a. I would rather win a gift card so I can get whatever I want it would depend on it gift card. risk lover, preferring a risky income to a certain income with the same expected value.
7. the midpoint of the chord that runs from zero and intersects the utility function where wealth is 100, represents Bob's
expected utility of receiving $0 50% of the time and $100 50% of the time.
8. Bob's expected utility is at point a. it is the sum of the utilities associated with all possible outcomes, weighted by the probability that each outcome will occur.
9.Bob is risk averse. because he willing to pay a premium to avoid a risky situation.
10.to reduce the chance of theft to zero. Bob is willing to pay $70 to ensure himself against such a loss.
a. If your are offered a gift card valued $50 or the chance at a raffle...
2. Consider two lotteries, A and B. With lottery A, there is a 0.90 chance that you receive a payoff of S0 and a 0.10 chance that you receive a payoff of $400. With lottery B, there is a 0.50 chance that you receive a payoff of S30 and a 0.50 chance that you receive a payoff of $50, a) Verify that these two lotteries have the same expected value but that lottery A has a bigger variance than lottery...
5. Expected Utility Suppose there are lotteries: Lotter 1: 50% chance of getting 100 million and 50% chance of getting 500 million Lotter 2: 50% chance of getting 200 million and 50% chance of getting 400 million two If I prefer Lottery 1 to Lottery 2, I am risk averse or risk neutral or risk seeking?
Utility 50 75 Income (5) 59 Figure 5.2.2 The individual pictured in Figure 5.2.2: must be risk-averse. could be risk-averse, risk-neutral, or risk-loving. O must be risk-loving.
5. Risk aversion Erik is an investor with $5,000 available for investment. He has the folllowing three investment possibilities from which to choose: Option Scenarios Keep the $5,000 in cash for one year 1 2 Invest in a friend's business with a 50% chance of getting $10,000 after one year and a 50% chance of getting nothing Invest in a relative's business with a 3 30% chance of getting $15,000 after one year, 20% chance of getting $2,500 after one...
4. Risk aversion Erik is an investor with $5,000 available for investment. He has the following three investment possibilities from which to choose: Option Scenarios Keep the $5,000 in cash for one year. Invest in a friend's business with a 50% chance of getting $10,000 after one year and a 50% chance of getting nothing. Invest in a relative's business with a 30% chance of getting $15,000 after one year, 20% chance of getting $2,500 after one year, 50% chance...
Tom borrowed a USS 1,000 camera for one year There is a 5% chance that the camera will be stolen during the period. If it gets stolen, he will have to buy another one (same model, same price). He could pay USS 55 for a one-year insurance to cover theft. Tom's utility function for wealth can be modeled as u(x)-xA0.5 where x>-0. Tom's prospect theory (PT) value function can be modeled as v(x)-x"O.5 if x>=0 or as -5(-x) 0.5 if...
1) Bob's income is $90,000. There is a 20% chance Bob will get sick during the next year. If Bob gets sick, he will incur a loss of $27,500. His utility function is U(U)=105 (that is, utility equals the square root of Income). (25 pts) a) What is Bob's expected income? b) What is Bob's expected loss? c) What is Bob's expected utility? d) What is the maximum amount of money Bob is willing to pay for insurance? What is...
2. (a) Explain the terms risk averse, risk loving and risk neutral with the aid of diagrams. Jane's utility (U) depends upon her income( Y) according to the following table U(Y) 50 7 100 9.5 150 200一一 14 250 300 350 12 16.5 17 19 She has received a prize with an uncertain value. In particular, with probability 0.25 she wins $300 and with probability 0.75 she wins $100. (b) What is the expected payoff from this prize? What is...
6. A decision maker has a vNM utility function over money of u(x) = x2. This decision maker is (a) risk-averse. (b) risk-neutral. (c) risk-loving. (d) none of the above. 7. Consider two lotteries: • Lottery 1: The gamble (0.1, 0.6, 0.3) over the final wealth levels ($1, $2, $3). (The expected value of this lottery equals $2.2) • Lottery 2: Get $2.2 for sure. a) Any risk-averse individual will choose the first lottery. b) Any risk-averse individual will choose...
risk friendly / risk-averse would / would not greater than / less than 5. Understanding risk aversion Suppose your fr end Gilberto offers you the following bet: He will flip、coin and pay you S3,000 if it lands heads up and collect S3 000 from you if it lands tails up. Currently, your level of wealth is $9,000. The graph shows your uility function from wealth. Use the graph to answer te ollowing questions 83 60 43 2D WEALTH (Thoueards cr...