3. An investor is considering three alternatives-a certificate of deposit, a low risk stock fund, and a high risk stock fund- for a $20,000 investment. The investor considers three possible states of nature S1: Strong stock market, S2: Moderate stock market, S3: Weak stock market The payoff table (in dollars) is as follows: Action States of nature S1 S2 S3 Possible investment alternative Certificate of deposit 1,200 1,200 1,200 4,300 1,200 -600 Low-risk stock High-risk stock fund 6,600 800 -1500 (i) Which action is selected by the investor if he is a risk seeker? [2 marks] (ii) Which action is selected by the investor if he is a risk averter? [2Marks] (iii) Which criteria is selected by the minim ax regret criterion? [3Marks] (iv) Draw the decision tree for the investor's problem. [2Marks]