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Microeconomics Study Set 23
Exam 5: Uncertainty and Consumer Behavior
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Question 101
Multiple Choice
The information in the table below describes choices for a new doctor. The outcomes represent different macroeconomic environments, which the individual cannot predict.Table 5.3
-Refer to Table 5.3. The expected returns are highest for the physician who:
Question 102
Essay
C and S Metal Company produces stainless steel pots and pans. C and S can pursue either of two distribution plans for the coming year. The firm can either produce pots and pans for sale under a discount store label or manufacture a higher quality line for specialty stores and expensive mail order catalogs. High initial setup costs along with C and S's limited capacity make it impossible for the firm to produce both lines. Profits under each plan depend upon the state of the economy. One of three conditions will prevail: growth (probability = 0.3) normal (probability = 0.5) recession (probability = 0.2) The outcome under each plan for each state of the economy is given in the table below. Figures in the table are profits measured in dollars. The probabilities for each economic condition represent crude estimates. Economic Condition Discount Line Specialty Line Growth 250,000 400,000 Normal 220,000 230,000 Recession 140,000 20,000 a. Calculate the expected value for each alternative. b. Which alternative is more risky? (Calculate the standard deviation of profits for each alternative.) c. Taking into account the importance of risk, which alternative should an investor choose?
Question 103
Essay
John Smith is considering the purchase of a used car that has a bank book value of $16,000. He believes that there is a 20% chance that the car's transmission is damaged. If the transmission is damaged, the car would be worth only $12,000 to Smith. What is the expected value of the car to Smith?
Question 104
Essay
Donna is considering the option of becoming a co-owner in a business. Her investment choices are to hold a risk free asset that has a return of
and co-ownership of the business, which has a rate of return of
and a level of risk of
. Donna's marginal rate of substitution of return for risk
where
is Donna's portfolio rate of return and σ
P
is her optimal portfolio risk. Donna's budget constraint is given by
Solve for Donna's optimal portfolio rate of return and risk as a function of
,
and
. Suppose the table below lists the relevant rates of returns and risks. Use this table to determine Donna's optimal rate or return and risk. Investment Rate of Return Risk Risk Free 0.06 0 Business 0.25 0.39
Question 105
Multiple Choice
An investment opportunity has two possible outcomes. The expected value of the investment opportunity is $250. One outcome yields a $100 payoff and has a probability of 0.25. What is the payoff of the other outcome?