The manager of XYZ Company is introducing a new product that will yield $1,000 in profits if the economy does not go into a recession. However, if a recession occurs, demand for the normal good will fall so sharply that the company will lose $4,000. If economists project that there is a 10 percent chance the economy will go into a recession, what are the expected profits to XYZ Company of introducing the new product? How risky is the introduction of the new product?

A risk-averse consumer with $100,000 in wealth faces 0.1 probability of losing half of his wealth within the next year. a. What is the consumer's expected wealth one year from now? b. An insurance company offers our consumer full insurance against the possible loss. What premium must the consumer be charged for the insurance company to expect to break even?   c. Suppose our risk-averse consumer is indifferent between getting $85,000 wealth with certainty and facing the above described uncertain situation. What is the maximum premium that the insurance company will be able to charge this consumer for its full insurance policy?

Suppose that every driver faces a 2% probability of an automobile accident every year. An accident will, on average, cost each driver $7,000. Suppose there are two types of individuals: those with $42,000.00 in the bank and those with $1,750.00 in the bank. Assume that individuals with $1,750.00 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 $42,000.00 in the bank likely v buy insurance, and those with $1,750.00 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 forcing all individuals to…

Q4. An individual with the utility function u(x) = x² owns her wealth of $20,000. An expected profit maximizing company (or risk neutral company) facing the individual can make expected profit greater than $ 19,900. True or False? Explain it. If it is true, show

Two restaurants are on the same block. One has been opened for 10 years and is a thriving business. The other one has been open for only a year. They both want to expand. When the two owners go to the local bank looking for a loan, which one is likely to get a lower interest rate? Explain in terms of the risk-return principle.