The shape of your utility function implies that you are a risk-averse v individual, and, therefore, you would not accept the wager becausev the difference between A and C.the difference in utility between B and A isless thanWhich of the following best explain why the pain of losing $2,000 exceeds the pleasure of winning $2,000 for risk-averse people? Check all that apply.The more wealth that risk-averse people have, the more satisfaction they receive from an additional dollar.O The utility function of a risk-averse person exhibits the law of diminishing marginal utility.Risk-averse people are relatively poor and cannot afford to lose any money.O The more wealth that risk-averse people have, the less satisfaction they receive from an additional dollar. UTIITY (Units of utility)10Suppose your friend Deborah offers you the following bet: She will flip a coin and pay you $2,000 if it lands heads up and collect $2,000 from you if itlands tails up. Currently, your level of wealth is $6,000. The graph shows your utility function from wealth. Use the graph to answer the followingquestions.1009080B70A605040302010WEALTH (Thousands of dollars)

Being "risk averse" refers to a preference for avoiding or minimizing risks. A risk-averse…

Answered: accept the wager because The shape of…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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5. In economics, an index of risk aversion is defined as: -U" (m) U'(m) I (m) where m measures how much of a commodity is owned and U(m) is a utility function. Find the index of aversion, I(m), for both utility functions U₁(m) = √m and U,(m) = m5/8, and determine which indicates a greater aversion to risk.
Please answer everything in the photo. Last question is asking if members of the population prefer or do not prefer to pay.
View image and calculate for second funciton.
1. Show if the following utility functions represent risk averse, risk neutral or risk loving preferences. u(c) = 10° + 3 u(c) = C2 + 3C i. ii. ii. u(c) = e4C iv. u(c) = 1 – e-C
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. Which of the following statements is true? a. There are risk averse expected utility maximisers who would prefer Janet's idea to Sam's idea. b. Any expected utility maximiser whose utility is a strictly increasing function of wealth would prefer Sam's idea to Janet's idea. c. Any risk averse expected utility maximiser would prefer Sam's idea to Janet's idea.…
3. In the second example, we will consider the case where the insurance contract involves a deductible this is an amount which is deducted from the final pay-out of the insurance firm in the case of a loss. In other words, the consumer bears this part of the loss herself. For this problem, assume a risk-averse, expected utility maximizing consumer with initial wealth wo who faces a potential loss of size L which will occur with probability p. Her utility-of-final-wealth function is denoted by u(.). Suppose that the consumer can purchase insurance coverage of C > 0 units of wealth from a perfectly competitive insurance firm at a premium of 7 per unit of coverage, but that the firm charges an additive deductible: if C units of insurance is purchased, the insurance firm pays out (C – d) if the loss occurs, where d 20 is a fixed amount independent of C. (a). For this problem, state the consumer's expected utility function. (b). Set up the consumer's utility maximization problem and find…
4) Luke is planning an around-the-world trip on which he plans to spend $10,000. The utility from the trip is a function of how much she spends on it (Y ), given by U(Y) = InY a). If there is a 25 percent probability that Luke will lose $1000 of his cash on the trip, what is the trip's expected utility. b). Suppose that Luke can buy insurance to fully against losing the $1,000 with a actuarially fair insurance. What is his expected utility if he purchase this insurance. Will he purchase the insurance? c). Now suppose utility function is U(Y) = Y/1000 What is his expected utility if he purchase the insurance in b). Will he purchase the insurance?
Suppose that Natasha's utility function is given by u(I) = √/10/, where I represents annual income in thousands of dollars. Is Natasha risk loving, risk neutral, or risk averse? Explain. A. She is risk averse because her utility function exhibits diminishing marginal utility. OB. She is risk loving because her utility function exhibits increasing marginal utility. OC. She is risk neutral because her utility function exhibits constant marginal utility. Suppose that Natasha is currently earning an income of $40,000 (1 = 40) and can earn that income next year with certainty. She is offered a chance to take a new job that offers a 0.6 probability of earning $44,000 and a 0.4 probability of earning $33,000. Should she take the new job? Natasha should not take the new job because her expected utility of 19.85 is less than her current utility. (Round expected utility to three decimal places.)
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Suppose that 20 risk neutral competitors participate in a rent seeking game with a fixed prize of $500. Each player may invest as much money as he wishes in the political contest. The probability of winning is directly proportional to the candidate's share of the total rent-seeking investment. 1. What is the expected net benefit of a player if all other players invest $20 each? Write the net benefit as a function of the player's investment. 2. Solve the maximization problem to arrive at the profit-maximizing investment. Round to the nearest cent.

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