The research department of your asset management firm has measured the coefficient of absolute risk aversion () for all your clients. These coefficients range from -5 to +10. Your company has four funds in which clients can invest, but they can only choose one. The risk and return on these funds are given below. Fund No. Expected Return, () 1 0.12 2 0.15 3 0.21 Standard Deviation, 0.30 0.50 0.16 0.21 4 0.25 a. Assume all individuals have the utility function: = () ! ". For all " possible values in the measured range of the coefficient of absolute risk aversion, identify which fund would be best suited for an individual. Describe the results both as ranges of the risk aversion parameter and present them in the graphical form you deem the most understandable. b. Based on the results of the preceding analysis, what recommendations might you give to your boss about the make-up of the companys funds?