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ECONOMIC-DEMOGRAPHIC DEPENDENCY RATIO IN A LIFE-CYCLE MODEL

Published online by Cambridge University Press:  26 February 2019

Sau-Him P. Lau  and
Albert K. Tsui
Sau-Him P. Lau*
Affiliation:
University of Hong Kong
Albert K. Tsui
Affiliation:
National University of Singapore
*
Address correspondence to: Sau-Him P. Lau, Faculty of Business and Economics, University of Hong Kong, Hong Kong. e-mail: [email protected]. Phone: (852) 2857-8509. Fax: (852) 2548-1152.
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Abstract

The conventional dependency ratio based on cohort-invariant cutoff points could overstate the true burden of population aging. Using optimal cohort-varying years of schooling and retirement age in a life-cycle model, we propose a modified definition of dependency ratio. We compare the proposed economic-demographic dependency ratio (EDDR) with the conventional definition and find that the conventional dependency ratio of the USA is projected to increase by 0.105 from 2010 to 2060, which is an over-projection of 86% when compared with the projected increase of 0.015 in the EDDR over the same period. Sensitivity analysis suggests that our finding is quite robust to reasonable changes in parameter values (except for one parameter), and the magnitude of over-projection ranges mainly from 0.079 to 0.102 (i.e., 75% to 97%). We follow the well-established Lee–Carter model to forecast stochastic mortality and employ the method of expanding duration to decompose the sources of over-projection.

Keywords

Rapid Population AgingBehavioral ResponseEconomic-Demographic Dependency RatioConventional Dependency Ratio
Type
Articles
Information
Macroeconomic Dynamics , Volume 24 , Issue 7 , October 2020 , pp. 1635 - 1673
Copyright
© Cambridge University Press 2019

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Footnotes

We thank the University of Hong Kong (Project No. 104003954) for financial support. We are grateful to Kelvin Yuen for valuable research assistance, and to an anonymous referee and the participants of the Asian Meeting of the Econometric Society (Hong Kong), Annual Conference of the European Society for Population Economics (Glasgow) and 25th Annual Colloquium of Superannuation Researchers (Sydney) for useful comments.

References

Attanasio, O. P. and Weber, G. (1993) Consumption growth, the interest rate and aggregation. Review of Economic Studies 60, 631–649.CrossRefGoogle Scholar
Attanasio, O. P. and Weber, G. (2010) Consumption and saving: Models of intertemporal allocation and their implications for public policy. Journal of Economic Literature 48, 693–751.CrossRefGoogle Scholar
Barro, R. J., Mankiw, N. G. and Sala-i-Martin, X. (1995) Capital mobility in neoclassical models of growth. American Economic Review 85, 103–115.Google Scholar
Ben-Porath, Y. (1967) The production of human capital and the life cycle of earnings. Journal of Political Economy 75, 352–365.CrossRefGoogle Scholar
Bernheim, B. D., Skinner, J. and Weinberg, S. (2001) What accounts for the variation in retirement wealth among U.S. households? American Economic Review 91, 832–857.CrossRefGoogle Scholar
Bloom, D. E., Canning, D., Mansfield, R. K. and Moore, M. (2007) Demographic change, social security systems, and savings. Journal of Monetary Economics 54, 92–114.CrossRefGoogle ScholarPubMed
Bloom, D. E., Canning, D. and Moore, M. (2014) Optimal retirement with increasing longevity. Scandinavian Journal of Economics 116, 838–858.CrossRefGoogle ScholarPubMed
Booth, H., Hyndman, R. J., Tickle, L. and de Jong, P. (2006) Lee-Carter mortality forecasting: A multi-country comparison of variants and extensions. Demographic Research, 15, 289–310.CrossRefGoogle Scholar
Boucekkine, R., de la Croix, D. and Licandro, O. (2003) Early mortality declines at the dawn of modern growth. Scandinavian Journal of Economics 105, 401–418.CrossRefGoogle Scholar
Brown, R. L., Durbin, J. and Evans, J. M. (1975) Techniques for testing the constancy of regression relationships over time. Journal of the Royal Statistical Society, Series B (Methodological) 37, 149–192.CrossRefGoogle Scholar
Cai, Z. and Lau, S.-H. P. (2017) Impact of mortality reductions on years of schooling and expected lifetime labor supply. Journal of Mathematical Economics 72, 134–144.CrossRefGoogle Scholar
Cervellati, M. and Sunde, U. (2013) Life expectancy, schooling, and lifetime labor supply: Theory and evidence revisited. Econometrica 81, 2055–2086.Google Scholar
Chetty, R. (2006) A new method of estimating risk aversion. American Economic Review 96, 1821–1834.CrossRefGoogle Scholar
Clark, T. E. and West, K. D. (2007) Approximately normal tests for equal predictive accuracy in nested models. Journal of Econometrics 138(1), 291–311.CrossRefGoogle Scholar
Costa, D. L. (1998) The Evolution of Retirement. Chicago: University of Chicago Press.CrossRefGoogle Scholar
d’Albis, H., Lau, S.-H. P. and Sánchez-Romero, M. (2012) Mortality transition and differential incentives for early retirement. Journal of Economic Theory 147, 261–283.CrossRefGoogle Scholar
Galama, T., Kapteyn, A., Fonseca, R. and Michaud, P.-C. (2013) A health production model with endogenous retirement. Health Economics 22, 883–902.CrossRefGoogle ScholarPubMed
Goldin, C. and Katz, L. F. (2008) The Race Between Education and Technology. Cambridge, MA: Harvard University Press.Google Scholar
Gruber, J. and Wise, D. A. (1998) Social security and retirement: An international comparison. American Economic Review Papers and Proceedings 88(2), 158–163.Google Scholar
Hazan, M. (2009) Longevity and lifetime labor supply: Evidence and implications. Econometrica 77, 1829–1863.Google Scholar
Kalemli-Ozcan, S., Ryder, H. E. and Weil, D. N. (2000) Mortality decline, human capital investment, and economic growth. Journal of Development Economics 62, 1–23.CrossRefGoogle Scholar
Laitner, J. and Silverman, D. (2005) Estimating Life-cycle Parameters from Consumption Behavior at Retirement. National Bureau of Economic Research, Inc., NBER Working Paper: No. 11163.CrossRefGoogle Scholar
Lee, R. and Mason, A. (2011) Population Aging and the Generational Economy: A Global Perspective. Cheltenham, UK: Edward Elgar Publishing Limited.CrossRefGoogle Scholar
Lee, R. and Mason, A. (2013) Reformulating the Support Ratio to Reflect Asset Income and Transfers. Working Paper (Extended abstract for the Annual meeting of the Population Association of America, 2013).Google Scholar
Lee, R. and Miller, T. (2001) Evaluating the performance of the Lee-Carter method for forecasting mortality. Demography 38(4), 537–549.CrossRefGoogle ScholarPubMed
Lee, R. D. and Carter, L. R. (1992) Modeling and forecasting U.S. mortality. Journal of the American Statistical Association 87, 659–671.Google Scholar
Loichinger, E., Hammer, B., Prskawetz, A., Freiberger, M. and Sambt, J. (2017) Quantifying economic dependency. European Journal of Population 33, 351–380.CrossRefGoogle ScholarPubMed
Lutz, W., Sanderson, W. and Scherbov, S. (2008) The coming acceleration of global population ageing. Nature 451 (7 February 2008), 716–719.CrossRefGoogle ScholarPubMed
Maestas, N. and Zissimopoulos, J. (2010) How longer work lives ease the crunch of population aging. Journal of Economic Perspectives 24(1), 139–160.CrossRefGoogle ScholarPubMed
Manuelli, R. E., Seshadri, A. and Shin, Y. (2012) Lifetime Labor Supply and Human Capital Investment. Working Paper (Washington University St. Louis).CrossRefGoogle Scholar
Rapach, D. E., Strauss, J. K. and Wohar, M. E. (2008) Forecasting stock return volatility in the presence of structural breaks. In: Rapach, D. E. and Wohar, M. E. (eds.), Forecasting in the Presence of Structural Breaks and Model Uncertainty, pp. 381–416. Bingley, UK: Emerald Group Publishing Limited.CrossRefGoogle Scholar
Rogerson, R. and Wallenius, J. (2016) Retirement, home production and labor supply elasticities. Journal of Monetary Economics 78, 23–34.CrossRefGoogle Scholar
Sánchez-Romero, M., d’Albis, H. and Prskawetz, A. (2016) Education, lifetime labor supply, and longevity improvements. Journal of Economic Dynamics and Control 73, 118–141.CrossRefGoogle Scholar
Sanderson, W. C. and Scherbov, S. (2005) Average remaining lifetimes can increase as human populations age. Nature 435 (9 June 2005), 811–813.CrossRefGoogle ScholarPubMed
Sanderson, W. C. and Scherbov, S. (2010) Remeasuring aging. Science 329 (10 September 2010), 1287–1288.CrossRefGoogle ScholarPubMed
Sanderson, W. C. and Scherbov, S. (2015) Are we overly dependent on conventional dependency ratios? Population and Development Review 41(4), 687–708.CrossRefGoogle Scholar
Tuljapurkar, S., Li, N. and Boe, C. (2000) A universal pattern of mortality decline in the G7 countries. Nature, 405, 789–792.CrossRefGoogle ScholarPubMed
United Nations (2013) Probabilistic Population Projections based on the World Population Prospects: The 2012 Revision. http://esa.un.org/unpd/wpp/Excel-Data/population.htmGoogle Scholar
U.S. Bureau of Labor Statistics (2006) A new look at long-term labor force projections to 2050. Monthly Labor Review, November, 19–39.Google Scholar
U.S. Census Bureau (2003) 2003 Statistical Abstract: Mini-Historical Statistics, No. HS-13. https://www.census.gov/library/publications/2003/compendia/statab/123ed/hist.htmlGoogle Scholar
U.S. Census Bureau (2014) 2014 National Population Projections. https://www.census.gov/population/projections/files/summary/NP2014-T1.xlsGoogle Scholar
U.S. National Center for Health Statistics (2015a) National Vital Statistics Reports, Vol. 64, No. 1. http://www.cdc.gov/nchs/data/nvsr/nvsr64/nvsr64_01.pdfGoogle Scholar
U.S. National Center for Health Statistics (2015b) National Vital Statistics Reports, Vol. 64, No. 6. http://www.cdc.gov/nchs/data/nvsr/nvsr64/nvsr64_06.pdfGoogle Scholar
Vogel, E., Ludwig, A. and Börsch-Supan, A. (2017) Aging and pension reform: Extending the retirement age and human capital formation. Journal of Pension Economics and Finance 16, 81–107.CrossRefGoogle Scholar
Yaari, M. E. (1965) Uncertain lifetime, life insurance, and the theory of the consumer. Review of Economic Studies 32, 137–150.CrossRefGoogle Scholar