Microeconomics, Student Value Edition Plus MyLab Economics with Pearson eText - Access Card Package (12th Edition)
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Chapter 20, Problem 1SPA

(a)

To determine

Identify the expected income.

(a)

Expert Solution
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Explanation of Solution

In the given case, there is a 50% chance to make $4,000 in a month and another 50% chance to make nothing. Therefore, the expected income of L can be calculated as follows:

Expected income=(Probaility1×Income1)+(Probaility2×Income2)=(0.5×$4,000)+(0.5×$0)=$2,000

Thus, the expected income of L is $2,000.

Economics Concept Introduction

Expected income: Expected income is the money value that of what a person expects to own at a given point of time.

 (b)

To determine

Identify the expected utility.

 (b)

Expert Solution
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Explanation of Solution

The given graph shows that when the income is $4,000, the corresponding utility is 100; when the income is $0, then the corresponding utility is also 0. Now the expected utility can be calculated as follows:

Expected utility=(Probaility1×Utility1)+(Probaility2×Utility2)=(0.5×$100)+(0.5×$0)=50

Thus, the expected utility of L is 50.

Economics Concept Introduction

Expected income: Expected income is the money value of what a person expects to own at a given point in time.

 (c)

To determine

Identify the amount that is offered by another firm with certainty to persuade L not to take the risky sales job.

 (c)

Expert Solution
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Explanation of Solution

The given graph shows that the expected utility of L is 50. The corresponding wealth in the graph along the x-axis is $1,250. Hence, L would have to be offered about $1,250 a month with certainty to persuade L not to take the risky sales job.

Economics Concept Introduction

Expected income: Expected income is the money value of what a person expects to own at a given point in time.

Expected income: Expected income is the money value of what a person expects to own at a given point in time.

 (d)

To determine

Identify the cost of risk.

 (d)

Expert Solution
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Explanation of Solution

The cost of risk is the difference between the expected income and the certain income offered by the other firms to persuade L not to take the risky sales job. Thus, the cost of risk can be calculated as follows;

Cost of income=Expected incomeCertain income=$2,000$1,250=$750

The amount of the cost of risk is $750.

Economics Concept Introduction

Cost of risk: The cost of risk is found by comparing the expected wealth in a given risky situation with the wealth that gives the same utility with no risk.

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