Assume you are considering a portfolio containing Asset 1 and Asset 2. Asset 1 will represent 37% of the dollar value of the​ portfolio, and asset 2 will account for the other 63%. Assume that the portfolio is rebalanced at the end of each year. The expected returns over the next 6​ years, 2021–2026​, for each of these assets are summarized in the following​ table: Data table ​(Click on the icon here    in order to copy the contents of the data table below into a​ spreadsheet.)     Projected Return Year Asset L Asset M 2021 −9​%   33​%   2022 15​%   5​%   2023 26​%   −9​%   2024 4​%   18​%   2025 −9​%   33​%   2026 33​%   −18​% . a. Calculate the expected portfolio​ return, rp​, for each of the 6 years. b. Calculate the average expected portfolio​ return, rp​, over the​ 6-year period. c. Calculate the standard deviation of expected portfolio​ returns, sp​, over the​ 6-year period. d. Assume that asset 1 represents 63% of the portfolio and asset 2 is 37%. Calculate the average expected return and standard deviation of expected portfolio returns over the​ 6-year period. e. Compare your answers in part d to the answers from parts b and c.

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
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Assume you are considering a portfolio containing Asset 1 and Asset 2. Asset 1 will represent
37%
of the dollar value of the​ portfolio, and asset 2 will account for the other
63%.
Assume that the portfolio is rebalanced at the end of each year. The expected returns over the next 6​ years,
2021–2026​,
for each of these assets are summarized in the following​ table:
Data table
​(Click on the icon here
  
in order to copy the contents of the data table below into a​ spreadsheet.)
 
 
Projected Return
Year
Asset L
Asset M
2021
−9​%
 
33​%
 
2022
15​%
 
5​%
 
2023
26​%
 
−9​%
 
2024
4​%
 
18​%
 
2025
−9​%
 
33​%
 
2026
33​%
 
−18​%
.
a. Calculate the expected portfolio​ return,
rp​,
for each of the 6 years.
b. Calculate the average expected portfolio​ return,
rp​,
over the​ 6-year period.
c. Calculate the standard deviation of expected portfolio​ returns,
sp​,
over the​ 6-year period.
d. Assume that asset 1 represents
63%
of the portfolio and asset 2 is
37%.
Calculate the average expected return and standard deviation of expected portfolio returns over the​ 6-year period.
e. Compare your answers in part d to the answers from parts b and
c.
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