Solution:
1)
We see that the asset has a mean return of 11.7% and standard deviation of 19.5%.
The range of returns you would expect to see 68% of the time is the mean plus or minus 1 standard deviation, or:
R + 1 σ = 11.7% ± 1 (19.5%) = - 7.80% to 31.20%
Expected range of returns | -7.80% ± 1% | % | to | 31.20 ± 1% | % |
2)
The range of returns you would expect to see 95% of the time is the mean plus or minus 2 standard deviation, or:
R + 2 σ = 11.7% ± 2 (19.5%) = -27.30% to 50.70%
Expected range of returns | -27.30% ± 1% | % | to | 50.70 ± 1% | % |
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