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NEW QUESTION: 1
A hedge fund offers a fund with an expected volatility of 12% and expected returns of 12%. The risk free rate is 4%. An institutional investor wants the hedge fund manager to invest 60% of their total allocation to the fund, and the rest in the risk free asset. What expected return and volatility can the institutional investor expect?
A. 12% expected return and 12% volatility
B. 12% expected return and 7.2% volatility
C. 8.8% expected return and 7.2% volatility
D. Cannot be determined in the absence of correlation data between the two
Answer: C
Explanation:
Explanation
This is a straightforward case of basic portfolio math - the only thing being that we are not explicitly given the correlation between the two assets, nor are we given the volatility of the risk free asset. But since the other asset in the portfolio is the risk free asset, it has no risk, ie its volatility is zero, and its correlation with the fund run by the hedge fund manager is also zero. Portfolio returns will be the average returns of the two assets, and portfolio variance will be given by the formula portfolio_vol. Its square root will provide the portfolio volatility.
Therefore the expected returns are = 60%*12% + 40%*4% = 8.8%
The combined volatility of this portfolio will be given by (in Excel formula format) as =SQRT((60%*12%)