Suppose your classmate Shen offers you a wager: He will choose a playing card at random from a deck and pay you $1,000 if it is red, but you have to pay him $1,000 if it is black. Assume your wealth is currently $3,000. The graph shown below plots your utility as a function of wealth. Use the graph to answer the questions that follow.

Microeconomic Theory
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Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.2P
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Suppose your classmate Shen offers you a wager: He will choose a playing card at random from a deck and pay you $1,000 if it is red, but you have
to pay him $1,000 if it is black. Assume your wealth is currently $3,000. The graph shown below plots your utility as a function of wealth. Use the
graph to answer the questions that follow.
UTILITY (Units of utility)
100
90
80
70
60
50
40
30
20
10
0
0
1
B
+++
A
2
*
3
WEALTH (Thousands of dollars)
The shape of your utility function implies that you are a
the difference in utility between C and A is less than
4
5
?
risk-averse individual, and, therefore, you would not
the difference between A and B.
accept the wager because
Which of the following sentences most appropriately describe why the pain of losing $1,000 is greater than the joy of winning $1,000 for individuals
who are risk averse? Check all that apply.
Risk-averse people are relatively wealthy and simply do not need the additional money.
✔ The utility function of a risk-averse person exhibits the law of diminishing marginal utility.
Risk-averse people overestimate the probability of losing money.
The more wealth that risk-averse people have, the less satisfaction they receive from an additional dollar.
Transcribed Image Text:Suppose your classmate Shen offers you a wager: He will choose a playing card at random from a deck and pay you $1,000 if it is red, but you have to pay him $1,000 if it is black. Assume your wealth is currently $3,000. The graph shown below plots your utility as a function of wealth. Use the graph to answer the questions that follow. UTILITY (Units of utility) 100 90 80 70 60 50 40 30 20 10 0 0 1 B +++ A 2 * 3 WEALTH (Thousands of dollars) The shape of your utility function implies that you are a the difference in utility between C and A is less than 4 5 ? risk-averse individual, and, therefore, you would not the difference between A and B. accept the wager because Which of the following sentences most appropriately describe why the pain of losing $1,000 is greater than the joy of winning $1,000 for individuals who are risk averse? Check all that apply. Risk-averse people are relatively wealthy and simply do not need the additional money. ✔ The utility function of a risk-averse person exhibits the law of diminishing marginal utility. Risk-averse people overestimate the probability of losing money. The more wealth that risk-averse people have, the less satisfaction they receive from an additional dollar.
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