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Child Skill Production: Accounting for Parental and Market-Based Time and Goods Investments

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Abstract
This paper studies the multidimensional nature of investments in children within a dynamic framework. In particular, we examine the roles of parental time investments, purchased home goods/services inputs, and market-based child care services. We first document strong increases in total investment expenditures by maternal education; yet expenditure shares, which skew heavily towards parental time, vary little with parental schooling. Second, we develop an intergenerational lifecycle model with multiple child investment inputs to study these patterns and the impacts of policies that alter the prices of different inputs. We analytically characterize investment behavior, focusing on the substitutability of different investment inputs and the way parental skills affect the productivity of family-based inputs. Third, we develop an estimation strategy that exploits intratemporal optimality conditions based on relative demand to estimate substitutability between inputs, the relative productivity of different inputs, and the role played by parental education. This approach requires no assumptions about the dynamics of skill investment, preferences, or credit markets. We also account for mismeasured inputs and wages, as well as unobserved heterogeneity in parenting skills. We further show how noisy measures of child achievement (measured several years apart) can also be incorporated in a generalized method of moments approach to additionally identify the dynamics of skill accumulation. Fourth, we use data from the Child Development Supplement of the Panel Study of Income Dynamics to estimate the skill production technology for children ages 12 and younger. Our estimates suggest complementarity between parental time and home goods/services inputs as well as between these family-based inputs and market-based child care, with elasticities of substitution ranging from 0.2 to 0.5. We find no systematic effects of parental education on the relative productivity of parental time and other home inputs. Finally, we use counterfactual simulations to explore the extent and sources of variation in investments across families, as well as investment responses to changes in input prices. We find that variation in prices explains 48% of the overall variance in investment expenditures, and differences in wages explain more than half of the investment expenditure gap between college-educated and non-college-educated parents. We further show that accounting for the degree of input complementarity implied by our estimates has important implications for the responses of individual inputs to any price change and for the responses in total investments and skill accumulation to large (but not small) price changes.

Suggested Citation

  • Elizabeth Caucutt & Lance Lochner & Joseph Mullins & Youngmin Park, 2020. "Child Skill Production: Accounting for Parental and Market-Based Time and Goods Investments," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20204, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    • Handle: RePEc:uwo:hcuwoc:20204
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    Cited by:

    1. Jorge Luis García & James J. Heckman, 2023. "Parenting Promotes Social Mobility Within and Across Generations," Annual Review of Economics, Annual Reviews, vol. 15(1), pages 349-388, September.
    2. Uta Bolt & Eric French & Jamie Hentall Maccuish & Cormac O’Dea, 2018. "Intergenerational Altruism and Transfers of Time and Money: A Life-cycle Perspective," Working Papers wp379, University of Michigan, Michigan Retirement Research Center.
    3. Minchul Yum, 2023. "Parental Time Investment And Intergenerational Mobility," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 187-223, February.
    4. Nicola Fuchs-Schündeln & Dirk Krueger & André Kurmann & Etienne Lalé & Alexander Ludwig & Irina Popova, 2023. "The Fiscal and Welfare Effects of Policy Responses to the Covid-19 School Closures," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 71(1), pages 35-98, March.
    5. Youngsoo Jang & Minchul Yum, 2024. "Aggregate and Intergenerational Implications of School Closures: A Quantitative Assessment," American Economic Journal: Macroeconomics, American Economic Association, vol. 16(3), pages 90-130, July.
    6. Francesco Agostinelli & Domenico Ferraro & Xincheng Qiu & Giuseppe Sorrenti, 2024. "Intra-Household Insurance and the Intergenerational Transmission of Income Risk," Working Papers 2024-002, Human Capital and Economic Opportunity Working Group.
    7. Hélène Le Forner, 2021. "Formation of Children's Cognitive and Socio-Emotional Skills: Is All Parental Time Equal?," Working Papers halshs-03160526, HAL.
    8. Nicola Fuchs-Schünde & Dirk Krueger & Alexander Ludwig & Irina Popova, 2022. "The Long-Term Distributional and Welfare Effects of Covid-19 School Closures," The Economic Journal, Royal Economic Society, vol. 132(645), pages 1647-1683.
    9. Iacopo Morchio, 2022. "Policies for Early Childhood Skills Formation: Accounting for Parental Choices and Noncognitive Skills," Bristol Economics Discussion Papers 22/755, School of Economics, University of Bristol, UK.
    10. Dirk Krueger & Alexander Ludwig & Irina Popova, 2024. "Shaping Inequality and Intergenerational Persistence of Poverty: Free College or Better Schools," NBER Working Papers 32467, National Bureau of Economic Research, Inc.
    11. Richard Gearhart & Lyudmyla Sonchak-Ardan & Raphael Thibault, 2023. "The impact of minimum wage on parental time allocation to children: evidence from the American Time Use Survey," Review of Economics of the Household, Springer, vol. 21(3), pages 1019-1042, September.
    12. Dirk Krueger & Alexander Ludwig & Irina Popova, 2024. "Shaping Inequality and Intergenerational Persistence of Poverty: Free College or Better Schools," PIER Working Paper Archive 24-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    13. Jacob Bastian, 2020. "The EITC and Maternal Time Use: More Time Working and Less Time with Kids?," Working Papers 2020-077, Human Capital and Economic Opportunity Working Group.
    14. Konstantin Kunze, 2022. "Public Health Insurance of Children and Parental Labor Market Outcomes," Working Papers 349, University of California, Davis, Department of Economics.
    15. Joseph Mullins, 2022. "Designing Cash Transfers in the Presence of Children's Human Capital Formation," Working Papers 2022-019, Human Capital and Economic Opportunity Working Group.
    16. Sarah Flood & Joel McMurry & Aaron Sojourner & Matthew Wiswall, 2022. "Inequality in Early Care Experienced by US Children," Journal of Economic Perspectives, American Economic Association, vol. 36(2), pages 199-222, Spring.
    17. Taryn W. Morrissey, 2023. "The Earned Income Tax Credit and Short-Term Changes in Parents’ Time Investments in Children," Journal of Family and Economic Issues, Springer, vol. 44(2), pages 412-433, June.
    18. Taryn W. Morrissey, 2023. "The minimum wage and parent time use," Review of Economics of the Household, Springer, vol. 21(3), pages 1043-1062, September.
    19. Wright, Jacob & Zheng, Angela, 2024. "From Preschool to College: The Impact of Education Policies over the Lifecycle," IZA Discussion Papers 17301, Institute of Labor Economics (IZA).
    20. Jacob Bastian & Lance Lochner, 2022. "The Earned Income Tax Credit and Maternal Time Use: More Time Working and Less Time with Kids?," Journal of Labor Economics, University of Chicago Press, vol. 40(3), pages 573-611.
    21. Orazio Attanasio & Sarah Cattan & Costas Meghir, 2021. "Early Childhood Development, Human Capital and Poverty," NBER Working Papers 29362, National Bureau of Economic Research, Inc.

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    More about this item

    JEL classification:

    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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