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Microeconomics Study Set 44
Exam 20: Uncertainty, Risk, and Private Information
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Question 21
Multiple Choice
Use the following to answer questions: Scenario: Buying Shares Geordie is considering buying shares in two companies, Apple and Microsoft. If he invests $1,000 in Apple, there is a 40% probability that his investment will be worth only $800 and a 60% probability that it will be worth $1,200 at the end of a year. If he invests $500 in Apple, there is a 40% probability that his investment will be worth $400 and a 60% probability that it will be worth $600 at the end of a year. The corresponding numbers for investment in Microsoft are identical. -(Scenario: Buying Shares) Look at the scenario Buying Shares. The probability that Geordie will make a gain is _____ if he invests $1,000 in either Apple or Microsoft. The probability that he will make a gain is _____ if he invests $500 apiece in Apple and in Microsoft.
Question 22
Multiple Choice
Which pair of events is NOT independent?
Question 23
Multiple Choice
Use the following to answer questions: Scenario: Choosing Insurance The Ramirez family owns three cars and is considering buying insurance to cover the cost of repairs. They face two possible states: in state 1 their cars need no repairs and their income available for purchasing other goods and services is $50,000; in state 2 their cars need $10,000 worth of repairs and their income available for purchasing other goods and services is reduced to $40,000. The probability of repairs is 10%, while the probability of no repairs is 90%. -(Scenario: Choosing Insurance) Refer to the information in the scenario Choosing Insurance. For $1,000 the Ramirez family can buy insurance that will cover the full cost of repairs. If family members are risk-averse and want to maximize their expected utility:
Question 24
Multiple Choice
An individual finds that as his income increases, his total utility also increases but at a decreasing rate. This can be attributed to:
Question 25
True/False
An efficient allocation of risk occurs when those most willing to bear risk insure those who are least willing to bear risk.
Question 26
Multiple Choice
Use the following to answer questions:
-(Table: Natasha's Total Utility) Look at the table Natasha's Total Utility. Natasha earns $50,000 per year but faces losing $20,000 of it if she is late with her work. If there is a 25% probability that Natasha will be late with her work and her income will equal $30,000, what certain income leaves Natasha just as well off as her uncertain income?
Question 27
Multiple Choice
Use the following to answer questions:
-(Table: Income and Utility for Whitney) Look at the table Income and Utility for Whitney. Whitney's income next year is uncertain: there is a 40% probability she will make $40,000 and a 60% probability she will make $80,000. Whitney's expected utility is _____ utils.
Question 28
Multiple Choice
Barcelona and Los Angeles are similar, except Barcelona has a good public transportation system and Los Angeles does not. Auto insurance will probably be more expensive in _____, since the _____ for insurance is _____.
Question 29
Multiple Choice
Which pair of events is likely to be positively correlated?
Question 30
Multiple Choice
Consider the marginal utility of income curves of Hank, Babe, Barry, and Willie. Hank's is constant; Babe's is slightly diminishing; Barry's is strongly diminishing; and Willie's is upward-sloping. All else equal, which of these individuals will be most risk-averse?
Question 31
Multiple Choice
An individual can almost eliminate risk by taking a small share in many independent events or by taking advantage of the predictability associated with large numbers of independent events. This is known as: