( Average) | 6.50% | 2.30% | ||||||||
SD | 3.58% | 1.58% | ||||||||
Variation | 2.92% | 0.72% | ||||||||
The variation between Mean(Average) Vs SD of Stock B is less | ||||||||||
Hence investment in Stock B is Better |
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