Jim Holtzhauer Is Playing the Tables at Vegas

Multiple Choice

Jim Holtzhauer is playing the tables at Vegas. He currently has $4000, which I will denote as 4K in order to keep things simple. He is looking at a bet where with ½ chance he can win 2K while with ½ chance he will lose 2K. Jim's utility of wealth function is given by U(W) = (W) ². (U(W) is equal to the W Squared) . Based on this information, you would conclude that:

A) Jim has no Certainty Equivalent since he always prefers to gamble rather than settle for a certain amount.
B) Jim's certainty equivalent is 4K.^.
C) Jim's certainty equivalent is 4.47K.
D) Jim is risk-averse.