Question 1 Consider an investor's choice of a farm unit in the Corn Belt, one in the California Central Valley, or the one in the Great Plains region. An investor added these three assets in one portfolio. The portfolio composed of equal proportions of the three investments. Use the information in the table below to answer the questions that follows (show all your work for partial credits). Investment Alternatives Corn Belt (1) Central Valley (2) Great Plains (3) Exp. Return n-0.14 0.12 y-0.07 Std. Dev. G-0.08 o-0.05 oy-0.01 Weight in Portfolio w-1/3 wy-1/3 wy-1/3 Correlation Among Investment 1 and 2 (pa)-0.30 1 and 3 (pu) --0.40 2 and 3 (pa)--0.10 Portfolio Data for Financial Servicing Analysis Under Risk a. Calculate the expected returm of the portfolio. b. Calculate the variance and the standard deviation of the portfolio. c. Calculate the variance and standard deviation of the portfolio assuming that the correlation among the investments is all equal to 0. d. Calculate the variance and standard deviation of the portfolio assuming that the correlation among the investments is all equal to 1. e. Which scenario should the investor prefer (i.e., (b.), (c.), or (d.)]? Explain your answer.
Question 1 Consider an investor's choice of a farm unit in the Corn Belt, one in the California Central Valley, or the one in the Great Plains region. An investor added these three assets in one portfolio. The portfolio composed of equal proportions of the three investments. Use the information in the table below to answer the questions that follows (show all your work for partial credits). Investment Alternatives Corn Belt (1) Central Valley (2) Great Plains (3) Exp. Return n-0.14 0.12 y-0.07 Std. Dev. G-0.08 o-0.05 oy-0.01 Weight in Portfolio w-1/3 wy-1/3 wy-1/3 Correlation Among Investment 1 and 2 (pa)-0.30 1 and 3 (pu) --0.40 2 and 3 (pa)--0.10 Portfolio Data for Financial Servicing Analysis Under Risk a. Calculate the expected returm of the portfolio. b. Calculate the variance and the standard deviation of the portfolio. c. Calculate the variance and standard deviation of the portfolio assuming that the correlation among the investments is all equal to 0. d. Calculate the variance and standard deviation of the portfolio assuming that the correlation among the investments is all equal to 1. e. Which scenario should the investor prefer (i.e., (b.), (c.), or (d.)]? Explain your answer.
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...
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Question
![Question 1
Consider an investor's choice of a farm unit in the Corn Belt, one in the Califormia Central
Valley, or the one in the Great Plains region. An investor added these three assets in one
portfolio. The portfolio composed of equal proportions of the three investments. Use the
information in the table below to answer the questions that follows (show all your work for
partial credits).
Investment Alternatives
Corn Belt (1)
Central Valley (2)
Great Plains (3)
Exp. Return
n-0.14
0.12
n-0.07
Std. Dev.
O-0.08
o-0.05
oy-0.01
Weight in Portfolio
w-1/3
wz-1/3
wy-1/3
Correlation Among Investment
1 and 2 (p2)-0.30
1 and 3 (pu) --0.40
2 and 3 (s) --0.10
Portfolio Data for Financial Servicing Analysis Under Risk
a. Calculate the expected retum of the portfolio.
b. Calculate the variance and the standard deviation of the portfolio.
c. Calculate the variance and standard deviation of the portfolio assuming that the
correlation among the investments is all equal to 0.
d. Calculate the variance and standard deviation of the portfolio assuming that the
correlation among the investments is all equal to 1.
c. Which scenario should the investor prefer [i.e., (b.), (c.), or (d.)]? Explain your
answer.
Question 2
What conditions must exist for diversification to be an effective risk response? How does
correlation afTect diversification?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0385f72-8763-45ea-bcc3-f03b7fe46dd1%2Fc2f71c94-70c9-40ab-a455-c3e7aff5804f%2Fo4xmson_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
Consider an investor's choice of a farm unit in the Corn Belt, one in the Califormia Central
Valley, or the one in the Great Plains region. An investor added these three assets in one
portfolio. The portfolio composed of equal proportions of the three investments. Use the
information in the table below to answer the questions that follows (show all your work for
partial credits).
Investment Alternatives
Corn Belt (1)
Central Valley (2)
Great Plains (3)
Exp. Return
n-0.14
0.12
n-0.07
Std. Dev.
O-0.08
o-0.05
oy-0.01
Weight in Portfolio
w-1/3
wz-1/3
wy-1/3
Correlation Among Investment
1 and 2 (p2)-0.30
1 and 3 (pu) --0.40
2 and 3 (s) --0.10
Portfolio Data for Financial Servicing Analysis Under Risk
a. Calculate the expected retum of the portfolio.
b. Calculate the variance and the standard deviation of the portfolio.
c. Calculate the variance and standard deviation of the portfolio assuming that the
correlation among the investments is all equal to 0.
d. Calculate the variance and standard deviation of the portfolio assuming that the
correlation among the investments is all equal to 1.
c. Which scenario should the investor prefer [i.e., (b.), (c.), or (d.)]? Explain your
answer.
Question 2
What conditions must exist for diversification to be an effective risk response? How does
correlation afTect diversification?
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