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Calibration and IV Estimation of a Wage Outcome Equation in a Dynamic Environment

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Author Info
Belzil, Christian () (Ecole Polytechnique, Paris)
Hansen, Jörgen () (Concordia University)

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Abstract

We consider an artificial population of forward looking heterogeneous agents making decisions between schooling, employment, employment with training and household production, according to a behavioral model calibrated to a large set of stylized facts. Some of these agents are subject to policy interventions (a higher education subsidy) that vary according to their generosity. We evaluate the capacity of Instrumental Variable (IV) methods to recover the population Local Average Treatment Effect (LATE) and analyze the economic implications of using a strong instrument within a dynamic economic model. We also examine the performances of two sampling designs that may be used to improve classical linear IV; a Regression-Discontinuity (RD) design and an age-based sampling design targeting early career wages. Finally, we investigate the capacity of IV to estimate alternative "causal" parameters. The failure of classical linear IV is spectacular. IV fails to recover the true LATE, even in the static version of the model. In some cases, the estimates lie outside the support of the population distribution of returns to schooling and are nearly twice as large as the population LATE. The trade-off between the statistical power of the instrument and dynamic self-selection caused by the policy shock implies that access to a "strong instrument" is not necessarily desirable. There appears to be no obvious realistic sampling design that can guarantee IV accuracy. Finally, IV also fails to estimate the reduced-form marginal effect of schooling on wages of those affected by the experiment. Within a dynamic setting, IV is deprived of any “causal” substance.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 3528.

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Length: 61 pages
Date of creation: Jun 2008
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Handle: RePEc:iza:izadps:dp3528

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Related research
Keywords: dynamic discrete choice; dynamic programming; treatment effects; weak instruments; instrumental variable; returns to schooling;

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Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Chari, V.V. & Kehoe, Patrick J. & McGrattan, Ellen R., 2008. "Are structural VARs with long-run restrictions useful in developing business cycle theory?," Journal of Monetary Economics, Elsevier, vol. 55(8), pages 1337-1352, November. [Downloadable!] (restricted)
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  2. Belzil, Christian & Hansen, Jörgen, 2002. "Unobserved Ability and the Return to Schooling," IZA Discussion Papers 508, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Christian Belzil & Jörgen Hansen, 2007. "A Structural Analysis of the Correlated Random Coefficient Wage Regression Model," Post-Print halshs-00201350_v1, HAL. [Downloadable!]
  4. Christian Belzil & Jörgen Hansen, 2004. "A Structural Analysis of the Correlated Random Coefficient Wage Regression Model," Working Papers 0405, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure. [Downloadable!]
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  5. Petra E. Todd & Kenneth I. Wolpin, 2006. "Assessing the Impact of a School Subsidy Program in Mexico: Using a Social Experiment to Validate a Dynamic Behavioral Model of Child Schooling and Fertility," American Economic Review, American Economic Association, vol. 96(5), pages 1384-1417, December. [Downloadable!]
  6. Christian Belzil, 2006. "Testing the Specification of the Mincer Wage Equation," Working Papers 0608, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure. [Downloadable!]
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  7. van den Berg, Gerard, 2007. "An economic analysis of exclusion restrictions for instrumental variable estimation," Working Paper Series 2007:10, IFAU - Institute for Labour Market Policy Evaluation. [Downloadable!]
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  8. Heckman, James J & Lochner, Lance & Taber, Christopher, 1998. "General-Equilibrium Treatment Effects: A Study of Tuition Policy," American Economic Review, American Economic Association, vol. 88(2), pages 381-86, May. [Downloadable!] (restricted)
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  9. Wilbert van der Klaauw, 2002. "Estimating the Effect of Financial Aid Offers on College Enrollment: A Regression-Discontinuity Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1249-1287, November. [Downloadable!] (restricted)
  10. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-75, March. [Downloadable!] (restricted)
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  11. Christian Belzil, 2006. "The Return to Schooling in Structural Dynamic Models: A Survey," IZA Discussion Papers 2370, Institute for the Study of Labor (IZA). [Downloadable!]
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  12. Susumu Imai & Michael P. Keane, 2004. "Intertemporal Labor Supply and Human Capital Accumulation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 601-641, 05. [Downloadable!] (restricted)
  13. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
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  14. Thierry Magnac & David Thesmar, 2002. "Identifying Dynamic Discrete Decision Processes," Econometrica, Econometric Society, vol. 70(2), pages 801-816, March. [Downloadable!] (restricted)
  15. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July. [Downloadable!] (restricted)
  16. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, 05. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Belzil, Christian & Hansen, Jörgen & Kristensen, Nicolai, 2008. "Estimating Complementarity between Education and Training," IZA Discussion Papers 3882, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  2. Christian Belzil & François Poinas, 2008. "Education and Early Career Outcomes of Second-Generation Immigrants in France," Working Papers 0836, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure. [Downloadable!]
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