QUESTION 1An expected utility maximiser owns a car worth £60 000 and has a bank account with £20 000. The money in the bank issafe, but there is a 50% probability that the car will be stolen. The utility of wealth for the agent is u(y) = In(y) and theyhave no other assets.QUESTION 2Consider the setup from Question 1. A risk-neutral insurance company is willing to insure the car at the premium of£2/3 for every one pound of coverage.QUESTION 3Consider the setup from Questions 1 and 2. How much profits, in expectation, does the insurance company earn oninsuring the individual? Consider the setup from Questions 1-3. Suppose that the firm is not charging the agent per unit of indemnity. Instead, itcan propose to give the agent the total wealth x1 in the 'good state' and the total wealth x2 in the 'bad state' in return forthe agents entire wealth W= 60 000 + 2000080 000 and W – L80 000 – 60 000 = 20000, respectively.Below, we shall refer to the pair (x1, x2) as a contract.Given the coverage chosen by the individual in Question 2, which of the following statements is correct?а.There is a contract that is preferable to the outcome selected in Question 2 for both by the consumer and thefirm.b. There is NO contract that is preferable to the outcome selected in Question 2 for both the consumer and the firm.c. Any contract that the agent would be willing to accept must be equal to the outcome selected in Question 2.d. Any contract that the agent would be willing to accept must be Pareto efficient.

DISCLAIMER “Since you have asked multiple question, we will solve the first question for you. If…

expected utility maximiser owns a car worth £60 000 and has a bank account with £20 000. Them , but there is a 50% probability that the car will be stolen. The utility of wealth for the agent is u(y) e no other assets. ESTION 2 sider the setup from Question 1. A risk-neutral insurance company is willing to insure the car at the = £2/3 for every one pound of coverage. ESTION 3

expected utility maximiser owns a car worth £60 000 and has a bank account with £20 000. Them , but there is a 50% probability that the car will be stolen. The utility of wealth for the agent is u(y) e no other assets. ESTION 2 sider the setup from Question 1. A risk-neutral insurance company is willing to insure the car at the = £2/3 for every one pound of coverage. ESTION 3

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter17: Making Decisions With Uncertainty

Section: Chapter Questions

Problem 4MC

See similar textbooks

Similar questions

Suppose that there are two types of workers: high and low. Employers cannot distinguish between different types during an interview. Employers value high type at $200,000 and low type at $100,000. Employers are in a competitive market (i.e. zero profit applies). High type workers have a reservation wage of 140,000 and low type workers have a reservation wage of 80,000. Suppose that 50% of all workers are high type. The productivities, reservation wages, and the probabilities are common knowledge). What wage would the employers offer? Please explain the solution!
Question 2An investor is to purchase one of three types of real estate, as illustrated inFigure below. The investor must decide among an apartment building, anoffice building, and a warehouse. The future states of nature that willdetermine how much profit the investor will make are good economicconditions and poor economic conditions. The profits that will result fromeach decision in the event of each state of nature are shown in Table below: Assume that it is now possible to estimate a probability of 0.60 that goodeconomic conditions will exist and a probability of .40 that poor economicconditions will exist. a) Determine the best decision by using expected opportunity loss. b) Develop a decision tree, with expected values at the probability nodes. c) Compute the expected value of perfect information.
An individual has a utility function U(W)= √w. where W is the level of wealth.They have been offered a gamble with a payout of 100 with a probability of 0.31 and a payout of ￡35 with a probabiity of 1-031.The Certainty Equivalent of this gamble is:
Farmer Brown faces a 25% chance of there being a year with prolongeddrought, with zero yields and zero profit, and he faces a 75% chance of a normal year, with good yields and$100,000 profit. These probabilities are well-known. Suppose that an insurance company offered a droughtinsurance policy that pays the farmer $100,000 if a prolonged drought occurs. Assume that the farmer’sutility function is u(c) = ln(c). He has initial wealth of $40,000. What is the economic intuition on why X > Y? Confine your answer to at most three sentences.
Your employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…
Your employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…
JUST ANSWER SUBPART 1 There are two individuals, Individual A and Individual B. Individual A has an income (Y) of 500 million Rupiah per year. If Individual A is sick, he will lose 25% of his income. Meanwhile, Individual B has an income (Y) of 100 million Rupiah per year, and if Individual B is sick, he will lose 75% of his income. The probability of Individual A and Individual B being sick is the same, which is 10%. If the satisfaction level of Individual A and Individual B is determined by their income level, based on the following function U(Y)=ln Y, would Individual A and Individual B prefer not to have health insurance? Explain Faced with fair actuarially insurance, how much premium is offered to Individual A? Is the premium rate offered the same for Individual B? Explain with the support of graphic illustrations. The government decides to provide compulsory health insurance with a premium rate for Individual A and Individual B, which is 2% of the income of each individual. In…
Mf. Mean variance utility defines risk using certainty equivalent wealth. The lower the certainty equivalent wealth, the lower the mean variance utility. uestion Select one: O True O False Under constant relative risk aversion, the lower the certainty equivalent wealth is than the average wealth of a lottery the riskier the lottery. Select one: O True O False Given a normally distributed risky asset and a risk free asset, a person with a lower CRRA risk aversion coefficient will put less in the risk free asset than a person with a higher CRRA risk aversion. Select one: O True O False Greater risk aversion means a plot of utility vs. wealth would look less curved. Select one: O True O False The greater the wealth, the less the utility of the next dollar of wealth. Select one: O True O False People don't like risk because it means they get poorer when they're poorer and richer when they're rich. In fact, a financial security…
"Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,480,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $203,000 is 0.27. The probability of a medium box office of $1,660,000 is 0.49, and the probability of a large box office of $2,950,000 is 0.24.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $20,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.75 probability the critic will have a favorable opinion.If the movie will have a medium…
"Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,460,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $210,000 is 0.27. The probability of a medium box office of $1,530,000 is 0.64, and the probability of a large box office of $3,190,000 is 0.09.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $21,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.61 probability the critic will have a favorable opinion.If the movie will have a medium…
1 Question 2. Suppose that there is one risk free asset with return rf and one risky asset with normally distributed returns, r ∼ N(µ, σ2). The investor has an expected utility maximizer with the CARA utility u(r) = −e −Ar. Write down the investor’s maximization problem of choosing α fraction of his wealth will be invested in the risky asset Find the optimal fraction of wealth that the investor will invest in the risky asset α∗Hint: Use the fact that if a random variable x is distributed normally with mean µx and variance σ2x , then for any constant α, What happens to the optimal fraction of wealth that the investor will invest in the risky asset as the risk aversion A increases? Explain the intuition behind your result.
A few minutes ago, Joe Doe learned that his company was having a bad year and thus merit salary increases will be smaller than expected. His division’s budget has been set and so he knows that he will receive a salary increase of $400 over his present salary. Joe Doe has also been offered a transfer to another division in the company. He is unsure of the salary situation in the other division. However, his best information leads him to conclude that if he took the new job, there is a 60% chance that he would receive a salary increase of $600 over his present salary, and a 40% chance that he would receive only a $150 increase over his present salary. To summarize, Joe Doe can either stick with his current job and get a salary increase of $400, or take a transfer to a new job and get a salary increase of either $600 with a 60% probability, or $150 with a 40% probability. Amount ($X) Value (v($X)) $0 -5 $150 -2.5 $200 -2 $300 0 $350 0.5 $400 1 $600 1.85…