Contemporary Labor Economics
11th Edition
ISBN: 9781259290602
Author: Campbell R. McConnell, Stanley L. Brue, David Macpherson
Publisher: McGraw-Hill Education
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Question
Chapter 2, Problem 9QS
To determine
The reason for different “tastes” of leisure and work of two individuals.
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Using Fisher's Intertemporal Choice model, consider the following scenario:
Suppose Milo earns $1,750 in the first period and $2,500 in the second period. If he consumes $1,200 in the first period and $1,550 in the second period, what is the interest rate?
Now if Milo’s consumption changes to $1,800 in the first period and $2,000 in the second period, what is the new interest rate?
Consider the problem of a consumer who chooses between consuming goods and enjoying leisure in the current and future periods. Denote the consumption and leisure in the current period as C and l, and the consumption and leisure in the future period as C′ and l′, respectively. The preference is summarized by the following utility function:
U(C,C′,l,l′)=lnC+ψlnl+β(lnC′ +ψlnl′).
This individual is endowed with h units of time in each period. Wage rate per unit of labour time is w and w′ in the current and future period. In addition, the consumer receives profit transfer π and π′ and pays lump-sum taxes T and T′ in the current and future periods. Denote the saving in the current period as Sp. Answer the following questions.
Derive the life-time budget constraint of this consumer.
Set up the consumer’s problem.
Solve for consumption (C and C′), leisure (l and l′), and saving (Sp).
How does an increase in wage rate w affect C, Sp, and l?
What factors influence an individual's decision to allocate time between work and leisure in the context of the work-leisure model?
Chapter 2 Solutions
Contemporary Labor Economics
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- A worker , who satisfies our normal assumptions , is indifferent between consuming 4 units of leisure while earning 100 dollars and consuming 12 units of leisure while earning 40 dollars . If both bundles are feasible , is this worker maximizing utility ? Why or why not ?arrow_forwardHow would you demonstrate part c) diagramatically 6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b), it is not optimal to work, say, 10, or 6 hours per day.arrow_forwardAssume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves.arrow_forward
- Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves.arrow_forwardin the McCall partial equilibrium model, if unemployed individual can only live for 10 periods. In each period, she will receive $400 if unemployed. The offered wage is uniformly distributed in the range of [500,1000] 1.what will the reservation wage be in the period 9 if the discount rate is 0.9? 2.what will the reservation wage be in the period 8 if the discount rate is 0.9?arrow_forwardKevin has a wage income of $10,000 in the present and $15,000 in the future. His utility is given as U = min (4cp, 5cf), where cp denotes consumption today and cf consumption in the future. The relevant interest rate is 10%. a. If the interest rate were to increase to 15 percent,would Kevin be better off or worse off? Explain. b. Find two measures to indicate how much better off or worse off Kevin is as a result of the increase in interest rates. Explain.arrow_forward
- By not taking into account consumers' ability to substitute toward goods that become relatively cheaper over time, the CPI Group of answer choices may overstate or understate the increase in the cost of living, depending on how quickly prices rise., (Incorrect answer)may overstate or understate the increase in the cost of living, depending on how quickly prices rise. may overstate or understate the increase in the cost of living, regardless of how quickly prices rise. understates the increase in the cost of living. overstates the increase in the cost of living.arrow_forwardAccording to the Permanent Income Hypothesis (PIH), what should a consumer do if she receives news that she will be demoted next year (and her salary will be halved)? Draw the paths of income and consumption for this consumer.arrow_forwardAssume that consumption and leisure are perfect complements, that is, the consumer always desires a consumption bundle where the quantities of consumption and leisure are equal, that is, C=L 1) (Denote the total hours of time available by h, the real wage by w, the real dividend income from firms by pi (π), and the lump-sum tax by T. Write down the consumer’s budget constraint. 2) Determine the consumer’s optimal choice of consumption and leisure. 3) Assume that there is an increase in w . Show how the consumer’s optimal consumption bundle changes. Explain with reference to income and substitution effectsarrow_forward
- we use the Fisher model to discuss a change in the interest rate for a consumer who saves some of his first-period income. Suppose, instead, that the consumer is a borrower. How does that alter the analysis? Discuss the income and substitution effects on consumption in both periods.arrow_forwardDefine the contingent worker?arrow_forwardConsider an individual who receives utility from consumption, c, and leisure, l. The individual has L time to allocate to work, n, and leisure. The individual’s consumption is a function of how much he works. In particular, c = root n. The individual’s maximization problem is max U =ln(c)+θl subject to c = √n n+l=L where θ > 0. Solve the maximization problem. Hint: Substitute both constraints into the objective function.arrow_forward
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