In: Economics
Tim has a concave utility function u(w) = w ‐ w²/2, where w∈[0,1]
His only major asset is shares in an Internet start‐up company. Tomorrow he will learn his stock's value. He believes that it is worth $w0 with probability 4/5 and $w1 with probability 1/5, with w1 > w0.
1) Calculate the expected value of the lottery, the expected utility, and the utility of the expected value.
2) If w0 = 1/3 and w1 = 2/3. Compute the risk premium.
c) Draw a graph for Q2.