Labour Market Effects of Immigration: Evidence from Canada

Total Page:16

File Type:pdf, Size:1020Kb

Labour Market Effects of Immigration: Evidence from Canada Labour Market Effects of Immigration: Evidence from Canada A Thesis Submitted to the College of Graduate Studies and Research in Partial Fulfillment of the Requirements for the Degree of Masters of Arts in the Department of Economics, University of Saskatchewan, Canada. By Md. Asadul Islam Saskatoon, Saskatchewan © Copyright Asad Islam August 2003. All Rights Reserve PERMISSION TO USE In presenting this thesis in partial fulfillment of the requirements for a postgraduate degree from the University of Saskatchewan, I agree that Libraries of the University may make it freely available for inspection. I further agree that permission for copying this thesis, in whole or in part, for scholarly purposes may be granted by the professors who supervised my thesis work or, in their absence, by the Head of the Department or the Dean of the College in which my thesis was done. It is understood that any copying or publication or use of the thesis or parts thereof for financial gain shall not be allowed without my permission. It is also understood that due recognition shall be given to me and to the University of Saskatchewan in any scholarly use to which my thesis may be put. Requests for permission to copy or to make use of material in this thesis in whole or in part should be addressed to: Head of Department of Economics University of Saskatchewan 9 Campus Drive Saskatoon, Saskatchewan S7N 5A5, Canada i Abstract: Immigration, the subject of repeated policy debates throughout the last two decades, has once again assumed a central position on the policy agenda. This debate has become more intense in recent years in Canada; the fear is over the potential job displacement and unemployment of Canadian-born workers, and the consequence to the Canadian economy. The recent immigrant incomes have been falling compared to their older counterparts helped to trigger the current policy debate. This thesis attempts to address this debate by providing an objective assessment of the displacement of Canadian-born workers due to immigration and the unemployment-immigration dynamics over the past 40 years of immigration to Canada. The thesis consists of two objectives: Objective-I: Job Displacement Effects of Immigration on Canadian-born First I address the job displacement effects on Canadian-born due to exogenous shifts in immigration flows. It is, therefore, necessary to consider the substitutability or complementarity between Canadian-born and immigrant workers. This is examined by estimating the set of wage earnings equation from the “Generalized Leontief Production Function”. The model specification abstracts from the role of capital, by assuming that labor and capital are separable in production. I then derive the iterated Zellner-efficient estimator (IZEF) (which is numerically equivalent to the maximum likelihood estimator) from the set of wage earnings equations. Then the degree of substitutability or complementarity is calculated using Hick’s (as opposed to Allen’s) elasticity of complementarity. The estimated Hicksian elasticities suggest, in the aggregate, there is no displacement of Canadian-born workers by immigration, although there is some displacement by industry. Objective-II: Unemployment and Immigration Dynamics Next, I consider immigrant not only as an additions to the existing labor force but also job creation effects through their effects for goods and services. Here immigrants are considered as endogenous and I model the dynamics of unemployment and immigration. As a first step, statistical causality is investigated between immigration and unemployment. But causality methods can suffer from omitted variable problem. So, I construct a theoretical labor market and use the cointegration analysis to determine the long run relationship among unemployment rate, immigration level, real wage, and real GDP. Then, I estimate the short-run dynamics with a specification in difference form where the parameters of the cointegrating vectors from the first-step are fixed and entered as an error correction mechanism. The causality test finds no evidence of a significant effect of Canadian unemployment on immigration. The estimation of the long-run and short-run parameter indicates that no statistically significant relationship exists between unemployment and immigration. ii ACKNOWLEDGEMENT: I wish to express profound gratitude to my supervisor Professor Mobinul Huq for his excellent research guidance, constant source of inspiration, encouragement and advice during this research work and my Masters program of study at the University of Saskatchewan. I wish to thank Professor Robert Lucas and Professor Kien C Tran for their extremely helpful comments, unique insights and deep perspectives. I would like to thank Professor Peter Li, an external examiner, for his fruitful comments to the completion of the thesis. I also extend my thanks and appreciation to Professor Joel Bruneau, Professor Morris Altman for their support and contribution towards the completion of the thesis. My sincere thanks to Chris, Rokon, Nikhil, Sanaz and all of my well wishers here at Saskatoon for their encouragement to overcome various difficulties during my Masters program of study here at U of S. A sincere thanks to Dr. S.M. Ashiquzzaman, and Prof. M.A Taslim, my undergraduate teacher, for their insightful ideas and never-ending inspirations for higher studies in abroad. Finally I express my special gratitude and heartfelt thanks to my parents, my Brother Mr. Rafiq for their continuous support and encouragement to go on with my education. This work is dedicated for them. iii DEDICATION To My Parents And My Elder Brother iv Table of Contents: Permission to Use i Abstract ii Acknowledgement iii Dedication iv Table of Contents v List of Table vii List of Figure vii CHAPTER-1: INTRODUCTION 1 1.1 The Debate about Immigration 1 1.2 Motivation 3 1.3 Methodology 4 1.3.1 Substitutability and/or Complementarity 4 1.3.2 Unemployment and Immigration 5 1.4 A Road Map 5 CHAPTER-2: IMMIGRATION IN CANADA 6 2.1 Trends and Patterns in Immigration to Canada 6 2.3 An overview of the Canada’s Immigration Policy 11 2.3 Labor Market Effects of Immigration: Theoretical Framework 16 2.3.1 Effects on the Wage Rate 16 2.3.2 Immigration and Aggregate Unemployment 19 2.3.3 Aggregate Unemployment and Immigration Dynamics 20 2.4 Labor Market Effects of Immigration: Review of the Literature 22 2.4.1 Substitutability and Complementarity: 22 2.4.1(A) Canadian Studies 22 2.4.1(B) Other Countries 23 2.4.2 Aggregate Unemployment and Immigration 25 2.4.2(A) Canadian Studies 25 2.4.2(B) Other Countries 26 CHAPTER-3: MODEL SPECIFICATION 29 3.1 Substitutability and Complementarity 29 3.1.1 The structure of Production 29 v 3.1.2 Statistical Specification 31 3.1.3 Determination of the Socio-Economic Variables 32 3.1.4 Parameters of Interest 33 3.1.5 Econometric issues 33 3.2 Immigration and Aggregate Unemployment Dynamics 35 3.2.1 Causality Test: Immigration and Unemployment 35 3.2.2 Identification of the Long-run and Short-run Structure 36 3.2.2(a) Identifying a Long-run Relationship 36 3.2.2(b) Short-run Dynamics of Unemployment and Immigration 38 CHAPTER-4: ESTIMATION RESULTS AND INTERPRETATION 39 4.1 The Data and Analysis 39 4.2 Estimation Results 43 4.2.1 Elasticity Estimates 44 4.2.2 Substitutability / Complementarity by Industry 47 4.3 Aggregate Unemployment Immigration Dynamics 50 4.3.1 Estimation of statistical Causality 50 4.3.2 Cointegration Analysis 52 4.3.2(a)The E-G Methodology 52 4.3.2(b) The Johansen Methodology 54 4.3.3 Error-Correction Models 57 CHAPTER 5: CONCLUSION AND FUTURE RESEARCH 59 Appendix-I 64 Appendix-II 68 Appendix-III 69 References 71 vi List of Table: Table 4.1: Descriptive Statistics of Selected Variables 40 Table 4.2: Symmetry Constrained Wage Equations using OLS 43 Table 4.3: Symmetry Constrained Wage Equations using the FIML 44 Table 4.4: Hicksian elasticity of complementarity using FIML estimation 45 Table 4.5: Symmetry Constrained Wage Equations Disaggregated by Broad Industrial Classification 48 Table 4.6: Tests for Statistical Causality between Immigration and Unemployment 50 Table 4.7: Test for Unit Root 52 Table 4.8: Test for Cointegration 53 Table 4.9: Johansen Test for Cointegration 55 Table 4.10: Cointegration Test for the System 56 Table 4.11: Temporal Causal Test from Error Correction Models 58 List of Figure: Figure 2.1: Immigrants by Origin and Period of Arrival 7 Figure 2.2: Immigrants by Class, 2001 8 Figure 2.3: Canadian Population Age-Sex Structure, 2000 8 Figure 2.4: Education by Origin (Population 15+), 1996 9 Figure 2.5: Substitute Inputs Case 17 Figure 2.6: Immigrants and Canadians are Complements 18 Figure 5.1: Test for Structural Break in Data 51 vii CHAPTER-1 Introduction 1.1The Debate about Immigration Canada is a country of immigrants and sons and daughters of immigrants. Immigration has shaped the rate of growth of the Canadian population and its demographic composition; it also created much socioeconomic diversity within Canadian society. Historically, immigration has been an essential building block of the Canadian nation, the strength and validity of an astonishing society that is the envy of the world. While the post-world war II immigrants flow was from Europe, the United States, & the British Isles, the post-1967 immigration flows are more from Asia. The debate surrounding immigration policy has become multifaceted especially in recent years over the controversy of the decline in income of recent immigrants. Studies (Coulson & DeVoretz 1993, Baker & Benjamin 1994) have shown that while earlier immigrant income has caught up to that of native Canadians, the recent immigrant income has not. There is also fear that newcomers take job away from native Canadians1.
Recommended publications
  • Labor Demand: First Lecture
    Labor Market Equilibrium: Fourth Lecture LABOR ECONOMICS (ECON 385) BEN VAN KAMMEN, PHD Extension: the minimum wage revisited •Here we reexamine the effect of the minimum wage in a non-competitive market. Specifically the effect is different if the market is characterized by a monopsony—a single buyer of a good. •Consider the supply curve for a labor market as before. Also consider the downward-sloping VMPL curve that represents the labor demand of a single firm. • But now instead of multiple competitive employers, this market has only a single firm that employs workers. • The effect of this on labor demand for the monopsony firm is that wage is not a constant value set exogenously by the competitive market. The wage now depends directly (and positively) on the amount of labor employed by this firm. , = , where ( ) is the market supply curve facing the monopsonist. Π ∗ − ∗ − Monopsony hiring • And now when the monopsonist considers how much labor to supply, it has to choose a wage that will attract the marginal worker. This wage is determined by the supply curve. • The usual profit maximization condition—with a linear supply curve, for simplicity—yields: = + = 0 Π where the last term in parentheses is the slope ∗ of the −labor supply curve. When it is linear, the slope is constant (b), and the entire set of parentheses contains the marginal cost of hiring labor. The condition, as usual implies that the employer sets marginal benefit ( ) equal to marginal cost; the only difference is that marginal cost is not constant now. Monopsony hiring (continued) •Specifically the marginal cost is a curve lying above the labor supply with twice the slope of the supply curve.
    [Show full text]
  • Labor Demand
    ECON 361: Labor Economics Labor Demand Labor Demand 1. The Derivation of the Labor Demand Curve in the Short Run: We will now complete our discussion of the components of a labor market by considering a firm’s choice of labor demand, before we consider equilibrium. We will now revisit the production function from your microeconomics course. Let the production function with labor hours (E) and capital (K) as factors of production be q = f (E, K ) Where f is increasing and concave in E, and K. Let’s first consider the scenario of a firm in a competitive goods, and factor market. The profit function1 is then π = pq − wE − rK = pf (E, K )− wE − rK The first order condition tells us that the firm will hire labor up to the point where the value of the marginal product of labor (VMPE ) equates with the wage rate. pf E (E, K ) = w VMPE = w Note that VMPE is a concave function of E. The same can be said of the choice of capital, but in the long run. How can we depict this choice diagrammatically? First let us describe what is the value of average product of labor? f (E, K ) VAP = p × = p × AP E E E How would the VAPE look like? Since it is a function of the production function it should have an initially increasing portion, but because it is divided by the amount of labor hours used, and we have assumed that f (E, K ) is increasing and concave in E (while E is strictly increasing in E, there will come a point where the denominator is growing at a faster rate that the production function), there will come a point where VAPE will start decreasing.
    [Show full text]
  • Accounting for Labor Demand Effects in Structural Labor Supply Models
    IZA DP No. 5350 Accounting for Labor Demand Effects in Structural Labor Supply Models Andreas Peichl Sebastian Siegloch November 2010 DISCUSSION PAPER SERIES Forschungsinstitut zur Zukunft der Arbeit Institute for the Study of Labor Accounting for Labor Demand Effects in Structural Labor Supply Models Andreas Peichl IZA, University of Cologne, ISER and CESifo Sebastian Siegloch IZA and University of Cologne Discussion Paper No. 5350 November 2010 IZA P.O. Box 7240 53072 Bonn Germany Phone: +49-228-3894-0 Fax: +49-228-3894-180 E-mail: [email protected] Any opinions expressed here are those of the author(s) and not those of IZA. Research published in this series may include views on policy, but the institute itself takes no institutional policy positions. The Institute for the Study of Labor (IZA) in Bonn is a local and virtual international research center and a place of communication between science, politics and business. IZA is an independent nonprofit organization supported by Deutsche Post Foundation. The center is associated with the University of Bonn and offers a stimulating research environment through its international network, workshops and conferences, data service, project support, research visits and doctoral program. IZA engages in (i) original and internationally competitive research in all fields of labor economics, (ii) development of policy concepts, and (iii) dissemination of research results and concepts to the interested public. IZA Discussion Papers often represent preliminary work and are circulated to encourage discussion. Citation of such a paper should account for its provisional character. A revised version may be available directly from the author. IZA Discussion Paper No.
    [Show full text]
  • The Financial Channels of Labor Rigidities: Evidence from Portugal∗
    The Financial Channels of Labor Rigidities: Evidence from Portugal∗ Edoardo M. Acabbi Harvard University JOB MARKET PAPER Ettore Panetti Banco de Portugal, CRENoS, UECE-REM and Suerf Alessandro Sforza University of Bologna and CESifo January 29, 2020 MOST RECENT VERSION Abstract How do credit shocks affect labor market reallocation and firms’ exit, and how doestheir propagation depend on labor rigidities at the firm level? To answer these questions, we match administrative data on worker, firms, banks and credit relationships in Portugal, and conduct an event study of the interbank market freeze at the end of 2008. Consistent with other empirical literature, we provide novel evidence that the credit shock had significant effects on employment and assets dynamics and firms’ survival. These findings areentirely driven by the interaction of the credit shock with labor market frictions, determined by rigidities in labor costs and exposure to working-capital financing, which we label “labor-as- leverage” and “labor-as-investment” financial channels. The credit shock explains about 29 percent of the employment loss among large Portuguese firms between 2008 and 2013, and contributes to productivity losses due to increased labor misallocation. ∗Edoardo M. Acabbi thanks Gabriel Chodorow-Reich, Emmanuel Farhi, Samuel G. Hanson and Jeremy Stein for their extensive advice and support. The authors thank Martina Uccioli, Andrea Alati, António Antunes, Omar Barbiero, Diana Bonfim, Andrea Caggese, Luca Citino, Andrew Garin, Edward L. Glaeser, Ana Gouveia,
    [Show full text]
  • Chapter 18: the Markets for the Factors of Production Principles of Economics, 8Th Edition N
    Chapter 18: The Markets for the Factors of Production Principles of Economics, 8th Edition N. Gregory Mankiw Page 1 1. Introduction a. Why do people have different earnings? i. While it is popular to view earnings as being just fate (aren’t we all victims) or discrimination, supply and demand has a significant influence. ii. Education is important because it increases productivity (and as we will see demand), but it also tends to limit the supply in any category of labor. (1) No surprise, education tends to lead to a higher income. iii. Three fourths of national income is paid in the form of wages and fringe benefits. (1) Much to the rest is a result to savings from wages. iv. The demand for the factors of production is a derived demand. v. The factors of production are the inputs used to produce goods and services. P. 362. (1) Tradition has divided the factors of production into land, labor and capital, although their description is much more complicated than that. vi. This chapter only deals with competitive firms. 2. The Demand for Labor a. Labor markets are different from most other markets because labor demand is a derived demand. b. Figure 1: The Versatility of Supply and Demand. P. 363. c. The Competitive Profit Maximizing Firm i. Two assumptions: (1) There is competition in both the product and input markets. (2) The firm is a profit maximizer. ii. The Production Function and the Marginal Product of Labor (1) Table 1: How the Competitive Firm Decides How Much Labor to Hire.
    [Show full text]
  • Principles of Economics Problem Set 6
    Principles of Economics Problem Set 6 1. Readings: (a) Mankiw’sbook chapters 5,6,7,14 (b) Dr Nili’sbook chapter 3 (c) Murphy’sbook pages 50-69 (d) Becker’sbook chapter 4 (Optional) 2. Reading: Read the article in the link below. In one paragraph elaborate what does the writer want to deliver and in another paragraph, write your position against or pro the writer. Bring suffi cient arguments to support your claims. Be critical. http://www.nytimes.com/2014/10/28/business/international/living-wages-served-in-denmark- fast-food-restaurants.html 3. Suppose a profit-maximizer firm produces good Y using capital and labor according to a production function Y = F (K, L) = AK L . The firm hire labor at wage w and rent the capital at rate r. (a) Write down the cost minimization problem. (b) Write the FOCs (First Order Conditions) (c) Solve for the optimum level of Kand L given Y and the market prices w, r. We call these K (Y ; w, r) and L (Y ; w, r) the "conditional factor demand" functions. (d) Explain mathematically and intuitively, how do the conditional factor demands vary with A, w, r and Y. (e) Find the cost function. (f) Find the marginal cost function. Is it constant? Why? (g) Explain mathematically and intuitively, how the does the marginal cost vary with A, w, r and Y. 1 (h) Now find the firm’ssupply function. (Find Y (p)) (i) Now replace Y with Y (p) in the conditional demand function and solve for K (p; w, r) and L (p; w, r) .
    [Show full text]
  • Industry Labor Demand Curve
    Econ 201: Introduction to Economic Analysis October 16 Lecture: Demand for Factors of Production Jeffrey Parker Reed College Daily dose of The Far Side www.thefarside.com 2 Preview of this class session • Factor markets: The other side of firms and households • Marginal revenue product vs. social value of marginal product • Profit maximization on input side • Firm and industry demand for input in short run and long run • Monopsony • Economic rent 3 Nature of factor demand • Firms demand inputs for same reason they supply output: profit maximization • Factor demand is “derived demand” • Inputs are demanded because they produce outputs that are demanded • Great baseball pitchers make high salaries because of high demand to watch baseball games • Great horseshoe pitchers … not so much • Firms decide how much inputs to demand by evaluating how much an additional unit of input adds to revenue (through increased output) and to cost • Keep adding more input if addition to revenue > addition to cost 4 Marginal revenue product (MRP) • Marginal revenue product = additional revenue to firm from employing one addition unit of factor (e.g., labor) • MRPL = MR MPL TR TR Q • LQL • Price taker in output market: MR = P, MRPL = P MPL = VMPL = value of labor’s marginal product (to society) • Non-price taker: MR < P, MRPL < VMPL (= P MPL) • This is the other side of contrived scarcity of monopoly • Firm that produced too little output uses too little input 5 Profit maximization • Assume that firm is price taker in labor market • This is much more
    [Show full text]
  • The Labor Demand Curve Is Downward Sloping: Reexamining the Impact of Immigration on the Labor Market
    NBER WORKING PAPER SERIES THE LABOR DEMAND CURVE IS DOWNWARD SLOPING: REEXAMINING THE IMPACT OF IMMIGRATION ON THE LABOR MARKET George J. Borjas Working Paper 9755 http://www.nber.org/papers/w9755 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 June 2003 The views expressed herein are those of the authors and not necessarily those of the National Bureau of Economic Research. ©2003 by George J. Borjas. All rights reserved. Short sections of text not to exceed two paragraphs, may be quoted without explicit permission provided that full credit including © notice, is given to the source. The Labor Demand Curve is Downward Sloping: Reexamining the Impact of Immigration on the Labor Market George J. Borjas NBER Working Paper No. 9755 June 2003 JEL No. J1, J6 ABSTRACT Immigration is not evenly balanced across groups of workers that have the same education but differ in their work experience, and the nature of the supply imbalance changes over time. This paper develops a new approach for estimating the labor market impact of immigration by exploiting this variation in supply shifts across education-experience groups. I assume that similarly educated workers with different levels of experience participate in a national labor market and are not perfect substitutes. The analysis indicates that immigration lowers the wage of competing workers: a 10 percent increase in supply reduces wages by 3 to 4 percent. George J. Borjas Kennedy School of Government Harvard University 79 JFK Street Cambridge, MA 02138 and NBER [email protected] 2 THE LABOR DEMAND CURVE IS DOWNWARD SLOPING: REEXAMINING THE IMPACT OF IMMIGRATION ON THE LABOR MARKET* George J.
    [Show full text]
  • Income Distribution Factor Markets and Income Distribution A
    Factor Markets and Income Distribution Factor Markets and Income Distribution a. Factors of production b. Income distribution October 10 2006 c. Marginal productivity and factor demand Reading: Chapter 12, with appendix d. Marginal productivity theory of income distribution In this topic we examine factor markets to understand how the demand-supply model can be used to understand how the e. Problems with marginal productivity prices of factors of production are determined, and how that in theory turn can used to understand how income is determined. We will also examine some problems with that theory, called the f. Labor supply marginal productivity theory of distribution. 1 2 Factors of production Factors of production Factor markets A factor of production is any resource that is used by firms to produce goods and services. Factors of production are bought and sold in factor markets. All inputs are not factors. There are intermediate inputs Prices of factors of production are known as factor which are used up in production. Factors of production prices. Wage, rent, rental on capital. and their owners receive income over and over again. Factor markets work like goods and service markets in some ways: Economists usually classify factors of production into four They can be analyzed using supply and demand analysis main types: Factor prices allocate resources among producers ¾ Land Factor markets are different from goods and service ¾ Labor markets because: ¾ Physical capital - consists of manufactured resources such as buildings and machines. Sometimes referred to Their demand is a derived demand – derived from firm’s as capital output choices and the demand for goods and services ¾ Human capital - improvement in labor created by Most of our income is received from them; factor markets education and knowledge embodied in workers.
    [Show full text]
  • Monopsony in Labor Markets: a Review LSE Research Online URL for This Paper: Version: Accepted Version
    Monopsony in labor markets: a review LSE Research Online URL for this paper: http://eprints.lse.ac.uk/103482/ Version: Accepted Version Article: Manning, Alan (2020) Monopsony in labor markets: a review. Industrial and Labor Relations Review. ISSN 0019-7939 https://doi.org/10.1177/0019793920922499 Reuse Items deposited in LSE Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by national copyright laws. The publisher or other rights holders may allow further reproduction and re-use of the full text version. This is indicated by the licence information on the LSE Research Online record for the item. [email protected] https://eprints.lse.ac.uk/ Equation Chapter 1 Section 1 Monopsony in Labor Markets: A Review Alan Manning* December 2019 Abstract There has been an increase in interest in monopsony in recent years. This paper reviews the accumulating evidence that employers have considerable monopsony power. It summarizes the application of this idea to explaining the impact of minimum wages and immigration, in anti-trust and in understanding how to model the determinants of earnings in matched- employer-employee data sets and the implications for inequality and the labor share. * Centre for Economic Performance and Department of Economics, LSE JEL Classification: J42 Keywords: Monopsony, Imperfect Competition I would like to thank the editor Larry Kahn and Todd Sorensen for their comments. Introduction High levels of inequality and a falling labor share in national income have led to renewed interest in the idea that there is an imbalance in economic power between employers and workers in the labor market.
    [Show full text]
  • Macroeconomic Impacts of Canadian Immigration: Results from a Macro-Model
    IZA DP No. 6743 Macroeconomic Impacts of Canadian Immigration: Results from a Macro-Model Peter Dungan Tony Fang Morley Gunderson July 2012 DISCUSSION PAPER SERIES Forschungsinstitut zur Zukunft der Arbeit Institute for the Study of Labor Macroeconomic Impacts of Canadian Immigration: Results from a Macro-Model Peter Dungan University of Toronto Tony Fang York University and IZA Morley Gunderson University of Toronto Discussion Paper No. 6743 July 2012 IZA P.O. Box 7240 53072 Bonn Germany Phone: +49-228-3894-0 Fax: +49-228-3894-180 E-mail: [email protected] Any opinions expressed here are those of the author(s) and not those of IZA. Research published in this series may include views on policy, but the institute itself takes no institutional policy positions. The Institute for the Study of Labor (IZA) in Bonn is a local and virtual international research center and a place of communication between science, politics and business. IZA is an independent nonprofit organization supported by Deutsche Post Foundation. The center is associated with the University of Bonn and offers a stimulating research environment through its international network, workshops and conferences, data service, project support, research visits and doctoral program. IZA engages in (i) original and internationally competitive research in all fields of labor economics, (ii) development of policy concepts, and (iii) dissemination of research results and concepts to the interested public. IZA Discussion Papers often represent preliminary work and are circulated to encourage discussion. Citation of such a paper should account for its provisional character. A revised version may be available directly from the author.
    [Show full text]
  • Some Standard Models in Labor Economics
    Confirming Pages Mathematical Appendix Some Standard Models in Labor Economics This appendix presents the mathematics behind some of the basic models in labor econom- ics. None of the material in the appendix is required to follow the discussion in the text, but it does provide additional insight to students who have the mathematical ability (in particu- lar, calculus) and who wish to see the models derived in a more technical way. Because the text discusses the economic intuition behind the various models in depth, the presentation in this appendix focuses solely on the mathematical details. 1. The Neoclassical Labor-Leisure Model (Chapter 2) Suppose an individual has a utility function U(C, L), where C is consumption of goods measured in dollars and L is hours of leisure. The partial derivatives of the utility function ϭ Ѩ Ѩ ϭ Ѩ Ѩ are UC U/ C > 0 and UL U/ L > 0. The individual’s budget constraint is given by: C = w (T - L) + V (A-1) where T is total hours available in the time period under analysis (and assumed constant), w is the wage rate, and V is other income. Note that equation (A-1) can be rewritten as: wT + V = C + wL (A-2) An individual’s full income, given by wT ϩ V, gives how much money the individual would have if he or she were to work every available hour. Full income is spent either on consumption or on leisure. This rewriting of the budget constraint shows that each hour of leisure requires the expenditure of w dollars.
    [Show full text]