Integrative—Expected return, standard deviation, and coefficient of variation An asset is currently being considered by Perth Industries. The probability distribution of expected returns for this asset is shown in the following table,
1 0.05 35.00%
2 0.25 20.00%
3 0.55 5.00%
4 0.05 0.00%
5 0.10 -5.00%
a. Calculate the expected value of return, for the asset.
b. Calculate the standard deviation,for the asset's returns.
c. Calculate the coefficient of variation, CV,for the asset's returns.
rate possible .. let me know if you need any clarification..
i | ii | iii=i*ii | iv=i*(ii-9%)^2 | |||
SL # | Probability | ii | Expected return | Variance | ||
1 | 0.05 | 35.00% | 1.75% | 0.34% | ||
2 | 0.25 | 20.00% | 5.00% | 0.30% | ||
3 | 0.55 | 5.00% | 2.75% | 0.09% | ||
4 | 0.05 | 0.00% | 0.00% | 0.04% | ||
5 | 0.1 | -5.00% | -0.50% | 0.20% | ||
9.00% | 0.97% | |||||
Variance = | 0.97% | |||||
SD =square root of variance = | 9.82% | |||||
Therefore answer as below- | ||||||
ans a) | Expected return = | 9.00% | ||||
ans b) | SD= | 9.82% | ||||
ans c) | CV= SD/Mean | 1.09 | ||||
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