Given there are two assets making up a portfolio where each asset has the following characteristics: Asset Expected return 10% Risk (standard deviation) 1 4% 2 16% 11% The correlation between the two assets is -1. (a) Given that the proportion invested in each asset is 50%, compute the expected return of the portfolio. (b) Given that the proportion invested in each asset is 50%, compute the portfolio risk, i.e. standard deviation of the portfolio. (c) Without using a graph paper, scratch a diagram to illustrate the portfolio diversification. Show the portfolio risk for perfect positive correlation and perfect negative correlation.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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Given there are two assets making up a portfolio where each asset has the following characteristics:
Asset
Risk (standard deviation)
Expected return
10%
1
4%
2
16%
11%
The correlation between the two assets is -1.
(a)
Given that the proportion invested in each asset is 50%, compute the expected return of the
portfolio.
(b)
Given that the proportion invested in each asset is 50%, compute the portfolio risk, i.e.
standard deviation of the portfolio.
(c)
Without using a graph paper, scratch a diagram to illustrate the portfolio diversification.
Show the portfolio risk for perfect positive correlation and perfect negative correlation.
(d)
If the proportion invested in asset 1 is , compute the new expected return of the portfolio.
Show the new expected return in the same diagram in part (c).
Transcribed Image Text:Given there are two assets making up a portfolio where each asset has the following characteristics: Asset Risk (standard deviation) Expected return 10% 1 4% 2 16% 11% The correlation between the two assets is -1. (a) Given that the proportion invested in each asset is 50%, compute the expected return of the portfolio. (b) Given that the proportion invested in each asset is 50%, compute the portfolio risk, i.e. standard deviation of the portfolio. (c) Without using a graph paper, scratch a diagram to illustrate the portfolio diversification. Show the portfolio risk for perfect positive correlation and perfect negative correlation. (d) If the proportion invested in asset 1 is , compute the new expected return of the portfolio. Show the new expected return in the same diagram in part (c).
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