QUESTION 1 An investor has 3 product choices in a year long investment with forecasted outcomesbank deposit (2.1% guaranteed); a bond mutual fund (0.35 probability of a 4.5% return; 0.65 probability of 7%), and a growth mutual fund (0.25 probability of 3.5% return, 50% probability of 4.5%, and remaining probability of 10.0%). a. Draw the decision tree and calculate the expected value of the three investment choices. You decide that the maximum expected value is how you will choose an investment. What is your investment choice? (7 marks) b. What will the guaranteed return for the bank deposit have to be to change your decision in favor of the bank deposit? (6 marks) c. Create a spreadsheet that permits you to perform the following sensitivity analysis: What must the value of the largest return (currently 7%) for the bond fund be for the expected value of the bond fund to be equal to the expected value of the growth fund? (7 marks)