Mike is the proud owner of Prospect X, which he values at $10 (so, for Mike, CE(X) = $10). If EV(X) = $12, what is the most you can say about Mike's risk preferences and/or his utility of wealth function? (Select all that apply) O Mike's utility of wealth function must be concave. O Mike must be risk averse. O For Mike, it must be the case that U(EVIX) > $10. O IF Mike had to choose between Prospect X and receiving $9 with certainty, he would choose the $9.
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- Consider a risk-neutral agent who maximizes expected utility of wealth facing a lottery with a "bad" (wealth remains the same) and a "good" (wealth increases by a small amount) outcome (both with non-zero probabilities). For this agent, O the certainty equivalent will be zero, but the risk premium will be greater than zero. O the certainty equivalent will be greater than zero, but the risk premium will be zero. O the certainty equivalent will be greater than zero, but the risk premium will be less than zero. O the certainty equivalent will be less than zero, but the risk premium will be greater than zero. O the certainty equivalent and the risk premium will both be zero. there is not enough information to make statements about the certainty equivalent and the risk premium.Your utility function is U(X) I+1 where is x is the amount of money at stake and x > 0. %3D What does the utility function reveal about your risk attitude? O a. Your are risk-seeking. O b. Impossible to say. O c. You are risk-neutral. O d. You are risk-averse.Your utility function for income is characterized by U(I) = 10.6, and you are %3D considering a job opportunity that may pay $30,000 per year or $80,000 per year with equal probabilities. Find the maximum you are willing to pay to fully insure yourself? [Please choose the closest answer] O $20,000 $25,000 $20,075 O $1,374 O $22,500 O $21,500 $27,398 O $2,468
- 2. Kier, in The scenario, wants to determine how each of the 3 companies will decide on possible new investments. He was able to determine the new investment pay off for each of the three choices as well as the probability of the two types of market. If a company will launch product 1, it will gain 50,000 if the market is successful and lose 50,000 if the market is a failure. If a company will launch product 2, it will gain 25,000 if the market is successful and lose 25,000 if the market will fail. If a company decides not to launch any of the product, it will not be affected whether the market will succeed or fail. There is a 56% probability that the market will succeed and 44% probability that the market will fail. What will be the companies decision based on EMV? What is the decision of each company based on expected utility value?1. A woman with current wealth X has the opportunity to bet an amount on the occurrence of an event that she knows will occur with probability P. If she wagers W, she will received 2W, if the event occur and o if it does not. Assume that the Bernoulli utility function takes the form u(x) = -e-rx with r>0. How much should she wager? Does her utility function exhibit CARA, DARA, IARA?Your friend is contemplating buying a local restaurant. He has assessed the lifetime profits, including resale, to be $11 million with 20% chance, $6 million with 60% chance or $3 million with 20% chance. Knowing the most your friend would pay for the restaurant is $6.4 million, what can you infer about the situation? O A. The expected payoff of the restaurant is $6.333 million, the risk-discount being offered by your friend is $77.000 and your friend is risk averse with respect to this purchase. O B. The expected payoff of the restaurant is $6.4 million, the risk-premium being required by your friend $0 and your friend is risk neutral with respect to this purchase. o C. The expected payoff of the restaurant is $6.4 million, the risk-premium being required by your friend $200,000 and your friend is risk seeking with respect to this purchase. O D. The expected payoff of the restaurant is $6.333 million, the risk-premium being required by your friend is $333,000 and your friend is risk…
- 1. A woman with current wealth X has the opportunity to bet an amount on the o ccurrence of an event that she knows will occur with probability P. If she wager s W, she will received 2W, if the event occur and if it does not. Assume that t he Bernoulli utility function takes the form u(x) = -e-TX with r> 0. How much should she wager? Does her utility function exhibit CARA, DARA, IARA?2 Prove rigourously, "Constant relative risk aversion (CRRA) implies decreasing absolute risk aversion (DARA), but the converse is not necessarily true."2. Suppose you asked the following question to Person A and Person B: "How much are you willing to pay to avoid the following fair gamble – win $100 with 50% chance and lose $100 with 50% chance (thus, Variance is equal to 10,000)?" A's answer- $2 B's answer-$10 Assuming that A and B have CARA utility function, a) compute their absolute risk aversion coefficients (approximately) and b) compute their risk premiums for avoiding the following new gamble - win $500 with 50% chance and lose $500 with 50% chance.
- 6) Leia has $11,000 and she wants to invest in financial market. There are two types of assets. The first one guarantees 0.1 percent return next year. The second one is a risky asset which will yield 0.5 percent return in good times and 0.4 percent of loss in bad times. Suppose the chance of good and bad times is half-half and Leia's utility function is U(Y) = Y 0.5 %3D a). What is the expected utility if she invest in the first asset? b). What is the expected utility if she invest in the second asset? Will Leia chooses the first or the second asset? c). Suppose that Leia can purchase a financial insurance which cost her $100 and cover all her lost when bad times happen. Will she purchase this insurance?Hello can any one help with this Economics question: A contractor spends Dollar 3,000 to prepare for a bid on a construction project which, after deducting manufacturing expenses and the cost of bidding, will yield a profit of dollar 25,000 if the bid is won. If the chance of winning the bid is ten per cent, compute his expected profit and state the likely decision on whether to bid or not to bid?You and a coworker are assigned a team project on which your likelihood or a promotion will be decidedon. It is now the night before the project is due and neither has yet to start it. You both want toreceive a promotion next year, but you both also want to go to your company’s holiday party that night.Each of you wants to maximize his or her own happiness (likelihood of a promotion and mingling withyour colleagues “on the company’s dime”). If you both work, you deliver an outstanding presentation.If you both go to the party, your presentation is mediocre. If one parties and the other works, yourpresentation is above average. Partying increases happiness by 25 units. Working on the project addszero units to happiness. Happiness is also affected by your chance of a promotion, which is depends on howgood your project is. An outstanding presentation gives 40 units of happiness to each of you; an aboveaverage presentation gives 30 units of happiness; a mediocre presentation gives 10 units…