Question

In: Economics

Consider the following car insurance problem. A car accident occurs with probability 1/36. The loss from...

Consider the following car insurance problem. A car accident occurs with probability 1/36. The loss from the accident is $4,000. The price of the coverage is $150. Should a wealthy person purchase the coverage?

Solutions

Expert Solution

Probability of car accident = (1 / 36)

Loss from accident = 4,000

Expected loss from accident = Probability of car accident * Loss from accident = [(1/36) * 4,000] = 111.11

As price of coverage is more than expected loss from accident, wealthy purchase should not purchase the insurance.


Related Solutions

Consider the probability that exactly 95 out of 151 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 65%.
Consider the probability that exactly 95 out of 151 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 65%. Approximate the probability using the normal distribution. 
Consider the probability that less than 15 out of 156 people have been in a car accident. Assume the probability that a given person has been in a car accident is 13%.
Consider the probability that less than 15 out of 156 people have been in a car accident. Assume the probability that a given person has been in a car accident is 13%. Approximate the probability using the normal distribution. Round your answer to four decimal places. 
A car accident expert is assigned to a case where the insurance company suspects the car...
A car accident expert is assigned to a case where the insurance company suspects the car company to use lower quality steel (lower TS) than the standards in their bumpers. The expert is given a post-crash bumper to run his test on. Since the bumper is completely deformed, he cannot place it into the normal bumper tensile tester. He is thinking about running a hardness test on the deformed bumper to estimate the TS of the steel to test the...
An automobile insurance company has determined the accident rate​ (probability of having at least one accident...
An automobile insurance company has determined the accident rate​ (probability of having at least one accident during a​ year) for various age groups​ (see Table). Suppose that a policyholder calls in to report an accident. What is the probability that he or she is over​ 60?   over 60 - proportion of total insured .10 & accident rate =0.06 (erased on table and could not add it back on accident ) What is the the probability that he or she is...
You are in a car​ accident, and you receive an insurance settlement of ​$ 4000 per...
You are in a car​ accident, and you receive an insurance settlement of ​$ 4000 per year for the next three years. The first payment is to be received today. The second payment is to be received one year from​ today, and the third payment two years from today. If the interest rate is 4​%, the present value of the insurance settlement is ​$____ .​ (Round your response to the nearest two decimal​ place)
George has a car worth $10,000. With probability 0.05, George will have an accident and the...
George has a car worth $10,000. With probability 0.05, George will have an accident and the car will only be worth $6,000. If George has a utility function u(x) = x0.5, what price of insurance will make George just indifferent between taking out insurance and not taking insurance? (a.) 122 (b.) 224 (c.) 287 (d.) 301
A car insurance company has determined that 10% of drivers were involved in a car accident last year.
A car insurance company has determined that 10% of drivers were involved in a car accident last year. If 3 drivers are randomly selected, what is the probability of getting: a) one driver involved in a car accident last year? P(x = 1) = b) fewer than two drivers who were involved in a car accident last year? P(x2)= 
Suppose a $50,000 annual loss occurs randomly with a probability of one in one hundred. a....
Suppose a $50,000 annual loss occurs randomly with a probability of one in one hundred. a. What is the actuarially fair premium? If the insurance company charges $750 per person per year, what is the loading factor? b. Assume the insurance company has 100 people in the pool and the insurance company is charging $750 per person per year. If one person in the pool suffers from the loss, will the insurance company be able to pay for the loss?...
Consider the following information:    Rate of Return If State Occurs   State of Probability of   Economy...
Consider the following information:    Rate of Return If State Occurs   State of Probability of   Economy State of Economy Stock A Stock B Stock C   Boom .75 .08 .17 .24   Bust .25 .11 − .05 − .08    a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio...
Consider the following information:    Rate of Return if State Occurs State of Economy Probability of...
Consider the following information:    Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom 0.76 0.23 0.21 0.31 Bust 0.24 0.09 0.15 0.07    a. What is the expected return on an equally weighted portfolio of these three stocks?    b. What is the variance of a portfolio invested 10 percent each in A and B and 80 percent in C?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT