Jeremy the Treasure Hunter went to an antique show last week and was interested in buying a piece of furniture with an asking price of $86,000. However, antique price is highly volatile with future value heavily depending on market conditions. The table below shows three scenarios of market conditions, values of this antique furniture, and their respective probabilities in one year. Market Condition Value of the Antique Furniture Probability Boom Transition Bust $180,000 $70,000 $24,000 25% 50% 25% 1. (1 point) What is the Expected Value of this antique furniture in one year? 2. (4 points) Assume log utility for Jeremy the Treasure Hunter. That is, his utility U is given by the function U = In(W), where W is the future value of the antique furniture. Should Jeremy buy this piece at the asking price? Ignore time value of money, i.e., assume discount rate at 0%. 3. (2 points) What is the Certainty Equivalent of this risky purchase opportunity? 4. (2 points) What is the highest price Jeremy would want to pay for this antique furniture? Is it higher or lower than the Expected Value in part 1? Explain why briefly.