Question: Answer the following 3 questions using this information: You are an investment adviser with different clients. You have the option to invest in a risky
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Answer the following 3 questions using this information:
You are an investment adviser with different clients. You have the option to invest in a risky asset (A) that gives you 10% expected return with 15% risk (standard deviation). The return that you will receive by investing in US Treasury Bill is 4% without any risk.
You have a client who wants to have an investment portfolio that gives her 7% expected return. Let's call it portfolio X. You create portfolio X by combining asset A and US T-Bill. What would be the risk (standard deviation) of portfolio X?
15%
7.5%
0
5%
If your client's risk aversion coefficient, A, is equal to 6 and her utility function is quadratic, how much utility does portfolio X give her?
| 0.07 | ||
| 0.065 | ||
| 0.053 | ||
| 0.058 |
Let's assume you combine risky asset A and risk-free US T-Bill, 30%-70%, and create a new portfolio, Y, for your client.
Compared to portfolio X, portfolio Y has:
| higher utility and same Sharpe ratio | ||
| lower utility and same Sharpe ratio | ||
| lower utility and lower Sharpe ratio | ||
| higher utility and higher Sharpe ratio |
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