You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will occur: Demand Probability Fund x Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 5P
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You plan to invest in either a mutual fund X or mutual fund Y. The following
information about the annual return (%) of each of these investments under different
demand levels is available, along with the probability that each of these states of
nature will OCcur:
Demand
Probability Fund X
Fund Y
High
0.4
30%
25%
Medium
0.4
22%
34%
low
0.2
17%
25%
a) Compute expected return, standard deviation for each investment and
covariance of the mutual fund X and mutual fund Y.
b) Would you invest in the mutual fund X or Y? Explain.
c) If you chose to invest in mutual fund X and the state of nature turns up to be
the low demand, what do you think about the possibility of the opportunity loss
of 8% in comparison to investing in mutual fund Y?
Transcribed Image Text:You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?
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