Mike has the utility of wealth curve shown in the figure below. He owns a car worth $20,000, and that is his only wealth
Posted: Thu May 19, 2022 7:29 am
Mike has the utility of wealth curve shown in the figure below.
He owns a car worth $20,000, and that is his only wealth. There is
a 10 percent chance that Mike will have an accident within a year.
If he does have an accident, his car is worthless.
(a) What is Mike's expected utility? (5
marks)
(b) What is the maximum amount that Mike is willing to pay for
auto insurance? (5 marks)
(c) Suppose all car owners are like Mike insofar as they have a
10 percent chance of having an accident. An insurance company
agrees to pay each person who has an accident the full value of his
or her car. The company's operating expenses are $1,000. What is
the minimum insurance premium that the company is willing to
accept?
(d) Will Mike buy the company's policy? Why or why not?
(5 marks)
Section A: Answer ALL THREE questions 1. Mike has the utility of wealth curve shown in the figure below. He owns a car worth $20,000, and that is his only wealth. There is a 10 percent chance that Mike will have an accident within a year. If he does have an accident, his car is worthless. 9,00 Total utility (units) 80 60 40 20 0 4 8 12 16 20 Wealth (thousands of dollars) 1 (Question 1 continued overleaf) EC1060 (a) What is Mike's expected utility? (5 marks) (b) What is the maximum amount that Mike is willing to pay for auto insurance? (5 marks) Suppose all car owners are like Mike insofar as they have a 10 percent chance of having an accident. An insurance company agrees to pay each person who has an accident the full value of his or her car. The company's operating expenses are $1,000. What is the minimum insurance premium that the company is willing to accept? (5 marks) (d) Will Mike buy the company's policy? Why or why not? (5 marks)
He owns a car worth $20,000, and that is his only wealth. There is
a 10 percent chance that Mike will have an accident within a year.
If he does have an accident, his car is worthless.
(a) What is Mike's expected utility? (5
marks)
(b) What is the maximum amount that Mike is willing to pay for
auto insurance? (5 marks)
(c) Suppose all car owners are like Mike insofar as they have a
10 percent chance of having an accident. An insurance company
agrees to pay each person who has an accident the full value of his
or her car. The company's operating expenses are $1,000. What is
the minimum insurance premium that the company is willing to
accept?
(d) Will Mike buy the company's policy? Why or why not?
(5 marks)
Section A: Answer ALL THREE questions 1. Mike has the utility of wealth curve shown in the figure below. He owns a car worth $20,000, and that is his only wealth. There is a 10 percent chance that Mike will have an accident within a year. If he does have an accident, his car is worthless. 9,00 Total utility (units) 80 60 40 20 0 4 8 12 16 20 Wealth (thousands of dollars) 1 (Question 1 continued overleaf) EC1060 (a) What is Mike's expected utility? (5 marks) (b) What is the maximum amount that Mike is willing to pay for auto insurance? (5 marks) Suppose all car owners are like Mike insofar as they have a 10 percent chance of having an accident. An insurance company agrees to pay each person who has an accident the full value of his or her car. The company's operating expenses are $1,000. What is the minimum insurance premium that the company is willing to accept? (5 marks) (d) Will Mike buy the company's policy? Why or why not? (5 marks)