Suppose Lesley is deciding on career paths. She could choose career A, which earns $50,000 per year and has a 10% chance of layoff each year, or career B, which earns 80,000 per year and has a 30% chance of layoff each year. When laid off, she earns 0. Suppose her utility over annual earnings is equal to U(E) = VE (a) What would be her preferred job if she had to choose one or the other? If she could allocate her time to both jobs (e.g., could spend 90% of time in job A and 10% in job B) what would be her ideal allocation of time between jobs?
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- Many police officer positions require the applicant to have a college degree, even though the tasks of a police officer rarely call upon college course material. Suppose two individuals who do not have college degrees are considering applying to the police force. Ginny is considering applying for an officer position and plans on working for the police force for a period of time, over which she would earn approximately $500,000 (in present discounted value) in earnings while in the position. Kenji is also considering applying, and plans on working as an officer for a period of time, over which he would earn approximately $10,000 (in present discounted value) in lifetime earnings while in the position. Also suppose that present value of obtaining a college degree, which is required to submit a job application to the police department, is $100,000. Use the following table to indicate whether each individual would likely apply, or not, given the cost of obtaining a college degree.…Show that a decision maker who has a linear utilityfunction will rank two lotteries according to their expectedvalue.The dollar amount that a manager would be just willing to trade for the opportunity to engage in a risky decision is known as , Multiple Choice marginal utility of profit. the certainty equivalent. expected utility of profit. opportunity cost.
- Suppose an individual is looking to build a house in a plain that is prone to flooding. Because of the risk of damage due to flooding, the buyer's top dollar for building the house is only $290,000. Suppose the cost of building a house in this area is $330,000. A wealth-creating transaction is not possible since the seller's bottom line (or the cost of building the house) is (LESS THAN, EQUAL TO, GREATER THAN) the buyer's top dollar. The difference between the cost of building the house minus the buyer's top dollar is $_______. Suppose the government subsidizes flood insurance for homes in the flood plain. Because of this, the buyer has access to very cheap insurance, worth an expected $70,000. Without such a subsidy, the high likelihood of flood results in extremely high rates for flood insurance. With this subsidy, the individual (IS, IS NOT) incentivized to build a house in the flood plain..Scenario 2 Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c). Tess and Lex both have the utility function ( sqrt c) . Both could experience an adverse event that results in earnings of $0 per year. Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event. Tess and Lex are both aware of their risk of an adverse event. Refer to Scenario 2 Calculate Lex’s and Tess' expected utilities without insurance. (each one separated) Round to two decimal places for bothU(W) in an appropriate utility function, where W is the level of wealth. Which of the following is TRUE for a risk-loving investor? Select one: A. U[E(W)] < E[U(W)] B. U[E(W)] > E[U(W)] C. U[E(W)] = E[U(W)] = 0 D. U[E(W)] = E[U(W)]
- Suppose that you have two opportunities to invest $1M. The first will increase the amount invested by 50% with a probability of 0.6 or decrease it with a probability of 0.4. The second will increase it by 5% for certain. You wish to split the $1M between the two opportunities. Let x be the amount invested in the first opportunity with (1-x) invested in the second. Find the optimal value of x. Using expected value as the criterion (linear utility) Using the flowing utility function: u(x)=2.3 ln〖(1+4.5x)Using the exponential utility function with α = 0.001, determine which premium is higher: the one for X ∼ N(200,√5000) or the one for y ∼ N(210,√3000) Determine for which values of α the former premium is higher.Victoria founded a start-up several years ago, together with her Macedonian friends. At first, she was fairly poor and therefore very afraid of taking risks. Any negative shock could send the company into bankruptcy. Nowadays her business is thriving, stretching across several markets from Europe to Asia. Victoria no longer worries about taking monetary risks. In fact she enjoys a good gamble over horse races from time to time. How would you draw Victoria's utility function in a way that describes her changing taste for risk as her wealth increased? Please draw a graph and comment. Please do fast ASAP fast
- Suppose a company is hiring graduates from Harvard and Yale and they want to hire people with very high predicted productivity. All they use to predict productivity is where they went to school and their GPA. There is no difference in average true ability between students at Harvard and Yale. However, while Yale GPAs are excellent predictors of performance at this company, Harvard GPAs are not. The company hires very few graduates and the cutoff for expected productivity is well above average. What will be true about the GPA cutoffs for the two schools? A. The cutoff for Harvard will be higher.B. The cutoff for Yale will be higher.C. The cutoffs will be the same.D. There is not enough information to answer this question.Consider two individuals whose utility function over wealth I is ?(?) = √?. Both people face a 10 percent chance of getting sick, and foreach the total cost of illness equals $50,000. Suppose person A has a total net worth of $100,000, and person B has a total net worth of $1,000,000. Both people have the option to buy an actuarially fair insurance contract that would fully insure them against the cost of the illness. a. Using expected utility calculations, show that person A would certainly buy full, actuarially fair insurance. b. Suppose an insurance company wants to maximize profits and wants to charge each customer the maximum price they are willing to pay. How much should the insurance company charge each client so that both buy the contract? c. What is surprising about your result in part b? What does this tell you about how insurance companies may be pricing health insurance contracts in the real world?For constants a and b, 0 < b, b 1, and expected profit E(p), the expected utility function of a person who is risk-neutral can be written as E(U) = Which one: a+b^p a + (E(p))^b. a - bE(p). a + bE(p). a + (E(p))^(-b).