Portfolio Theory with 2 Risky Assets 1. The expected returns and standard deviation of returns for two securities are as follows: Security Z Security Y Expected Return 15% Standard Deviation 20% 35% 40% The correlation between the returns is + .25. (a) Calculate the expected return and standard deviation for the following portfolios: i. all in Z ii. .75 in Z and .25 in Y iii. .5 in Z and .5 in Y iv. .25 in Z and .75 in Y v. all in Y (b) Draw the mean-standard deviation frontier. (c) Which portfolios might be held by an investor who likes high mean and low standard deviation?

EBK CFIN
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ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter8: Risk And Rates Of Return
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Portfolio Theory with 2 Risky Assets
1. The expected returns and standard deviation of returns for two securities are as follows:
Security Z Security Y
Expected Return
15%
Standard Deviation 20%
35%
40%
The correlation between the returns is + .25.
(a) Calculate the expected return and standard deviation for the following portfolios:
i. all in Z
ii. .75 in Z and .25 in Y
iii. .5 in Z and .5 in Y
iv. .25 in Z and .75 in Y
v. all in Y
(b) Draw the mean-standard deviation frontier.
(c) Which portfolios might be held by an investor who likes high mean and low
standard deviation?
Transcribed Image Text:Portfolio Theory with 2 Risky Assets 1. The expected returns and standard deviation of returns for two securities are as follows: Security Z Security Y Expected Return 15% Standard Deviation 20% 35% 40% The correlation between the returns is + .25. (a) Calculate the expected return and standard deviation for the following portfolios: i. all in Z ii. .75 in Z and .25 in Y iii. .5 in Z and .5 in Y iv. .25 in Z and .75 in Y v. all in Y (b) Draw the mean-standard deviation frontier. (c) Which portfolios might be held by an investor who likes high mean and low standard deviation?
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