Question: You are a share analyst employed by a large multinational investment fund and have been supplied with the following information: Asset Expected Return (%) Standard
You are a share analyst employed by a large multinational investment fund and have been supplied with the following information:
Asset Expected Return (%) Standard Deviation (%)
BHZ 9.0 8.0
ANB 13.0 48.0
You are also told that the correlation coefficient between the returns of the two firms is 0.80. A client currently has all of her wealth invested in BHZ shares. She wishes to diversify her portfolio by redistributing her wealth such that 30 percent is invested in BHZ shares and 70 percent in ANB shares.
Part A: Calculated following and please show your working steps, formulas, and calculation in detail.
a. What will be the expected return of the new portfolio?
b. What will be the standard deviation of returns for the new portfolio?
Part B: After constructing the portfolio and reporting the results to your client, she is quite upset, saying "I thought the whole purpose of diversification was to reduce risk? Yet you have just told me that the variability of my portfolio has actually increased from what it was when I invested only in BHZ"
Provide a response to your client that demonstrates how the new portfolio does or does not reflect the benefit of diversification.
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