Mike has a utility function expressed by U(W)= W.5, where W stands for wealth(assuming wealth is positive, i.e. W>0), and U(W) is the utility given a certain level ofW. Mike has initial wealth of $10,000. Mike feels that he faces the followingprobability distributions of losses with respect to his wealth:Loss Amount ($) Probability$0$1,000$8,00070%20%10%Is Mike a risk averse person?Yeş, since his utility curve is concave.O No, since his utility curve is concave.No, since his utility curve is convex.Yes, since his utility curvejs convex.

Mike utility function is given below: U = W0.5 Where W is wealth ------- A person is said to be…

Answered: Mike has a utility function expressed…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Rice farming is risky and generates expected income of $100. The certainty equivalent associated with rice farming will be greater than $100 for a risk averse individual and less than $100 for a risk loving individual. True or False
Janet's broad attitude to risk (risk averse, risk neutral, or risk loving) is independent of her wealth. She has initial wealth w and is offered the opportunity to buy a lottery ticket. If she buys it, her final wealth will be either w + 4 or w – 2, each equally likely. She is indifferent between buying the ticket and not buying it. Janet offers her friend Sam (who has identical preferences and initial wealth) the following proposition: They buy the ticket together, and share the cost and proceeds equally. Sam has another idea: They buy two tickets (that have independent outcomes) and share the costs and proceeds equally. Suppose that Janet's and Sam's utility of income is given by u(x) = In x and the initla wealth of each one of them is equal to w = 4. Which of the following statements is true? O a. Both agents prefer Sam's solutions to Janet's solution. b. Both agents prefer Janet's solutions to Sam's solution. The agents are indifferent between Janet's solutions to Sam's solution.…
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You need to hire some new employees to staff your startup venture. You know that potential employees are distributed throughout the population as follows, but you can't distinguish among them: Employee Value $30,000 $49,000 $68,000 $87,000 Probability 0.25 0.25 0.25 0.25 The expected value of hiring one employee is $ Suppose you set the salary of the position equal to the expected value of an employee. Assume that employees will not work for a salary below their employee value. The expected value of an employee who would apply for the position, at this salary, is $ Given this adverse selection, your most reasonable salary offer (that ensures you do not lose money) is
In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 8 What is the expected value of profit? a $136 b $142 c $148 d $154
The value of a successful project is $420,000; the probabilities of success are 1/2 with good supervision and 1/4 without. The manager is risk neutral, not risk averse as in the text, so his expected utility equals his expected income minus his disutility of effort. He can get other jobs paying $90,000, and his disutility for exerting the extra effort for good supervision on your project is $100,000. (a) Show that inducing high effort would require the firm to offer a compensation scheme with a negative base salary; that is, if the project fails, the manager pays the firm an amount stipulated in the scheme. (b) How might a negative base salary be implemented in reality? (c) Show that if a negative base salary is not feasible, then the firm does better to settle for the low-pay, low-effort situation.
You have a net worth of $901395 and a utility function given by u(w) = w0.5. If your house %3! catches fire, a 3% likelihood of occurring, you expect it to be total loss and it was recently assessed at $792999. What is the risk premium ($) you'd be willing to pay for full coverage against this fire risk? Hints: Compute the certainty equivalent (CEQ) as you did in Comm 220 and recall that the risk premia is the amount you'd be willing to pay over the expected loss Answer:
David is an expected-utility maximizer that likes to drive fast (and reckless at times), so his probability of an accident is 2/3. David's preferences over wealth are u(w) = vw. Suppose that David's initial wealth is $100. If David has an accident, he incurs a $51 loss. How much is the risk premium David willing to pay to be as well off in case of accident or not?
An individual has a utility function U(W) = VW, where W is the level of wealth. They have been offered a gamble with a payout of £170 with a probability of 0.74 and a payout of £49.7 with a probability of 1-0.74. The Certainty Equivalent of this gamble is: Answer:
An investor has preferences represented by a utility function u(c) and initial wealth w > 0. Consider an asset that pays G with probability \pi and B with probability 1-\pi. 1.1 Suppose the investor owns this asset. What is the minimum price he would sell it for? (It is sufficient to formulate the condition that this price must satisfy). 1.2 Suppose he does not own it. What is the maximum price he would be willing to pay to buy it? (It is sufficient to formulate the condition that this price must satisfy). 1.3 Explain why (or under which conditions) the buy and sell prices you have found are or are not the same. 1.4 Suppose w = 10, G = 10, B = 5 and u(c) = √c. Compute the buy and sell prices.
Priyanka has an income of £90,000 and is a von Neumann-Morgenstern expected utility maximiser with von Neumann-Morgenstern utility index . There is a 1 % probability that there is flooding damage at her house. The repair of the damage would cost £80,000 which would reduce the income to £10,000. a) Would Priyanka be willing to spend £500 to purchase an insurance policy that would fully insure her against this loss? Explain. b) What would be the highest price (premium) that she would be willing to pay for an insurance policy that fully insures her against the flooding damage?

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