Exam 11: Time and Uncertainty

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The value of a deposit amount X with interest r after one period equals:

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Insurance policies can be bought to cover unexpected costs due to:

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In general, the amount people pay for insurance is:

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Economists have observed that individuals have _______ tastes for taking on financial risks and are _______ in general.

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Which of the following is closest to the future value of an $800,000 deposit earning 2 percent interest annually after 20 years?

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To compute the present value of a future amount, you must know the _______ and the _______.

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What is the foundational principle that allows insurance companies to work?

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The present value of $500,000 received in 4 years at 7 percent interest is approximately:

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Risk pooling:

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The fee that insurance companies collect in exchange for covering unpredictable costs is called a(n):

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Consider two insurance companies. Insurance Company A insures homes in Florida against hurricane damage. Insurance Company B insures homes in Oklahoma against tornado damage. Suppose that in the next year, there is a 20 percent chance that Florida will be hit by a devastating hurricane. If it does, Company A will lose $3 million. If no hurricane hits Florida, Company A will earn $5 million in profits. Suppose that also in the next year, there is a 10 percent chance that Oklahoma will be hit by a devastating tornado. If it does, Company B will lose $2 million. If there is no tornado, Company B will earn $4 million in profits.Now suppose that these two companies are considering a merger. If they merge, they will split their profits or losses equally. The potential outcomes and their probabilities are as follows:72 percent chance of neither a hurricane nor a tornado occurring;18 percent chance of a hurricane occurring, but not a tornado;8 percent chance of a tornado occurring, but not a hurricane;2 percent chance of both a tornado and a hurricane occurring.Which of the following statements is true?

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Insurance companies try to mitigate the problem of adverse selection by:

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If you knew that an investment was going to pay you $128 in 5 years, and you knew that the annual interest rate over that time would be 5 percent, you could calculate the present value to be:

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In general, people are willing to pay more than the expected value of insurance because:

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Benefits today cannot be directly compared with costs in the future because:

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When thinking about investing money in _______, one must consider the trade-off between risk and expected value.

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A deposit of $500 after a year at 3 percent interest has a value of:

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Consider two insurance companies. Insurance Company A insures homes in Florida against hurricane damage. Insurance Company B insures homes in Oklahoma against tornado damage. Suppose that in the next year, there is a 20 percent chance that Florida will be hit by a devastating hurricane. If it does, Company A will lose $3 million. If no hurricane hits Florida, Company A will earn $5 million in profits. Suppose that also in the next year, there is a 10 percent chance that Oklahoma will be hit by a devastating tornado. If it does, Company B will lose $2 million. If there is no tornado, Company B will earn $4 million in profits.Now suppose that these two companies are considering a merger. If they merge, they will split their profits or losses equally. The potential outcomes and their probabilities are as follows:72 percent chance of neither a hurricane nor a tornado occurring;18 percent chance of a hurricane occurring, but not a tornado;8 percent chance of a tornado occurring, but not a hurricane;2 percent chance of both a tornado and a hurricane occurring.Which of the following statements is true?The expected value of Company A's earnings is the same whether or not the companies merge.If Company A is risk averse, the company would prefer to merge.The expected value of Company B's earnings is $3,400,000 if there is no merger.

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When deciding whether or not to purchase insurance for an event, it is important to know:

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What is the amount of interest owed on a loan of $75,000 after a year at an interest rate of 1 percent?

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