The utility function shows the relationship between income and utility. The shape of the utility function shows if the consumer is risk-taker or risk-averse.
If a utility function is convex, then the consumer is a risk lover. On the other hand, if the shape of utility is concave, the consumer is risk-averse and he is not ready to take up an option where income would be uncertain.
Straight-line of utility function shows that consumer is risk-neutral.
Explain how the shape of the expected utility function describes the consumers attitude to risk
Calwlate Expected utility (ECU (w) and the utility of expected value (CEV) for a) U (w)=51n(w), state the relationship and classity the risk attitude; b) u (w)=562, state the relationship and classify to risk attitude, c) U (w) = 250-w, state the relationship and classity & risk attitude, A gamble bassed on fair coin toss which pays $250 if the coin lands and $20 it the coin lands tail (fair coin toss i e. probabity of heads is 50%= probability...
Suppose, as usual, Elmos utility function over gambles satisfies the expected utility property. Consider two gambles g and h such that E[g] > E[h]. (a) Suppose Elmo is risk-averse. Will Elmo necessarily prefer g to h? Explain. (b) What if Elmo is risk-neutral? Explain. (c) What if Elmo is risk-loving? Explain.
If so, ind it. I no, explain. 7. Suppose, as usual, Elmos utility function over gambles satisfies the expected utility property. Consider two gambles g and h such that E[g]> E[h]. (a) Suppose Elmo is risk-averse. Will Elmo necessarily prefer g to h? Explain. (b) What if Elmo is risk-neutral? Explain. (c) What if Elmo is risk-loving? Explain. QA
Donna and Jim are two consumers purchasing strawberries and chocolate. Jim’s utility function is U(x,y) = xy and Donna’s utility function is U(x,y) = x2y where x is strawberries and y is chocolate. Jim’s marginal utility functions are MUX=y and MUy=x while Donna’s are MUX=2xy and MUy=x2. Jim’s income is $100, and Donna’s income is $150. Are strawberries a normal good or an inferior good for Jim? Explain your answer.
In attempting to quantify its attitude toward risk, top management of the pharmaceutical company has reported certainty equivalent values for a variety of 50-50 risks. These are summarized in the following table. Outcome of 50-50 Risk $200 and $o $200 and $50 $50 and S0 $200 and $112 $112 and $50 $50 and $13 $112 and $13 Certainty Equivalent $ 50 112 13 153 70 28 50 the company's CE for a 50-50 risk between $200 million and $0 is...
1. Which of the following statements best describes the law of diminishing marginal utility? Consumers will purchase more of a good at a lower price, ceteris paribus. Consumers maximize total utility when the marginal utility per dollar spent is equal for all goods consumed. Each successive unit of a good consumed yields less additional utility. Consumers behave rationally when the price of a good equals the marginal utility of the good. 2. Assume the price elasticity of demand for Nike...
Describe, using first and second derivatives, her attitude toward risk? Briefly explain. She is currently earning 10% on her £200,000 in a risk free investment. She has the choice of investing in a project that has a 40% probability of yielding a return of £30,000 return on her investment and a 60% probability of yielding $10,000 return on her investment. Will she be better off if she moved her £200,000 to the risky project? Explain. QUESTION ONE a) A retired...
Question 8: Consider a decision-maker with utility function u(x) = x^0.8 , where x>0 denotes the decision-maker’s wealth. a. Determine the decision-maker’s attitude towards risk. In other words, is this decision-maker risk-neutral, risk-averse or risk-loving? Provide a justification of your answer. Solution: We have ?''(x) = -0.16x^-1.2 <0 . Hence, the decision-maker is risk-averse. Please explain solution. How did he get the answer?
2. Risk Premium a. Suppose the utility function is given by the equation ?(?) = ln(? + 1). Graph utility at the points $0, $80, $100. b. Suppose there is a lottery where you win $100 with 20% chance, $80 with 30% chance, and $0 with 50% chance. What is the expected winnings (in dollars)? What is the expected utility (in utils)? Add this point to the graph. c. What is the utility at the expected dollar winnings (i.e., what...
Explain the hedonic pricing model of job risk. As part of your discussion, explain the shape of workers' indifference curves, isoprofit curves, and the hedonic wage function