Contemporary Labor Economics
Contemporary Labor Economics
11th Edition
ISBN: 9781259290602
Author: Campbell R. McConnell, Stanley L. Brue, David Macpherson
Publisher: McGraw-Hill Education
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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?
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