Question

In: Finance

probability ABC Returns XYZ Returns 30% 15.00% 30.00% 35% -5.00% 30.00% 25% 30.00% 15.00% 10% 5.00%...

probability ABC Returns XYZ Returns
30% 15.00% 30.00%
35% -5.00% 30.00%
25% 30.00% 15.00%
10% 5.00% 10.00%
what is the standard deviation for stock abc and xyz
SD ABC SD XYZ

Select one:
a. .0062 .55
b. .018818 .00632
c. 15% 13.5%
d. 13.72% 7.95%

Solutions

Expert Solution

The correct answer is option d

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The expected returns on stock ABC is found as follows

Expected return = 0.30 0.15 + 0.35 -0.05 + 0.25 0.30 + 0.10 0.05 = 10.75%

Variance of stock ABC = 0.30 ( 0.15 - 0.1075)2 + 0.35 ( -0.05 - 0.1075 )2 + 0.25 ( 0.30 - 0.1075)2 + 0.10 ( 0.05 - 0.1075)2

Variance of stock ABC = 0.01881875

Standard deviation =

Standard deviation for stock ABC = 13.72%

Expected return of stock XYZ = 0.30 0.30 + 0.35 0.30  + 0.25 0.15 + 0.10 0.10 = 24.25%

Variance of stock XYZ = 0.30 ( 0.30 - 0.2425)2 + 0.35 ( 0.30 - 0.2425)2 + 0.25 ( 0.15 - 0.2425)2 + 0.10 ( 0.10 - 0.2425)2  

Variance of stock XYZ = 0.00631875

Standard deviation =

Standard deviation for stock XYZ = 7.95%


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