1. What are some of the concerns or qualitative issues that serve to restrict the optimal allocation of capital to hedge funds?
2. Assume a HNWI who is invested 50-50 in stocks and bonds wants to allocate 30 percent of his current portfolio to hedge funds. His advisor suggests reallocating a portion of his equity investments to meet this objective. Assume the historical performance for stocks are 10 percent, bonds are 6 percent, and hedge funds are 10 percent.
a. What is the original expected return of the portfolio?
b. What is the new expected return of the portfolio?
3. Assume the returns in the previous question; that the volatility of stocks is 15 percent, of bonds is 8 percent, and of hedge funds is 7 percent; and that the correlation between stocks and bonds is .1, between stocks and hedge funds is .4, and between bonds and hedge funds is negative 0.1.
a. What is the optimal percentage weight allocated to each category to minimize risk?
b. What is the expected return from this portfolio?
c. What is the expected standard deviation of this portfolio?
d. What is the new Sharpe ratio of this portfolio?
4. Why did the ratio of risk to reward change in the previous question, and was the change beneficial to the portfolio?
5. Now assume that there is a maximum allocation to hedge funds of 25 percent. How does that change the optimal weights, expected return, and standard deviation?
6. What would be the change in hedge fund assets ...