Health Economics
14th Edition
ISBN: 9781137029966
Author: Jay Bhattacharya
Publisher: SPRINGER NATURE CUSTOMER SERVICE
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Chapter 7, Problem 5E
To determine
Determine whether the given statement is true or false.
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A risk averse individual prefers a certain outcome to an uncertain outcome
with the same expected income.
True
False
A risk averse individual will always choose the safe but less profitable activity instead of the riskier but more profitable activity.
True or False
could you answer part b to this question or if you have time part a and part b but part is more important. thank you
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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- Describe and use techniques that apply to decision making under uncertainty.arrow_forward9. Problems and Applications Q9 Dmitri has a utility function U = W, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. In the final stage of a game show, the host offers Dmitri a choice between (A) $4 million for sure, or (B) a gamble that pays $1 million with probability 0.4 and $9 million with probability 0.6. Use the blue curve (circle points) to graph Dmitri's utility function at wealth levels of $0, $1 million, $4 million, $9 million, and $16 million. Utility (Thousands) 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0 2 4 8 6 10 12 14 Wealth (Millions of dollars) 16 18 20 V Utility Function ?arrow_forwardYuri owns just one ship, he calls it Previt. The ship is worth $25 million dollars. If the ship sinks, Yuri loses $25 million. The probability that it will sink is .02. Yuri's total wealth, including the value of the ship is $50 million. He is an expected utility maximizer with utility U(W) equal to W?. What is the maximum amount that Yuri would be willing to pay in order to be fully insured against the risk of losing his ship? a. $4 million b. $ 1.96 million c. $ 0.39 million d. $ 3.9 million e. $ 5.96 million f. None of the above, the right answer is:arrow_forward
- A risk-averse manager is considering a project that will cost £100. There is a 10 percent chance the project will generate revenues of £100, an 80 percent chance it will yield revenues of £50, and a 10 percent chance it will yield revenues of £500. Should the manager adopt the project? Explain. What will a risk-neutral and risk-loving manager do in the same situation?arrow_forwardLukas is a risk-averse farmer. He grows barley on his 1000 acre farm. In a typical year his farm yields 100 bushels of barley per acre. However, in a wet season, the farm only yields 40 bushels per acre. The probability of a typical season is 0.8 and of a wet season is 0.2. Regardless of the productivity of his farm, he expects to earn $3 per bushel (net of all costs of farming). Assume that Lukas has no other income. Write an expression for Lukas's expected utility.arrow_forwardMicroeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)arrow_forward
- Priyanka has an income of £90,000 and is a von Neumann-Morgenstern expected utility maximiser with von Neumann-Morgenstern utility index u(x) = square root x . 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? Explainarrow_forwardYou have a car valued at Gh60, 000. You estimate that there is a 0.1 percent chance that your car will be stolen. An insurance company offers you insurance against this eventuality for a premium of Gh800. If you are risk-neutral, should you buy insurance?arrow_forwardDescribe the difference between risk and uncertainty. Which one is more preferable and why?arrow_forward
- Questions 18 through 20 refer to the following information: Shawn's consumption is subject to risk. With probability 0.75 he will enjoy 10000 in consumption, but with probability 0.25 he will have only 3600. His utility function for consumption is given by v(c) = vc. Question 18 What is the expected value of Shawn's consumption? Question 19 What is his expected utility?arrow_forwardSuppose you have a house worth $200,000 (wealth). Your utility of wealth is given by U(w) = ln(w). There is a small chance that a fire will damage your house causing a loss of $75,000. You estimate there is a 2% chance of fire. a) What is your expected wealth? b) What is your expected utility from owning the house? c) Suppose you can add a fire detection/prevention system to your house. This would reduce the chance of a bad event to 0 but it would cost you $C to install. What is the most you are willing to pay for the security system? (Here is an identity you will find usefularrow_forwardDavid 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?arrow_forward
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