Question 23 Select ALL that is TRUE. You may select more than one. OUtility function of a risk averse person increases in wealth at an increasing rate. Utility function of a risk neutral person increases in wealth at a constant rate. A rational manager is one who chooses the strategy that maximizes expected utility, which is the probability weighted sum of the utility associated with each possible outcome. Utility function of a risk loving person increases in wealth at a decreasing rate. A risk loving person prefers to select investment options that have very little variation in the expected returns. 000

Question 23 Select ALL that is TRUE. You may select more than one. OUtility function of a risk averse person increases in wealth at an increasing rate. Utility function of a risk neutral person increases in wealth at a constant rate. A rational manager is one who chooses the strategy that maximizes expected utility, which is the probability weighted sum of the utility associated with each possible outcome. Utility function of a risk loving person increases in wealth at a decreasing rate. A risk loving person prefers to select investment options that have very little variation in the expected returns. 000

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.14P

See similar textbooks

Similar questions

Microeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)
Questions 18 through 20 refer to the following information: Shawn's consumption is subject to risk. With probability 0.75 he will enjoy 10000 in consumption, but with probability 0.25 he will have only 3600. His utility function for consumption is given by v(c) = vc. Question 18 What is the expected value of Shawn's consumption? Question 19 What is his expected utility?
Economics Shawn's consumption is subject to risk. With probability 0.75 he will enjoy 10000 in consumption, but with probability 0.25 he will have only 3600. His utility function for consumption is given by v(c) = Vc. -What is the expected value of Shawn's consumption? -What is his expected utility? -What is his certainty equivalent of having 10000 with probability 0.75 and 3600 with probability 0.25?
19. An individual has initial wealth Wo = 3 and has the opportunity to invest some quantity of money x in an extremely risky corporate bond. With probability p= 1/4, the bond will be worth 10x at maturity. With probability 1 – p, it will be worth zero. The individual's utility function over final wealth is u(W) = W0.5. What is the level of investment x that maximizes expected utility? (а) 0 (b) 1 (c) 4/3 (d) V3 (e) 2
2. Two individuals have the same income ($100,000), but different potential healthcare expenses. Person A's probability of having $80,000 in healthcare expenses is 0.5 percent. Person B's probability of having $800 in healthcare expenses is 50 percent. Assume your utility is U = VI where I is your income. Calculate each person's expected income and expected utility. Calculate each person's certainty equivalent. What does value of the certainty equivalent tell you about how much each person would be willing to insure against their loss?
6. Policyholders are assumed to have a utility function u(x) = e- where > 0 varies between policyholders following an exponential distribution with unknown mean. An insurance company sells an insurance policy which covers a risk which causes a loss of $6,000 with probability 0.4. There are 3,000,000 potential customers for this policy. The insurer finds that when the premium for the policy is set to $3000, they are able to sell 952,000 policies. How many policies would they sell if they increased the premium to $4,000?
Suppose that Mary has a utility function U(W) W power of 0.5. Her only asset is the shares in the start-up e-com company. Next week she will learn the stock's value. She believes that it is worth $225 with the probability 1/3, $196 with the probability 1/2 and $144 with the probability 1/6. Write down the prospect and calculate the expected value and her expected utility.
Question 3: Jane has utility function over her net income U(Y)=Y2 a. What are Jane's preferences towards risk? Is she risk averse, risk neutral or risk loving? [Briefly explain your answer] b. Jane drives to work every day and she spends a lot of money on parking meters. She is considering of cheating and not paying for the parking. However, she knows that there is a 1/4 probability of being caught on a given day if she cheats, and that the cost of the ticket is $36. Her daily income is $100. What is the maximum amount of she will be willing to pay for one day parking? c. Paul also faces the same dilemma every single day. However, he has a utility function U(Y)-Y. His daily income is also $100. What is Paul's preference towards risk? Is he risk averse, risk neutral or risk loving? d. If the price of one day parking is $9.25, will Paul cheat or pay the parking meter? Will Jane cheat or pay the parking meter?
10. Karl's utility function is U(w) = 20 is w. = 300. He considers a gamble in which he could win 200 with probability p or lose 200 with probability 1 described by expected utility theory. He is indifferent between keeping his initial wealth for sure or taking the gamble if the value of p is where w is wealth. His initial wealth %3D w+200 - p. Karl's preferences in the face of risk are (a). 4 (b) .5 (c) .6 (d) .7 (e) .8
Yuri owns just one ship, he calls it Previt. The ship is worth $25 million dollars. If the ship sinks, Yuri loses $25 million. The probability that it will sink is .02. Yuri's total wealth, including the value of the ship is $50 million. He is an expected utility maximizer with utility U(W) equal to W?. What is the maximum amount that Yuri would be willing to pay in order to be fully insured against the risk of losing his ship? a. $4 million b. $ 1.96 million c. $ 0.39 million d. $ 3.9 million e. $ 5.96 million f. None of the above, the right answer is:
# 4 Consider an individual with a utility function of the form u(w) = √w. The individual has an initial wealth of $4. He has two investments options available to him. He can eitffer keep his wealth in an interest-free account or he can take part in a particularly generous lottery that provides $12 with probability of 1/2 and $0 with probability 1/2. Assume that this person does not have to incur a cost if he decides to take part in the lottery. (a) Will this individual participate in the lottery? (b) Calculate this individual's certainty equivalent associated with the lottery. What is his risk premium?
Economics Yuki has a utility function given by u(x) = In(x). She faces a gamble that pays 10 with probability 0.5 and 15 with probability 0.5. Comment on how Yuki's certainty equivalent relative to the expected value varies as her utility function goes from concave from convex.