Mike's expected utility. (b) What is the maximum amount that Mike is willing to pay for auto insurar (c) Suppose all car owners are like Mike insofar as they have a 10 percent ch having an accident. An insurance company agrees to pay each person wh accident the full value of his or her car. The company's operating expens $1,000. What is the minimum insurance premium that the company is w accept?

Billy's income Is equal to / = 100 and his utility function is U = [?. There is a 10% chance that he will be in an accident next year with his skateboard that will cause $70 worth of damage. Get the risk premium for Billy. b. An Insurance company offers a policy that will cover all the damages if an accident occurs Calculate the fair price for the insurance. %3D a.

4) Luke is planning an around-the-world trip on which he plans to spend $10,000. The utility from the trip is a function of how much she spends on it (Y ), given by U(Y) = InY a). If there is a 25 percent probability that Luke will lose $1000 of his cash on the trip, what is the trip's expected utility. b). Suppose that Luke can buy insurance to fully against losing the $1,000 with a actuarially fair insurance. What is his expected utility if he purchase this insurance. Will he purchase the insurance? c). Now suppose utility function is U(Y) = Y/1000 What is his expected utility if he purchase the insurance in b). Will he purchase the insurance?

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.

1. A person with U(w) = w² is facing the following lottery: there are four tickets sold, or which only one wins the prize of $100. a. Calculate the expected value of the lottery. b. Calculate the certainty equivalent. c. Comparing parts (a) and (b), what is this person's risk preference and why?

Individuals will prefer to fully insure against a potential adverse event if A. individuals are risk-loving and insurance is priced at an actuarially fair rate. B. individuals are risk-averse and insurance is priced at an actuarially fair rate. C. individuals are risk-loving and insurance is priced above the actuarially fair rate. D. individuals are risk-averse and insurance is priced above the actuarially fair rate.

Explain all option ......you will not explain all option then I will give you down upvote..

Any risk-averse individual would always (Select all that applies) a) take a 30% chance at $100 rather than a sure $20. b) take a sure $20 rather than a 30% chance at $100. c) take a sure $2 rather than a 50% chance at $5 and a 50% chance at losing $1. d) take a 50% chance at $5 and a 50% chance at losing $1 rather than a sure $1.

A. From the graph below explain how an insurance plan which provides the buyer a $15,000 wealth level, regardless of any uncertain event, is a good deal for the buyer? In other words, what does the distance between points D’ and C’ represent? Note we are referring to D prime, not D.   B. Considering the graph below, can you explain the difference between expected utility and certainty utility?

17. Suppose a risk-neutral power plant needs 10,000 tons of coal for its operations next month. It is uncertain about the future price of coal. Today it sells for $60 a ton but next month it could be $50 or $70 (with equal probability). How much would the power plant be willing to pay today for an option to buy a ton of coal next month at today's price? (Ignore discounting over the short period of a month.) а. 5 b. 4 с. 3 d. NOTE: I KNOW THAT THE ANSWER IS (A), BUT PLEASE INCLUDE ALL THE STEPS HOW TO SOLVE THE PROBLEM BECAUSE I NEED TO PRACTICE. THANK YOU.