Suppose there are two states of the world (state 1, 2), that occur with probability and (1 - ), respectively. Your indirect utility from money within any state of the world is given by ule) = ct. You currently have $4096, but face a one-fourth chance of losing $3840, leaving you with just $256. Let that state 2 be the "good" state in which you have c = 4096, and state 1 is the "bad" state in which you have c = 256; there is probability * = 1 of state 1 occurring. (a) What is the expected (consumption) value of this lottery, Ec? (b) What is your expected utility from this lottery, Elul? (c) Compare your answer from (b) to the utility of your answer from (a) - that is, the utility you would receive if you consumed your expected value of the lottery for sure. What does this say about whether you are risk averse, risk neutral, or risk loving? (a) What is your certainty equivalent (CE) for this lottery? (e) What is your risk premium (r)