Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets: a. What are her expected returns and the risk from her investment in the three assets? How do they compare with investing in asset M alone? Hint. Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O. . Could Sally reduce her total risk even more by using assets M and N only, assets M and O only, or assets N and O only? Use a 50/50 split between the asset pairs, and find the standard deviation of each asset pair. a. What is the expected return of investir 8.40% (Round to two decimal places.) What is the expected return of investing i % (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) States Probability 35% Asset M Return 10% Boom Normal 54% 7% Recession 11% -2% Asset N Return 21% 12% 1% Asset O Return - 2% 7% 10% -
Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets: a. What are her expected returns and the risk from her investment in the three assets? How do they compare with investing in asset M alone? Hint. Find the standard deviations of asset M and of the portfolio equally invested in assets M, N, and O. . Could Sally reduce her total risk even more by using assets M and N only, assets M and O only, or assets N and O only? Use a 50/50 split between the asset pairs, and find the standard deviation of each asset pair. a. What is the expected return of investir 8.40% (Round to two decimal places.) What is the expected return of investing i % (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) States Probability 35% Asset M Return 10% Boom Normal 54% 7% Recession 11% -2% Asset N Return 21% 12% 1% Asset O Return - 2% 7% 10% -
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
![Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets:
a. What are her expected returns and the risk from her investment in the three assets? How do they compare with investing in asset M alone? Hint Find the standard deviations of
asset M and of the portfolio equally invested in assets M, N, and O.
b. Could Sally reduce her total risk even more by using assets M and N only, assets M and O only, or assets N and O only? Use a 50/50 split between the asset pairs, and find the
standard deviation of each asset pair.
a. What is the expected return of investir
8.40% (Round to two decimal places.)
What is the expected return of investing
% (Round to two decimal places.)
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
States
Probability
35%
Asset M Return
10%
Boom
Normal
54%
7%
Recession
11%
-2%
Asset N Return
21%
12%
1%
Asset O Return
- 2%
7%
10%
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70d6cda2-b7e6-424b-9dee-47917aafba78%2Fc2513417-4253-4b1a-9b8d-7c6a2c019b36%2Fl9kmvac_processed.png&w=3840&q=75)
Transcribed Image Text:Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets:
a. What are her expected returns and the risk from her investment in the three assets? How do they compare with investing in asset M alone? Hint Find the standard deviations of
asset M and of the portfolio equally invested in assets M, N, and O.
b. Could Sally reduce her total risk even more by using assets M and N only, assets M and O only, or assets N and O only? Use a 50/50 split between the asset pairs, and find the
standard deviation of each asset pair.
a. What is the expected return of investir
8.40% (Round to two decimal places.)
What is the expected return of investing
% (Round to two decimal places.)
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
States
Probability
35%
Asset M Return
10%
Boom
Normal
54%
7%
Recession
11%
-2%
Asset N Return
21%
12%
1%
Asset O Return
- 2%
7%
10%
X
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