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Identifying Agent's Information Sets: an Application to a Lifecycle Model of Schooling, Consumption, and Labor Supply

Author

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  • Salvador Navarro

    (University of Western Ontario)

  • Jin Zhou

    (University of Chicago)

Abstract
We adapt the insight of Cunha et al. (2005) to develop a methodology that distinguishes information unknown to the econometrician but forecastable by the agent from information unknown to both, at each point in an agent's lifecycle. Predictable variability and uncertainty have different implications in terms of welfare, especially when markets are incomplete. We apply our procedure in the context of an incomplete markets lifecycle model of consumption, labor supply, and schooling decisions, when borrowing limits arise from repayment constraints. Using microdata on earnings, hours worked, schooling choices, and consumption of white males in the US, we infer the agent's information set. We then estimate the model using the identified agent's information set. We find that 52% and 56% of the variance of college and high school log wages respectively are predictable by the agent at the time schooling choices are made. When we complete the market, college attendance increases from 48% to 59%, about half of this increase is due to uncertainty, and the other half because of the borrowing limits. To illustrate the importance of assumptions about what is forecastable by the agent, we simulate a minimum wage insurance policy under different assumptions about the information available to the agents in the model. When we allow for asymmetric information between the insurance institution and the individual, adverse selection turns profits negative. Consumer welfare, however, increases by about 28% when we give individuals access to their estimated information set regardless of asymmetries. (Copyright: Elsevier)

Suggested Citation

  • Salvador Navarro & Jin Zhou, 2017. "Identifying Agent's Information Sets: an Application to a Lifecycle Model of Schooling, Consumption, and Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 58-92, April.
    • Handle: RePEc:red:issued:16-155
    DOI: 10.1016/j.red.2017.01.011
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    1. Rong Hai & James Heckman, 2017. "Inequality in Human Capital and Endogenous Credit Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 4-36, April.
    2. Hansen, Karsten T. & Heckman, James J. & Mullen, K.J.Kathleen J., 2004. "The effect of schooling and ability on achievement test scores," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 39-98.
    3. Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
    4. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
    5. Lance J. Lochner & Alexander Monge-Naranjo, 2011. "The Nature of Credit Constraints and Human Capital," American Economic Review, American Economic Association, vol. 101(6), pages 2487-2529, October.
    6. John Fitzgerald & Peter Gottschalk & Robert Moffitt, 1998. "An Analysis of Sample Attrition in Panel Data: The Michigan Panel Study of Income Dynamics," Journal of Human Resources, University of Wisconsin Press, vol. 33(2), pages 251-299.
    7. Heckman, James J. & Navarro, Salvador, 2007. "Dynamic discrete choice and dynamic treatment effects," Journal of Econometrics, Elsevier, vol. 136(2), pages 341-396, February.
    8. V. Joseph Hotz & Robert A. Miller, 1993. "Conditional Choice Probabilities and the Estimation of Dynamic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 497-529.
    9. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute of Labor Economics (IZA).
    10. Lochner, L. & Monge-Naranjo, A., 2016. "Student Loans and Repayment," Handbook of the Economics of Education,, Elsevier.
    11. Pedro Carneiro & James J. Heckman, 2002. "The Evidence on Credit Constraints in Post--secondary Schooling," Economic Journal, Royal Economic Society, vol. 112(482), pages 705-734, October.
    12. Flávio Cunha & James Heckman, 2016. "Decomposing Trends in Inequality in Earnings into Forecastable and Uncertain Components," Journal of Labor Economics, University of Chicago Press, vol. 34(S2), pages 31-65.
    13. Katja Kaufmann & Luigi Pistaferri, 2009. "Disentangling Insurance and Information in Intertemporal Consumption Choices," American Economic Review, American Economic Association, vol. 99(2), pages 387-392, May.
    14. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, May.
    15. Browning, Martin & Hansen, Lars Peter & Heckman, James J., 1999. "Micro data and general equilibrium models," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 8, pages 543-633, Elsevier.
    16. Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, September.
    17. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
    18. Zhang, Harold H, 1997. "Endogenous Borrowing Constraints with Incomplete Markets," Journal of Finance, American Finance Association, vol. 52(5), pages 2187-2209, December.
    19. Stéphane Bonhomme & Jean-Marc Robin, 2010. "Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 491-533.
    20. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    21. Martin Browning & Annamaria Lusardi, 1996. "Household Saving: Micro Theories and Micro Facts," Journal of Economic Literature, American Economic Association, vol. 34(4), pages 1797-1855, December.
    22. Peter Gottschalk & Robert Moffitt, 1994. "The Growth of Earnings Instability in the U.S. Labor Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 217-272.
    23. Flavio Cunha & James Heckman & Salvador Navarro, 2005. "Separating uncertainty from heterogeneity in life cycle earnings," Oxford Economic Papers, Oxford University Press, vol. 57(2), pages 191-261, April.
    24. Carranza, Juan Esteban, 2010. "Product innovation and adoption in market equilibrium: The case of digital cameras," International Journal of Industrial Organization, Elsevier, vol. 28(6), pages 604-618, November.
    25. Christian Belzil & Jörgen Hansen, 2002. "Unobserved Ability and the Return to Schooling," Econometrica, Econometric Society, vol. 70(5), pages 2075-2091, September.
    26. Richard Blundell & Luigi Pistaferri & Ian Preston, 2008. "Consumption Inequality and Partial Insurance," American Economic Review, American Economic Association, vol. 98(5), pages 1887-1921, December.
    27. 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.
    28. Matzkin, Rosa L, 1992. "Nonparametric and Distribution-Free Estimation of the Binary Threshold Crossing and the Binary Choice Models," Econometrica, Econometric Society, vol. 60(2), pages 239-270, March.
    29. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
    30. James Heckman & Rodrigo Pinto & Peter Savelyev, 2013. "Understanding the Mechanisms through Which an Influential Early Childhood Program Boosted Adult Outcomes," American Economic Review, American Economic Association, vol. 103(6), pages 2052-2086, October.
    31. Meta Brown & John Karl Scholz & Ananth Seshadri, 2012. "A New Test of Borrowing Constraints for Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 511-538.
    32. Lance Lochner & Youngki Shin, 2014. "Understanding Earnings Dynamics: Identifying and Estimating the Changing Roles of Unobserved Ability, Permanent and Transitory Shocks," NBER Working Papers 20068, National Bureau of Economic Research, Inc.
    33. Thomas MaCurdy & Thomas Mroz & R. Mark Gritz, 1998. "An Evaluation of the National Longitudinal Survey on Youth," Journal of Human Resources, University of Wisconsin Press, vol. 33(2), pages 345-436.
    34. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    35. William B. Peterman, 2016. "Reconciling Micro And Macro Estimates Of The Frisch Labor Supply Elasticity," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 100-120, January.
    36. Luigi Pistaferri, 2001. "Superior Information, Income Shocks, And The Permanent Income Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 465-476, August.
    37. Satyajit Chatterjee & Felicia Ionescu, 2012. "Insuring student loans against the financial risk of failing to complete college," Quantitative Economics, Econometric Society, vol. 3(3), pages 393-420, November.
    38. Thomas J. Kane, 1996. "College Cost, Borrowing Constraints and the Timing of College Entry," Eastern Economic Journal, Eastern Economic Association, vol. 22(2), pages 181-194, Spring.
    39. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
    40. Stephen V. Cameron & James J. Heckman, 2001. "The Dynamics of Educational Attainment for Black, Hispanic, and White Males," Journal of Political Economy, University of Chicago Press, vol. 109(3), pages 455-499, June.
    41. John Cawley & James Heckman & Edward Vytlacil, 1998. "Understanding the Role of Cognitive Ability in Accounting for the Recent Rise in the Economic Return to Education," NBER Working Papers 6388, National Bureau of Economic Research, Inc.
    42. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    43. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    44. Stephen V. Cameron & Christopher Taber, 2004. "Estimation of Educational Borrowing Constraints Using Returns to Schooling," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 132-182, February.
    45. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    46. Jane Cooley Fruehwirth & Salvador Navarro & Yuya Takahashi, 2016. "How the Timing of Grade Retention Affects Outcomes: Identification and Estimation of Time-Varying Treatment Effects," Journal of Labor Economics, University of Chicago Press, vol. 34(4), pages 979-1021.
    47. Wilbert van der Klaauw, 2012. "On the Use of Expectations Data in Estimating Structural Dynamic Choice Models," Journal of Labor Economics, University of Chicago Press, vol. 30(3), pages 521-554.
    48. John Cawley & Karen Conneely & James Heckman & Edward Vytlacil, 1996. "Cognitive Ability, Wages, and Meritocracy," NBER Working Papers 5645, National Bureau of Economic Research, Inc.
    49. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    50. Christopher R. Taber, 2001. "The Rising College Premium in the Eighties: Return to College or Return to Unobserved Ability?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 665-691.
    51. Orazio P. Attanasio & Hamish Low, 2004. "Estimating Euler Equations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 405-435, April.
    52. Keane, Michael P. & Todd, Petra E. & Wolpin, Kenneth I., 2011. "The Structural Estimation of Behavioral Models: Discrete Choice Dynamic Programming Methods and Applications," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 4, pages 331-461, Elsevier.
    53. French, Eric & Taber, Christopher, 2011. "Identification of Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 6, pages 537-617, Elsevier.
    54. Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-552, September.
    55. Rong Hai & James Heckman, 2017. "Inequality in Human Capital and Endogenous Credit Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 4-36, April.
    56. Keane, Michael P & Wolpin, Kenneth I, 2001. "The Effect of Parental Transfers and Borrowing Constraints on Educational Attainment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1051-1103, November.
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