Question
You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under
You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the probability distribution shown to the right. Complete parts (a) through (c) below.
Returns
Probability
Economic Condition
Stock X
Stock Y
0.1
Recession
110
200
0.2
Slow growth
20
50
0.4
Moderate growth
100
130
0.3
Fast growth
170
210
You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1,000 investment in each stock under four different economic conditions has the probability distribution shown to the right. Complete parts (a) through (c) below. |
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A.Compute the expected return for stock X and for stock Y.
The expected return for stock X is ___________
(Type an integer or a decimal. Do not round.)
The expected return for stock Y is ___________
(Type an integer or a decimal. Do not round.)
B.Compute the standard deviation for stock X and for stock Y.
The standard deviation for stock X is ____________
(Round to two decimal places as needed.)
The standard deviation for stock Y is ____________
(Round to two decimal places as needed.)
C.Would you invest in stock X or stock Y? Explain.
Choose the correct answer below.
a.Since the expected values are approximately the same, either stock can be invested in. However, stock
X has a larger standard deviation, which results in a higher risk. Due to the higher risk of stock X, stock Y should be invested in.
b.Based on the expected value, stock X should be chosen. However, stock X has a larger standard deviation, resulting in a higher risk, which should be taken into consideration.
c.Since the expected values are approximately the same, either stock can be invested in. However, stock
Y has a larger standard deviation, which results in a higher risk. Due to the higher risk of stock
Y, stock X should be invested in
d.Based on the expected value, stock Y should be chosen. However, stock Y has a larger standard deviation, resulting in a higher risk, which should be taken into consideration.
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