Suppose every driver faces a 1.5% probability of an automobile accident every year, and on an average an accident will cost each driver $10,000. Suppose there are two types of individuals: those with $50,000 and those with $6,000 in the bank. Assume that individuals with $6,000 in the bank declare bankruptcy if they get in an accident. In the bankruptcy, creditors receive only what individuals have in the bank. What is the expected loss from an accident for individuals with $6,000 in the bank if they don’t buy comprehensive insurance coverage? a. $50,000.00 b. $6,000.00 c. $150.00 d. $90.00
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Suppose every driver faces a 1.5% probability of an automobile accident every year, and on an average an accident will cost each driver $10,000. Suppose there are two types of individuals: those with $50,000 and those with $6,000 in the bank. Assume that individuals with $6,000 in the bank declare bankruptcy if they get in an accident. In the bankruptcy, creditors receive only what individuals have in the bank.
What is the expected loss from an accident for individuals with $6,000 in the bank if they don’t buy comprehensive insurance coverage?
a. |
$50,000.00 |
|
b. |
$6,000.00 |
|
c. |
$150.00 |
|
d. |
$90.00 |
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- An investor is considering three strategies for a $1,000 investment. The probable returns are estimated as follows: • Strategy 1: A profit of $10,000 with probability 0.15 and a loss of $1,000 with probability 0.85 • Strategy 2: A profit of $1,000 with probability 0.50, a profit of $500 with probability 0.30, and a loss of $500 with probability 0.20 • Strategy 3: A certain profit of $400 Which strategy has the highest expected profit? Explain why you would or would not advise the investor to adopt this strategy.Suppose that every driver faces a 1% probability of an automobile accident every year. An accident will, on average, cost each driver $15,000. Suppose there are two types of individuals: those with $90,000.00 in the bank and those with $3,000.00 in the bank. Assume that individuals with $3,000.00 in the bank declare bankruptcy if they get in an accident. In bankruptcy, creditors receive only what individuals have in the bank. Assume that both types of individuals are only slightly risk averse. In this scenario, the actuarially fair price of full insurance, in which all damages are paid by the insurance company, is . Assume that the price of insurance is set at the actuarially fair price. At this price, drivers with $3,000.00 in the bank likely buy insurance, and those with $90,000.00 in the bank likely buy insurance. (Hint: For each type of driver, compare the price of insurance to the expected cost without insurance.) Suppose a state law has been passed…Solve the following problem using an excel spreadsheet. A tobacco company isinterested in hiring a salesperson to promote smoking cigarettes in nightclubs. The position pays a flat salary of $50,000, regardless of sales levels. The firm has two applicants, Predictable Patty and Risky Ricky. Predictable Patty can produce with 100% certainty $100,000 a year in sales. Risky Ricky, on the other hand, can produce $300,000 with probability of 50%. But if he turns out to spend his time drinking and dancing in the nightclubs instead of making sales, he could actually cost the firm -$100,000 per year.a) During their first year on the job, what are the expected sales of Patty and Ricky? What are the firm’s expected profits on each worker?b) Now assume both workers are currently 25, and they will work until the retirement age of 65. The firm has the option to fire its new employee after one year based on sales, but can only hire one employee. Assume that it takes only one year to discover whether…
- Burger Prince Restaurant is considering the purchase of a $100,000 fire insurance policy. The fire statistics indicate that in a given year the probability of property damage in a fire is as follows: Fire Damage $100,000 $75,000 $50,000 $25,000 $10,000 $0 Probability .006 .002 .004 .003 .005 .980 If Burger Prince was risk neutral, how much would they be willing to pay for fire insurance? If Burger Prince has the utility values given below, approximately how much would they be willing to pay for fire insurance? Loss $100,000 $75,000 $50,000 $25,000 $10,000 $5,000 $0 Utility 0 30 60 85 95 99 100Gary likes to gamble. Donna offers to bet him $31 on the outcome of a boat race. If Gary’s boat wins, Donna would give him $31. If Gary’s boat does not win, Gary would give her $31. Gary’s utility function is p1x^21+p2x^22, where p1 and p2 are the probabilities of events 1 and 2 and where x1 and x2 are his wealth if events 1 and 2 occur respectively. Gary’s total wealth is currently only $80 and he believes that the probability that he will win the race is 0.3. Which of the following is correct? (please submit the number corresponding to the correct answer). Taking the bet would reduce his expected utility. Taking the bet would leave his expected utility unchanged. Taking the bet would increase his expected utility. There is not enough information to determine whether taking the bet would increase or decrease his expected utility. The information given in the problem is self-contradictory.Suppose that every driver faces a 2% probability of an automobile accident every year. An accident will, on average, cost each driver $14,000. Suppose there are two types of individuals: those with $112,000.00 in the bank and those with $3,500.00 in the bank. Assume that individuals with $3,500.00 in the bank declare bankruptcy if they get in an accident. In bankruptcy, creditors receive only what individuals have in the bank. Assume that both types of individuals are only slightly risk averse. In this scenario, the actuarially fair price of full insurance, in which all damages are paid by the insurance company, is . Assume that the price of insurance is set at the actuarially fair price. At this price, drivers with $112,000.00 in the bank likely buy insurance, and those with $3,500.00 in the bank likely buy insurance. (Hint: For each type of driver, compare the price of insurance to the expected cost without insurance.) Suppose a state law has been passed…
- The table below shows that a sales agent can work with either low, or high amount of effort. Low effort generates$30,000, $60,000 or $100,000 profit (with probability given below), while high effort generates 60,000; 100,000 or 150, 000 (with probability given below) depending on some random factors. Bad luck (P=0.3) Medium luck (P=0.3) Good luck (P=0.4) Low effort (a=0) $30,000 $60,000 $100,000 High effort (a=1) $60,000 $100,000 $150,000 The cost of low effort is 0 and the cost of high effort is $10,000 (Formally, c=$10,000a). The net wage is wage minus cost of effort and the net profit is total profit minus wage. Suppose the firm offers the repair person a fixed wage of 13,000, what will be the net wage of the repair person and the net profit of the owner? Suppose now the owner offers the repair person the following bonus arrangement What will be the net wage of the repair person? What will be the net profit of the owner? Specify…Max Pentridge is thinking of starting a pinball palace near a large Melbourne university. His utility is given by u(W) = 1 - (5,000/W), where W is his wealth. Max's total wealth is $10,000. With probability p = 0.9 the palace will succeed and Max's wealth will grow from $10,000 to $x. With probability 1 - p the palace will be a failure and he’ll lose $5,000, so that his wealth will be just $5,000. What is the smallest value of x that would be sufficient to make Max want to invest in the pinball palace rather than have a wealth of $10,000 with certainty? ____ (Please round your final answer to the whole dollar, if necessary)Portsmouth Bank has foreclosed on a home mortgage and is selling the house at auction. There are three bidders for the house, Emily, Anna, and Olga. Portsmouth Bank does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $600,000, a probability of 1/3 of valuing at $500,000, and a probability of 1/3 of valuing it at $200,000. Portsmouth Bank believes that these probabilities are independent among buyers. If Portsmouth Bank sells the house by means of a second- bidder, sealed- bid auction (Vicktey auction), what will be the bank's expected revenue from the sale?
- Consider a city where everyone commutes to the city center and commuting cost per mile per month is $40. Each household occupies a 1,000-square-foot dwelling and has $7,000 worth of possessions in its dwelling. The probability that any particular household will be burglarized (involving the uninsured loss of all possessions) is 0.10 at the city center and decreases by 0.01 per mile (to 0.09 at one mile, 0.08 at two miles, and so on). The housing price is $1.00 per square foot at the city center. a) Draw the housing-price curve for locations up to five miles from the city center.A risk-averse manager is considering a project that will cost £100. There is a 10 percent chance the project will generate revenues of £100, an 80 percent chance it will yield revenues of £50, and a 10 percent chance it will yield revenues of £500. Should the manager adopt the project? Explain. What will a risk-neutral and risk-loving manager do in the same situation?. Priyanka has an income of £90,000 and is a von Neumann-Morgenstern expected utility maximiser with von Neumann-Morgenstern utility index u(x) = square root x. There is a 1 % probability that there is flooding damage at her house. The repair of the damage would cost £80,000 which would reduce the income to £10,000. a) Would Priyanka be willing to spend £500 to purchase an insurance policy that would fully insure her against this loss? Explain. b) What would be the highest price (premium) that she would be willing to pay for an insurance policy that fully insures her against the flooding damage?