Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1,000, 5,000, and 10,000, with probabilities 0.84, 0.08, 0.06, and 0.02, respectively. A particular company offers a $500 deductible policy. If the company wishes its expected profit to be $100, what premium amount should it charge (in dollars)?
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Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1,000, 5,000, and 10,000, with probabilities 0.84, 0.08, 0.06, and 0.02, respectively. A particular company offers a $500 deductible policy. If the company wishes its expected profit to be $100, what premium amount should it charge (in dollars)?
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- In repeated games, players choose their actions... Select one: O a. always simultaneously O b. always sequentially. O c. simultaneously or sequentially.A $150 eReader comes with a warranty from an electronics business that covers theft (T) and accidental damage (AD) . Due to the high expense of repairing an eReader, it is more cost-effective for the business to provide the customer a complete refund to go toward another one. There is a 5.1% possibility that an AD (Accidenal Claim) claim will be made in any given year. Assume there can only be one claim made (not one of each type).Customers who report an eReader as stolen will get a reimbursement for 80% of the item's full price. A Theft (T) claim is likely to be submitted 3.5% of the time in any given year.What is the anticipated financial benefit or loss for the firm on each contract if the warrantee costs $15.95 for a year?(NOTE: Keep in mind that regardless of whether a claim is made, the consumer will pay for the warranty upfront.)8. Individual Problems 20-4 Suppose that every driver faces a 4% probability of an automobile accident every year. An accident will, on average, cost each driver $5,000. Suppose there are two types of individuals: those with $30,000.00 in the bank and those with $2,500.00 in the bank. Assume that individuals with $2,500.00 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 $30,000.00 in the bank likely v buy insurance, and those with $2,500.00 in the bank likely buy insurance. (Hint: For each type driver, compare the price of insurance to the expected cost without insurance.) Suppose a state law has been passed…
- A customer has approached a bank for a $100,000 one-year loan at an 8% interest rate. If the bank does not approve this loan application, the $100,000 will be invested in bonds that earn a 6% annual return. Withoutadditional information, the bank believes that there is a 4% chance that this customer will default on the loan, assuming that the loan is approved. If the customer defaults on the loan, the bank will lose $100,000. At a cost of $1000, the bank can thoroughly investigate the customer’s credit record and supply a favorable or unfavorable recommendation. Past experience indicates that the probability of a favorable recommendation for a customer who will eventually not default is 0.80, and the chance of a favorable recommendation for a customer who will eventually default is 0.15.a. Use a decision tree to find the strategy the bank should follow to maximize its expected profit.b. Calculate and interpret the expected value of information (EVI) for this decision problem.c.…C. Determine how much the firm would be willing to pay to a market research firm to gain better information about future market conditions. 10. An investor must decide between two altemative investments-stocks and bonds. The return for each investment, given two future economic conditions, is shown in the following payoff table: Economic Conditions Investment Good Bad Stocks S10,000 S-4.000 Bonds 7.000 2,000 What probability for each economic condition would make the investor indifferent to the choice between stocks and bonds? 11.In Problem 5, Ann Tyler, with the help of a financial newsletter and some library research, has been able to assign probabilities to each of the possible interest rates during the next year, as follows:If the famous insurance company, Lloyd’s of London, insures a $3 million Monet painting for $5000 per year. And, in each year, the painting has a .00021 chance of being stolen according to the Lloyd’s research team? From Lloyd’s perspective, find the expectation for insuring this painting for one year
- There is a 0.9984 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $159 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.)You own a fruit garden. Choose one of the followings by showing clear calculation. Yearly inflation rate is 5%. Option A: Invest 3 lac BDT to buy cultivation tools/factory. At end of every year you may gain high (8 lac BDT), medium (3 lac BDT) or low (1 lac BDT) with respective probability 0.3, 0.4 and 0.3 for the next 5 years. Option B: Lease the garden. The lessee pays 3.5 lac BDT at the beginning of each year for the next 5 years. There is risk of plant mortality due to hyper production. Loss may be high: 9 lac BDT (probability 0.1) or low: 1 lac BDT. This loss is realized at the end of 5th year only.A company estimates that 0.6% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $400. If they offer a 2 year extended warranty for $42, what is the company's expected value of each warranty sold?