QUESTION 5
Return | Probability |
-1.5% | 0.2 |
20.2% | 0.3 |
-6.3% | 0.3 |
12.3% | 0.2 |
first let us know the expected return
=> (-1.5%)*0.20 + (20.2%*0.30) + (-6.3%*0.30) + (12.3%*0.2)
=>-0.30+6.06-1.89+2.46
=>6.33%.
now,
calculation of standard deviation:
return | probability | (return - expected return)^2 | Probability*(return - expected return)^2 |
-1.5% | 0.20 | (-1.5-6.33)^2=>61.3089 | 0.20*61.3089=>12.26178 |
20.20% | 0.30 | (20.2-6.33)^2=>192.3769 | 0.30*192.3769=>57.71307 |
-6.3% | 0.30 | (-6.3-6.33)^2=>159.5169 | 0.30*159.5169=>47.85507 |
12.3% | 0.20 | (12.3-6.33)^2=>35.6409 | 0.20*35.6409=>7.12818 |
variance | 124.9581 |
standard deviation = 124.9581
=>11.178.
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