In this study, reforms on childcare allowances and public pensions are examined in an extended lifecycle simulation model with endogenous fertility. A slight increase in family policies such as childcare allowances leads to increases in the total population but the magnitude of change is not large. As childcare allowances increase, however, the total population is cumulatively and progressively augmented, resulting in substantial growth in the total population and national income in the long run. Furthermore, from a long-term perspective, increases in childcare subsidies or decreases in public pension benefits are potentially Pareto-improving.
I am grateful for the insightful comments and suggestions of Professors Alan J. Auerbach, Ronald D. Lee and Emmanuel Saez (The University of California, Berkeley). In addition, I want to thank Associate Professor Yoshinari Nomura (Okayama University), who helped me in writing the computer program used for the simulations. Professors Toshihiro Ihori (GRIPS), Yasushi Iwamoto (The University of Tokyo), Akira Yakita (Nagoya City University), Chuanchuan Zhang (The Central University of Finance and Economics), and Hyun-Hoon Lee (Kangwon National University) kindly offered many useful comments. I also wish to express my appreciation to the Editor of this journal, Professor Johann Brunner (Johannes Kepler University Linz), and to the two anonymous referees, for providing numerous insightful and thoughtful comments. Finally, I wish to acknowledge the financial support of the Ministry of Education, Culture, Sports, Science and Technology in Japan (Grant-in-Aid for Scientific Research (C) No. 15K03514).
A Utility Maximization Problem
The first-order conditions on the number of children , consumption , leisure , and assets for can be expressed by
where = 1 for , for ,
The combination of eqs. (33) and (36) produces eqs. (9) and (10). If the initial value, , is given, the initial value, , can be derived from eq. (10). If the value, , is specified, the value of each age, , can be derived from eq. (9), which generates the value of each age, . If the value, , is specified, the childrearing cost for lifetime is calculated, which gives the lifetime budget constraint represented by eq. (42).
The combination of eqs. (34) and (36) produces eqs. (11) and (12). If the initial value, , is specified, the value of each age, , can be derived from eq. (11). If is specified, the values of consumption, , and leisure, , at each age are obtained in the method that follows.
If the value of is given under , the value of can be obtained using a numerical method, and then the value of can be derived from eq. (12). The value of is chosen so that the value of obtained in the simulation is the closest to that calculated by evolution from through eq. (11). If the value of chosen is unity or higher, the value of is obtained from eq. (12) under . If it is less than unity, the value of is derived from eq. (40).
For , the condition of leads to the following equation:
The value of is chosen to satisfy this equation.
From eq. (2) and the terminal condition , the lifetime budget constraint for an individual is derived:
where = 1 for , for .
Altig, D., A. J. Auerbach, L. J. Kotlikoff, K. A. Smetters, and J. Walliser. 2001. “Simulating Fundamental Tax Reform in the United States.” American Economic Review 91 (3): 574–95.Search in Google Scholar
Aoki, R., and R. Vaithianthan. 2009. “Is Demeny Voting the Answer to Low Fertility in Japan?” Discussion Paper Series No.435, June, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University (in Japanese).Search in Google Scholar
Auerbach, A. J., and L. J. Kotlikoff. 1983a. “National Savings, Economic Welfare, and the Structure of Taxation.” In Behavioral Simulation Methods in Tax Policy Analysis, edited by M. Feldstein, 459–93. Chicago: University of Chicago Press.Search in Google Scholar
Auerbach, A. J., and L. J. Kotlikoff. 1983b. “An Examination of Empirical Tests of Social Security and Savings.” In Social Policy Evaluation: An Economic Perspective, edited by E. Helpman, A. Razin, and E. Sadka, 161–79. New York: Academic.Search in Google Scholar
Auerbach, A. J., and L. J. Kotlikoff. 1987. Dynamic Fiscal Policy. Cambridge: Cambridge University Press.Search in Google Scholar
Auerbach, A. J., L. J. Kotlikoff, R. P. Hagemann, and G. Nicoletti. 1989. “The Economic Dynamics of an Aging Population: the Case of Four OECD Countries.” OECD Economic Studies 12: 97–130.Search in Google Scholar
Braun, R. A., D. Ikeda, and D. H. Joines (2005) “Saving and Interest Rates in Japan: Why They Have Fallen and Why They Will Remain Low,” CIRJE-F-328, March.Search in Google Scholar
Braun, R. A., D. Ikeda, and D. H. Joines. 2009. “The Saving Rate in Japan: Why It Has Fallen and Why It Will Remain Low.” International Economic Review 50 (1): 291–321.Search in Google Scholar
Choukhmane, T., N. Coeurdacier, and K. Jin. 2014. “The One-Child Policy and Household Savings,” mimeo.Search in Google Scholar
Fehr, H., S. Jokisch, and L. J. Kotlikoff. 2005. “The Developed World’s Demographic Transition – the Roles of Capital flows, immigration, and Policy.” In Social Security Reform, edited by R. Brooks, and A. Razin, 11–43. Cambridge, UK: Cambridge University Press.Search in Google Scholar
Fehr, H., S. Jokisch, and L. J. Kotlikoff. 2013. “The World’s Interconnected Demographic/fiscal Transition.” The Journal of the Economics of Ageing 1–2: 35–49.Search in Google Scholar
Feyrer, J., B. Sacerdote, and A. D. Stern. 2008. “Will the Stork Return to Europe and Japan? Understanding Fertility within Developed Nations.” Journal of Economic Perspective 22 (3): 3–22.Search in Google Scholar
Gauthier, A. 2007. “The Impact of Family Policies on Fertility in Industrialized Countries: A Review of the Literature.” Population Research and Policy Review 26 (3): 323–46.Search in Google Scholar
Hayashi, F., and E. C. Prescott. 2002. “The 1990s in Japan: A Lost Decade.” Review of Economic Dynamics 5 (1): 206–35.Search in Google Scholar
Heer, B., and A. Maußner. 2005. Dynamic General Equilibrium Modelling. Germany: Springer.Search in Google Scholar
Homma, M., N. Atoda, Y. Iwamoto, and F. Ohtake. 1987. “Pension: Aging Society and Pension Plan.” In Macroeconomic Analysis of the Japanese Economy, edited by K. Hamada, A. Horiuchi, and M. Kuroda, 149–75. Tokyo: University of Tokyo Press. in Japanese.Search in Google Scholar
Ihori, T., R. R. Kato, M. Kawade, and S. Bessho. 2006. “Public Debt and Economic Growth in an Aging Japan.” In Tackling Japan’s Fiscal Challenges: Strategies to Cope with High Public Debt and Population Aging, edited by K. Kaizuka, and A. O. Krueger, 30–68. London, UK: Palgrave Macmillan.Search in Google Scholar
Ihori, T., R. R. Kato, M. Kawade, and S. Bessho. 2011. “Health Insurance Reform and Economic Growth: Simulation Analysis in Japan.” Japan and the World Economy 23 (4): 227–39.Search in Google Scholar
Kato, R. 1998. “Transition to an Aging Japan: Public Pension, Savings, and Capital Taxation.” Journal of the Japanese and International Economies 12 (3): 204–31.Search in Google Scholar
Kitao, S. 2015. “Fiscal Cost of Demographic Transition in Japan.” Journal of Economic Dynamics and Control 54: 37–58.Search in Google Scholar
Malthus, T. R. 1798. An Essay on the Principle of Population. London: J. Johnson.Search in Google Scholar
Mason, A., and R. Lee. 2013. “Labor and Consumption Across the Lifecycle.” The Journal of the Economics of Ageing 1–2: 16–27.Search in Google Scholar
Nishiyama, S., and K. Smetters. 2005. “Consumption Taxes and Economic Efficiency with Idiosyncratic Wage Shocks.” Journal of Political Economy 113 (5): 1088–115.Search in Google Scholar
Oguro, K., and J. Takahata. 2013. “Child Benefits and Macroeconomic Simulation Analyses: An Overlapping-Generations Model with Endogenous Fertility.” Public Policy Review 9 (4): 633–59.Search in Google Scholar
Oguro, K., J. Takahata, and M. Shimasawa. 2011. “Child Benefit and Fiscal Burden: OLG Model with Endogenous Fertility.” Modern Economy 2 (4): 602–13.Search in Google Scholar
Okamoto, A. 2004. Tax Policy for Aging Societies: Lessons from Japan. Tokyo: Springer.Search in Google Scholar
Okamoto, A. 2005. “Simulating Progressive Expenditure Taxation in an Aging Japan.” Journal of Policy Modeling 27 (3): 309–25.Search in Google Scholar
Okamoto, A. 2013. “Welfare Analysis of Pension Reforms in an Ageing Japan.” Japanese Economic Review 64 (4): 452–83.Search in Google Scholar
Seidman, L. 1983. “Taxes in a Life Cycle Growth Model with Bequests and Inheritances.” American Economic Review 73 (3): 437–41.Search in Google Scholar
Tanaka, R., and R. Nakajima. 2012. “How Does Child Care Support Policy Affect Fertility Behavior?” In New Risks and Social Security: Construction of Support Measures through the Lifetime, Chapter 2, 35–51, edited by T. Ihori, Y. Kaneko, and H. Noguchi, University of Tokyo Press (in Japanese), Tokyo.Search in Google Scholar
van Groezen, B., T. Leers, and L. Meijdam. 2003. “Social Security and Endogenous Fertility: Pensions and Child Allowances as Siamese Twins.” Journal of Public Economics 87: 233–51.Search in Google Scholar
van Groezen, B., and L. Meijdam. 2008. “Growing Old and Staying Young: Population Policy in an Ageing Closed Economy.” Journal of Population Economics 21: 573–88.Search in Google Scholar
Wendner, R. 2001. “An Applied Dynamic General Equilibrium Model of Environmental Tax Reforms and Pension Policy.” Journal of Policy Modeling 23 (1): 309–25.Search in Google Scholar
Yamada, T. 2012. “Income risk, Macroeconomic and Demographic Change and Economic Inequality in Japan.” Journal of Economic Dynamics and Control 36: 63–84.Search in Google Scholar
Yashiro, N., and T. Oshio. 1999. “Social Security and Retirement in Japan.” In Social Security and Retirement around the World, edited by J. Gruber, and D. Wise, 239–67. Chicago, USA: The University of Chicago Press.Search in Google Scholar
Cabinet Office (2010a) “The Questionnaire Survey through the Internet for the Inspection and Evaluation of Countermeasures to the Falling Birthrate,” Cabinet Office Director-general for Policies on Cohesive Society, Japan (in Japanese). Search in Google Scholar
Cabinet Office (2010b) “The Questionnaire Survey through the Internet for the Child-rearing Cost,” Cabinet Office Director-general for Policies on Cohesive Society, Japan (in Japanese). Search in Google Scholar
Cabinet Office (2012) “The Questionnaire Survey for the Inspection and Evaluation of the Child and Child-rearing Vision,” Cabinet Office Director-general for Policies on Cohesive Society, Japan (in Japanese). Search in Google Scholar
Cabinet Office (2015) “National Accounts Statistics: GDP Statistics,” Search in Google Scholar
Ministry of Finance (2013) Let’s Learn More About Taxes, July.Search in Google Scholar
Ministry of Internal Affairs and Communications (2015a) “Estimation of the Population (As of October 1, 2014),” (in Japanese).Search in Google Scholar
Ministry of Internal Affairs and Communications (2015b) “Labour force and labour force participation rate by age group: Whole Japan,” (in Japanese).Search in Google Scholar
National Institute of Population and Social Security Research (2012) Population Projections for Japan: 2011–2110 (Estimation in January, 2012), Japan (in Japanese).Search in Google Scholar
OECD (2015) OECD Family Database, OECD, Paris. .Search in Google Scholar
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