(a). Which would you prefer as an investor (circle one)? Why?

i An investment with a 20% return half the time and a -10% return half the time.

ii An investment with a 30% return half the time and a -25% return half the time.

(b) For a hedge fund with 2% management fees and a 20% performance fee benchmarked to the risk-free rate of 0%, what are the average fees they get (as a percent of assets under management) if their pre-fee returns are 20% half of the time and -10% half the time?

(c) For a hedge fund with 2% management fees and a 20% performance fee benchmarked to the risk-free rate of 0%, what are the average fees they get (as a percent of assets under management) if their pre-fee returns are 30% half of the time and -25% half the time?

(d) Which would you prefer as a hedge fund manager maximizing your expected fees (circle one)?

i An investment with a 20% return half the time and a -10% return half the time.

ii An investment with a 30% return half the time and a -25% return half the time.