a
Choosing of Gamble A or B
a
Answer to Problem 17.9P
P will choose Gamble B.
Explanation of Solution
Given Information:
Reference point = $10000
Gain = 1 util per dollar
Loss = 2 util per dollar
Given the initial reference point of $10,000 and utility function of P, P will choose that gamble which gives him the highest expected utility (EU).
Since
Introduction:
Expected utility is the satisfaction which will be achieved after consumption of certain goods and services. It is estimated utility.
b)
Chosing between Gamble C or D.
b)
Answer to Problem 17.9P
P will choose Gamble C.
Explanation of Solution
Given Information:
Starting bonus = $100
Offer given by gamble Con winning is $150 and on losing is $200
Gamble D loss = $70
If $100 bonus is included along with the initial worth of $10,000, then the initial reference point for P will be $10,000.Given the utility function of P, P will choose that gamble which gives him the highest expected utility (EU).
Since,
If $100 bonus is considered as a winning amount which P will get from the gambles, then his initial reference point becomes $10,000. In this case
Since
Introduction:
Expected utility is the satisfaction which will be achieved after consumption of certain goods and services. It is estimated utility.
c)
Whether choice made by P are same for choosing gamble.
c)
Answer to Problem 17.9P
P will prefer Gamble A over Gamble B and in the second scenario his preference remains the same, that is, he prefers Gamble C over Gamble D.
Explanation of Solution
Given Information:
Reference point = $10000
Gain = 1 util per dollar
Loss = 2 util per dollar
No, P choice would not be the same in the first scenario if he would have based his choice on final wealth level (EV) which he will get from gamble. However, his preference will remain the same in the second scenario. Let us see
Thus, it is seen that in the first scenario, P will prefer Gamble A over Gamble B and in the second scenario his preference remains the same, that is, he prefers Gamble C over Gamble D.
Introduction:
Expected utility is the satisfaction which will be achieved after consumption of certain goods and services. It is estimated utility.
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Chapter 17 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
- Suppose a person chooses to play a gamble that is free to play. In this gamble, they have a 10% chance of $100.00, and a 90% chance of nothing. Their utility function is represented in the following equation: U=W 1/2 where W is equal to the amount of "winnings" (or the income). Suppose now Brown Insurance Company offers the person the option of purchasing insurance to insure they will win the $100. What is the minimum amount Brown Insurance would charge you to insure your win? 0.90 O. 99 01 O 10arrow_forwardJacob is considering buying hurricane insurance. Currently, without insurance, he has a wealth of $80,000. A hurricane ripping through his home will reduce his wealth by $60,000. The chance of this happening is 1%. An insurance company will offer to compensate Jacob for 80% of the damage that any tornado imposes, provided he pays a premium. Jacob’s utility function for wealth is given by U(w) = In (w). (A) What is the maximum amount Jacob is willing to pay for this insurance? Show work and explain.arrow_forwardYou are trying to decide between rescuing a puppy or an older dog. You decide to try to assign some numbers to your preferences so you can compare options. You estimate that your utility for a dog that will chew your furniture is 0.1 and your utility for a dog that can go on hikes with you is 0.8. You expect that a puppy will have an 70% chance of chewing your belongings and a 90% chance of going on hikes. What is your expected utility for getting the puppy?arrow_forward
- Suppose Jessica has two choices: receive $12000 and 30 utils or take a gamble that has a 55% chance of a $20000 and 45 utils, and a 45% chance of a $0 payoff and zero utility. Assuming Jessica is a utility maximizer, what will she likely choose? a) Jessica will not take the gamble b) Jessica will take the gamble c) It cannot be determined d) Jessica is indifferentarrow_forwardJohn is a farmer with $225 of wealth. He can either plant corn or beans. If he plants corn, John earns an income of $675 if the weather is GOOD and $0 if the weather is BAD. If he plants beans, John earns an income of $451 under both GOOD and BAD weather. The probability of GOOD weather is 0.7. The probability of BAD weather is 0.3. John's utility function is u(C) = 5VC , where C is the value of consumption. Use this information to fill out the table below. (Don't forget to include the value of wealth when you compute consumption!). The PDF will round all typed numbers to two decimals; However, you should use all decimals when computing your answers. %3D Plant Corn Plant Beans Expected value of consumption Expected value of utility Certainty Equivalent Risk Premium 9. What type of risk preferences does John have? Mae owns an insurance company in a nearby town and has decided to offer conventional crop insurance to corn farmers in the area. Assume that Mae has perfect information and…arrow_forwardJohn is a farmer with $225 of wealth. He can either plant corn or beans. If he plants corn, John earns an income of $675 if the weather is GOOD and $0 if the weather is BAD. If he plants beans, John earns an income of $451 under both GOOD and BAD weather. The probability of GOOD weather is 0.7. The probability of BAD weather is 0.3. John’s utility function is U(c) = 5√c , where c is the value of consumption. Mae owns an insurance company in a nearby town and has decided to offer conventional crop insurance to corn farmers in the area. Assume that Mae has perfect information and can write and enforce an insurance contract that requires the farmer to plant corn. Here’s how the insurance contract works. At the beginning of the year, the corn farmer pays an insurance premium of $202.5. If the weather is GOOD, Mae makes no payment to the farmer. If the weather is BAD, Mae makes an indemnity payment of $675 to the farmer. a. If a farmer buys this insurance contract,what is Mae’s expected…arrow_forward
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