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Education, lifetime labor supply, and longevity improvements. (English) Zbl 1401.91232

Summary: This paper presents an analysis of the differential role of mortality for the optimal schooling and retirement age when the accumulation of human capital follows the so-called “Ben-Porath mechanism”. We set up a life-cycle model of consumption and labor supply at the extensive margin that allows for endogenous human capital formation. This paper makes two important contributions. First, we provide the conditions under which a decrease in mortality leads to a longer education period and an earlier retirement age. Second, those conditions are decomposed into a Ben-Porath mechanism and a lifetime-human wealth effect vs. the years-to-consume effect. Finally, using US and Swedish data for cohorts born between 1890 and 2000, we show that our model can match the empirical evidence.

MSC:

91B40 Labor market, contracts (MSC2010)
91B64 Macroeconomic theory (monetary models, models of taxation)

Software:

Human Mortality

References:

[1] Arriaga, E., Measuring and explaining the change in life expectancies, Demography, 21, 1, 83-96, (1984)
[2] Barro, R. J.; Lee, J. W., A new data set of educational attainment in the world, 1950-2010, J. Dev. Econ., 104, 184-198, (2013)
[3] Bell, F.C., Wade, A.H., Goss, S.C., 1992. Life Tables for the United States Social Security Area. Actuarial Study No. 107, SSA Pub. No. 11-11536.
[4] Belley, P.; Lochner, L., The changing role of family income and ability in determining educational achievement, J. Human Cap., 1, 1, 37-89, (2007)
[5] Benavot, A.; Riddle, P., The expansion of primary education, 1870-1940trends and issues, Sociol. Educ., 61, 3, 191-210, (1988)
[6] Ben-Porath, Y., The production of human capital and the life cycle of earnings, J. Polit. Econ., 75, 4, 352-365, (1967)
[7] Bils, M.; Klenow, J. P., Does schooling cause growth?, Am. Econ. Rev., 90, 5, 1160-1183, (2000)
[8] Boucekkine, R.; de la Croix, D.; Licandro, O., Vintage human capital, demographic trends, and endogenous growth, J. Econ. Theory, 104, 340-375, (2002) · Zbl 1015.91042
[9] Boucekkine, R.; de la Croix, D.; Peeters, D., Early literacy achievements, population density and the transition to modern growth, J. Eur. Econ. Assoc., 5, 183-226, (2007)
[10] Cai, Z., Lau, S.-H.P., 2012. Does Longevity Improvement Always Raise the Length of Schooling Through the Longer-Horizon Mechanism? Society for Economic Dynamics, 2013 Meeting Papers, No. 292.
[11] Card, D., 1999. The causal effect of education on earnings. In: Orley C. Ashenfelter, David Card (Eds.), Handbook of Labor Economics, vol. 3. Elsevier, Amsterdam.
[12] Card, D., Estimating the return to educationprogress on some persistent economic problems, Econometrica, 69, 5, 1127-1160, (2001)
[13] Carneiro, P. M.; Heckman, J. J., The evidence on credit constraints in post-secondary schooling, Econ. J., 112, 482, 705-734, (2002)
[14] Carneiro, P.M., Heckman, J.J., 2003. Human Capital Policy. Working Paper No. 9495, National Bureau of Economic Research, Cambridge, MA.
[15] Carneiro, P., Hansen, K.T., Heckman, J.J., 2003. 2001 Lawrence R. Klein lecture estimating distributions of treatment effects with an application to the returns to education and measurement of the effects of uncertainty on college choice. Int. Econ. Rev. 44(2), 631-422.
[16] Cervellati, M.; Sunde, U., Human capital formation, life expectancy, and the process of development, Am. Econ. Rev., 95, 1653-1672, (2005)
[17] Cervellati, M.; Sunde, U., Life expectancy, schooling, and lifetime labor supplytheory and evidence revisited, Econometrica, 81, 5, 2055-2086, (2013) · Zbl 1290.91140
[18] Cippolla, C., Literacy and development in the west, (1969), Penguin Books Baltimore
[19] Costa, Dora L., 1998. The evolution of retirement. In: The Evolution of Retirement: An American Economic History, 1880-1990. University of Chicago Press, pp. 6-31, London.
[20] Cunha, F.; Heckman, J.; Navarro, S., Separating uncertainty from heterogeneity in life cycle earnings, Oxford Econ. Pap., 57, 2, 191-261, (2005)
[21] Cutler, D.; Deaton, A.; Lleras-Muney, A., The determinant of mortality, J. Econ. Perspect., 20, 3, 97-120, (2006)
[22] d׳Albis, H.; Augeraud-Véron, E., Endogenous retirement and monetary cycles, Math. Popul. Stud., 15, 214-229, (2008) · Zbl 1155.91434
[23] d׳Albis, H.; Lau, S.-H. P.; Sanchez-Romero, M., Mortality transition and differential incentives for early retirement, J. Econ. Theory, 147, 1, 261-283, (2012) · Zbl 1258.91184
[24] de la Croix, D., 2015. Did Longer Lives Buy Economic Growth? From Malthus to Lucas and Ben-Porath. Discussion Papers (IRES—Institut de Recherches Economiques et Sociales).
[25] de la Croix, D.; Licandro, O., Life expectancy and endogenous growth, Econ. Lett., 65, 255-263, (1999) · Zbl 1037.91569
[26] de la Croix, D.; Lindh, T.; Malmberg, B., Swedish economic growth and education Since 1800, Can. J. Econ., 41, 1, 166-185, (2008)
[27] Echevarria, C. A., Life expectancy, schooling time, retirement, and growth, Econ. Inquiry, 42, 4, 602-617, (2004)
[28] Echevarria, C. A.; Iza, A., Life expectancy, human capital, social security and growth, J. Public Econ., 90, 2323-2349, (2006)
[29] Ferreira, P. C.; Pessoa, S. A., The effects of longevity and distortions on education and retirement, Rev. Econ. Dyn., 10, 3, 472-493, (2007)
[30] Haines, M. R., Estimated life table for the united states 1850-1910, Hist. Methods, 31, 149-167, (1998)
[31] Hazan, M.; Zoabi, H., Does longevity cause growth? A theoretical critique, J. Econ. Growth, 11, 4, 363-376, (2006) · Zbl 1274.91310
[32] Hazan, M., Longevity and lifetime labor supplyevidence and implications, Econometrica, 77, 6, 1829-1863, (2009) · Zbl 1182.91144
[33] Heckman, J. J.; Lochner, L. J.; Taber, C., Explaining rising wage inequalityexplorations with a dynamic general equilibrium model of labor earnings with heterogeneous agents, Rev. Econ. Dyn., 1, 1-58, (1998)
[34] Heckman, J.J., Lochner, L.J., Todd, P.E., 2006. Earnings functions, rates of return and treatment effects: the Mincer equation and beyond. In: Eric A. Hanushek, Finis Welch (Eds.), Handbook of the Economics of Education, vol. 1. Elsevier.
[35] Heckman, J. J.; Lochner, L. J.; Todd, P. E., Earnings functions and rates of return, J. Human Cap., 2, 1, 1-31, (2008)
[36] Heijdra, B. J.; Romp, W. E., Retirement, pensions, and ageing, J. Public Econ., 93, 586-604, (2009)
[37] Holmlund, B., The swedish unemployment experience, Oxford Rev. Econ. Policy, 25, 1, 109-125, (2009)
[38] Human Mortality Database, 2013. University of California, Berkeley (USA), and Max Planck Institute for Demography Research (Germany). Available at 〈http://www.mortality.org〉 or 〈http://www.humanmortality.de〉(accessed February 2013).
[39] İmrohoroğlu, S.; Kitao, S., Labor supply elasticity and social security reform, J. Public Econ., 93, 867-878, (2009)
[40] Jayachandran, S.; Lleras-Muney, A., Life expectancy and human capital investmentsevidence from maternal mortality declines, Q. J. Econ., 124, 1, 349-397, (2009)
[41] Kalemli-Ozcan, S.; Weil, D., Mortality change, the uncertainty effect, and retirement, J. Econ. Growth, 15, 1, 65-91, (2010) · Zbl 1202.91283
[42] Kalemli-Ozcan, S.; Ryder, H. E.; Weil, D. N., Mortality decline, human capital investment, and economic growth, J. Dev. Econ., 62, 1-23, (2000)
[43] Keane, M. P., Labor supply and taxesa survey, J. Econ. Lit., 49, 4, 961-1075, (2011)
[44] Lee, R. D., The formal demography of population aging, transfers, and the economic life cycle, (Samuel, H. Preston; Linda, G. Martin, Demography of Aging, (1994), National Academy Press Washington, DC)
[45] Lee, R., The demographic transitionthree centuries of fundamental change, J. Econ. Perspect., 17, 4, 167-190, (2003)
[46] Lee, R. D.; Carter, L. R., Modeling and forecasting U.S. mortality, J. Am. Stat. Assoc., 87, 419, 659-671, (1992) · Zbl 1351.62186
[47] Ljungqvist, L.; Sargent, T. J., The swedish unemployment experience, Eur. Econ. Rev., 39, 5, 1043-1070, (1995)
[48] OECD, 2009. Society at a Glance 2009: OECD Social Indicators. OECD Publishing.
[49] Oeppen, J.; Vaupel, J. W., Broken limits to life expectancy, Science, 296, 5570, 1029-1031, (2002)
[50] Oreopoulos, P., Do dropouts drop too soon? wealth, health and happiness from compulsory schooling, J. Public Econ., 91, 11, 2213-2229, (2007)
[51] Oreopoulos, P.; Salvanes, K. G., Pricelessthe nonpecuniary benefits of schooling, J. Econ. Perspect., 25, 1, 159-184, (2011)
[52] Oster, E.; Shoulson, I.; Dorsey, E., Limited life expectancy, human capital and health investments, Am. Econ. Rev., 103, 5, 1977-2002, (2013)
[53] Palme, J., Features of the swedish pension reform, Jpn. J. Soc. Secur. Policy, 4, 1, 42-53, (2005)
[54] Restuccia, D.; Vandenbroucke, G., A century of human capital and hours, Econ. Inquiry, 51, 3, 1849-1866, (2013)
[55] Ryder, H. E.; Heal, G. M., Optimal growth with intertemporally dependent preferences, Rev. Econ. Stud., 40, 1, 1-31, (1973) · Zbl 0261.90007
[56] Sheshinski, E., A model of social security and retirement decisions, J. Public Econ., 10, 3, 337-360, (1978)
[57] Schieber, S. J.; Shoven, J. B., The real deal: the history and future of social security, (1999), Yale University Press London
[58] Soares, R. R., Mortality reductions, educational attainment, and fertility choice, Am. Econ. Rev., 95, 3, 580-601, (2005)
[59] Strulik, H., Werner, K., 2012. Life Expectancy, Labor Supply, and Long-Run Growth: Reconciling Theory and Evidence, University of Goettingen, Cege Discussion Paper 140.
[60] Willis, R.J., 1986. Wage determinants: A survey and reinterpretation of human capital earnings functions. In: Orley Ashenfelter, Richard Layard (Eds.), Handbook of Labor Economics, vol. 1, Elsevier, Amsterdam.
[61] Wilmoth, J. R.; Horiuchi, S., Rectangularization revisitedvariability of age at death within human populations, Demography, 36, 475-495, (1999)
[62] Yaari, M. E., Uncertain lifetime, life insurance, and the theory of the consumer, Rev. Econ. Stud., 32, 2, 137-150, (1965)
[63] Zhang, J.; Zhang, J., The effect of life expectancy on fertility, saving, schooling and economic growththeory and evidence, Scand. J. Econ., 107, 1, 45-66, (2005)
[64] Zhang, J.; Zhang, J., Longevity, retirement, and capital accumulation in a recursive model with an application to mandatory retirement, Macroecon. Dyn., 13, 3, 327-348, (2009) · Zbl 1170.91403
[65] Zhang, J.; Zhang, J.; Lee, R., Mortality decline and long-run economic growth, J. Public Econ., 80, 3, 485-507, (2001)
[66] Zhang, J.; Zhang, J.; Lee, R., Rising longevity, education, savings, and growth, J. Dev. Econ., 70, 1, 83-101, (2003)
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