)Suppose a driver has a 6% of having one accident a year. In case of an accident the value of the car is reduced from $25,000 to $5,000. If driver buys an insurance policy the insurance company would completely cover damage to the car (essentially restoring its value to its initial level). Assume that the driver's utility function is U = VW. a) If price of the insurance policy (premium) is $1500, would this driver be willing to purchase the policy? Explain Show you computations %3D b) What would be the maximum price a driver with 10% chance of accident be willing to pay for the insurance policy?

)Suppose a driver has a 6% of having one accident a year. In case of an accident the value of the car is reduced from $25,000 to $5,000. If driver buys an insurance policy the insurance company would completely cover damage to the car (essentially restoring its value to its initial level). Assume that the driver's utility function is U = VW. a) If price of the insurance policy (premium) is $1500, would this driver be willing to purchase the policy? Explain Show you computations %3D b) What would be the maximum price a driver with 10% chance of accident be willing to pay for the insurance policy?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.4P

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View image and please calculate for first funciton.
2. Suppose that a farmer usually makes profit of $120,000 per year. Let's say that there is a 2% chance that a tornado will hit the farm. This would strongly hurt farmer's profit, leading to losses of $96,000 with 2% probability. a. What is the actuarially fair insurance? b. Assume that the farmer utility is given by u = T 0.5 where t represents profit. What is the farmer's expected utility with no insurance? c. How much would the farmer be willing to pay to have insurance? d. Assume that the farmer expects that the tornado's effect to your farm is lower, only leading to losses of $70,000. i. What is the actuarially fair insurance? ii. What is the farmer's expected utility with no insurance? iii. How much would the farmer be willing to pay to have insurance? iv. What is the risk premium?
7. Consider an individual whose utility function over money is u(w) = 1+2w. (a) Is the individual risk-averse, risk-neutral, or risk-loving? Does it depend on w? (b) Suppose the individual has initial wealth ¥W and faces the possible loss of Y. The probability that the loss will occur is . Suppose insurance is available at price p, where p is not necessarily the fair price. Find the optimal amount of insurance the individual should buy. You may assume that the solution is interior. (c) Is there a price at which the individual will not want to buy any insurance? If so, find it. If no, explain.
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Question 18 A decision maker is risk averse with current wealth equal to $90,000 and the utility functionu = w2. An accident can occur with probability .2 and damages due to the accident are $27,500. Answer each of the following questions. a. If a premium of $5500 for full insurance coverage were offered to the decision maker, then the decision maker would take the offer b. The maximum premium that the decision maker would pay for full coverage is $5900 c. Suppose that the insurance company has transactions costs. Then at a premium of $5500, the insurance company will break even
Answer this , i vll definitely upvote...it is urgent
A5
Question 1: Using Figure 11.1, illustrate the probability that someone will obtain insurance for treatment for: (a) a hangnail; (b) a broken arm; (c) a bad hair day; (d) viral meningitis
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A6