As in the previous exercise, consider an initial wealth of 10 and the lottery X˜ . Assume now that the utility is: u = w for w <= 10, 1/2 w + 5 for w >= 10.
(a) Draw the utility function. Is it globally concave?
(b) Compute the certainty equivalent and the risk premium attached to X˜ .
(c) Can you apply the Arrow–Pratt approximation? Why?