Fertility choice and economic growth: Empirical evidence from the U.S.

This paper provides empirical evidence to support the proposition of Barro and Becker [1989] that fertility depends positively on the world's long-term real interest rates and negatively on real wages in an economy linked to an international capital market. The empirical evidence suggests that there is no long-run relationship among fertility choice, real wages, long-term real interest rates, and output growth in the U.S. over the period 1960–95. However, when estimating a VAR model and employing the variance decomposition analysis and the impulse response functions, the empirical results support the endogeneity of fertility choice and the proposition that real wages, long-term real interest rates, and output growth is related to changes in fertility choice. The empirical results have important policy implications and provide an explanation for the decline of fertility in Western countries mainly in the last three decades.The views expressed in this paper are those of the authors and not those of the Bank of Greece.     

COMPLEMENTS VERSUS SUBSTITUTES AND TRENDS IN FERTILITY CHOICE IN DYNASTIC MODELS*

Demographers emphasize decreased mortality and “economic development” as the main contributors generating the demographic transition. Contrary to previous findings, we show that simple dynastic models à la Barro–Becker can reproduce observed changes in fertility in response to decreased mortality and increased productivity growth if the intertemporal elasticity of substitution is low enough. We show that this is largely due to number and welfare of children being substitutes in the utility of parents in this case. We find that with an IES of one‐third, model predictions of changes in fertility amount to two‐thirds of those observed in U.S. data since 1800.     

Endogenous population with human and physical capital accumulation

This paper proposes an economic growth model with population growth and physical and human capital accumulation. The physical capital accumulation is built on the Solow growth model (Solow in Q J Econ 70:65–94, 1956). The education and human capital accumulation is influenced by the Uzawa–Lucas model (Uzawa in Int Econ Rev 6:18–31, 1965; Lucas in J Monet Econ 22:3–42, 1988). The population dynamics are influenced by the Haavelmo population model (Haavelmo in a study in the theory of economic evolution. Haavelmo, Amsterdam, 1954) and the Barro–Becker fertility choice model (Barro and Becker in Econometrica 57:481–501, 1989). We synthesize these dynamic forces in a compact framework, applying an alternative utility function proposed by Zhang (Econ Lett 42:105–110, 1993). The model describes a dynamic interdependence between population change, wealth accumulation, human capital accumulation, and division of labor. We simulate the model to demonstrate the existence of equilibrium points and to plot the motion of the dynamic system. We also examine the effects of changes in the propensity to have children, the mortality rate parameter, the propensity to receive education, the human capital utilization efficiency, and the mortality rate elasticity of human capital upon dynamic paths of the system.     

Fertility,human capital and the wealth of families

Summary An overlapping generations model with parental altruism is examined. The existence of the optimal value function in a model with an endogenous discount rate is proven. Two development regimes are produced: a high fertility, low income and no growth steady state, and a perpetual growth equilibrium with low fertility and rising income.This paper is adapted from my dissertation. I would like to thank the members of my dissertation committee for helpful comments and suggestions, Messrs, Gary S. Becker, Robert E. Lucas, Jr., Kevin M. Murphy and Sherwin Rosen. I'd like to thank Brooks Pierce, Paul Romer, Ken Judd, Beth Ingram, Ed Prescott and Fernando Alvarez. I also thank the workshop participants of the University of Chicago, University of Pennsylvania, University of Toronto, University of Rochester, University of Washington, Penn State University, University at Buffalo, SUNY, Columbia University and University of Iowa.     

The economic analysis of offender’s choice: Old and new insights

The economics of crime has followed the basic Becker model (1968), according to which a criminal act results from a rational decision based on cost-benefit analysis. This paper surveys some extensions to Becker’s model, by giving some emphasis to earlier work that tries to explain differences in offender’s choice across places. At the end, the paper analyses the contribution of Steven Levitt (the new Gary Becker), which has stimulated an empirical renaissance in the economic analysis of crime. His new book (co-author Dubner) Freakonomics (2005) offers a new argument in understanding why crime fell in the 1990s in the USA. I am very grateful to an anonymous referee for his valuable comments, which improved the final version of this paper. I would also like to thank Steven Levitt for sending me his unpublished work. The usual disclaimer applies.     

Renewable resources,property-rights regimes and endogenous growth

We extend Brander and Taylor's [Brander, J.A., Taylor, M.S., 1998. The simple economics of Easter Island: a Ricardo-Malthus model of renewable resource use. Am. Econ. Rev. 88, 119–138.] model of feast and famine cycles on Easter Island using Galor and Weil's [Gailor, O., Weil, D.N., 2000. Population, technology and growth: from Malthusian stagnation to the demographic transition and beyond, Am. Econ. Rev. 90, 806–28] model of endogenous technological advance, where technological change is related to the population. We note that different property-rights regimes will influence the relative direction of technological advance—whether that advance is in harvesting technologies or in technologies that influence the growth rate of some renewable biological resource. Property-rights regimes that favor biological growth rates over harvest rates tend to dampen feast–famine cycles, while those that favor harvest efficiency worsen such cycles.     

Population ageing,time allocation and human capital: A general equilibrium analysis for Canada

This study explores the long-term impact of population ageing on labour supply and human capital investment in Canada, as well as the induced effects on productive capacity. The analysis is conducted with a dynamic computable overlapping generations model where in the spirit of Becker [Becker, Gary (1965), A theory of the allocation of time, The Economic Journal, Vol. 75, pp. 493–517.] and Heckman [Heckman, James (1976), A life-cycle model of earnings, learning and consumption, The Quarterly Journal of Economics, Vol. 84, pp. 511–544], leisure has a quality-time feature and labour supply and human capital investment decisions are endogenous. The role of human capital in the growth process is based on the framework used by Mankiw et al. [Mankiw, N. Gregory, Romer, David and Weil, David N. (1992), A contribution to the empirics of economic growth, Quarterly Journal of Economics, Vol. 107, no. 2, pp. 407–437]. The paper indicates that population ageing creates more opportunities for young individuals to invest in human capital and supply more skilled labour at middle age. Consequently, the reduction in labour supply of young adults initially lowers productive capacity and exacerbates the economic costs of population ageing. However, current and future middle-age cohorts are more skilled and work more, which eventually raises productive capacity and significantly lowers the cost of population ageing. Finally, these results suggest that the recent increase in the participation rate of older workers might be the beginning of a new trend that will amplify over the next decades.     

Economic growth and endogenous intergenerational altruism

The recent literature on the endogenous formation of preferences has emphasized that while some preferences are more conducive to growth than others, economic growth also contributes to the formation of particular tastes [Becker, Gary S. (1996): Accounting for Tastes, Cambridge, Ma.: Harvard University Press]. In this paper, we construct a neoclassical growth model where intergenerational altruism can be endogenously reinforced and entails costly sacrifices on the part of parents to acquire such trait. While the incentives to acquire altruistic traits depend on the economic conditions, in turn altruism determines the level of intergenerational bequests and ultimately the pace of capital accumulation and economic growth. It is shown that intergenerational transfers are driven by a natural degree of altruism at earlier stages of economic growth. Once individuals have satisfied their own physiological constraint in the course of economic development, they devote resources to shaping their altruistic preferences, increasing their social degree of altruism above its natural level. This in turn increases the share of intergenerational transfers and speeds up economic growth.     

Inflation and growth: new evidence from a dynamic panel threshold analysis

We introduce a dynamic panel threshold model to estimate inflation thresholds for long-term economic growth. Advancing on Hansen (J Econom 93:345–368, 1999) and Caner and Hansen (Econom Theory 20:813–843, 2004), our model allows the estimation of threshold effects with panel data even in case of endogenous regressors. The empirical analysis is based on a large panel-dataset including 124 countries. For industrialized countries, our results confirm the inflation targets of about 2% set by many central banks. For non-industrialized countries, we estimate that inflation rates exceeding 17% are associated with lower economic growth. Below this threshold, however, the correlation remains insignificant.     

War finance and the baby boom

In this paper, I extend the Barro–Becker model of endogenous fertility to incorporate specific fiscal policies and use it to study the effects of the fiscal policy changes following WWII on fertility in the United States. The US government went through large changes in fiscal policy after the beginning of WWII. The marginal income tax rate for an average American jumped from 4% on average before 1940 to approximately 25% during the war and stayed around 20% afterwards. The government debt–GDP ratio jumped from approximately 30% on average before WWII to 108% in 1946 and then dropped gradually in the following two decades to about 30% again at the end of 1960s. I find that the dramatic increase in the marginal income tax rate was an important cause of the postwar baby boom in the US because it lowered the after-tax wage and thus the opportunity cost of child-rearing. I also find that the differential change in taxes by income was an important reason why the baby boom was more pronounced among richer households (as documented by Jones and Tertilt, 2008). Furthermore, I argue that the government's debt policy may also matter for understanding fertility choices because government debt implies a tax burden on children in the future and thus affects their utility, which is a key determinant of current fertility choice in the Barro–Becker model. The results of a computational experiment show that the US government's postwar debt policy also contributed to the baby boom, but its quantitative importance is relatively small.     

The rise of service employment and its impact on aggregate productivity growth

This paper investigates how the employment shift from manufacturing toward service sectors affects the rate of economic growth when services play their role both in intermediate and in final demand. Our model includes as a special case both Baumol’s [Baumol, W.J., 1967. Macroeconomics of unbalanced growth: the anatomy of urban crisis. American Economic Review 57 (3), 415–426] model, in which services are produced only for final consumption, and Oulton’s [Oulton, N., 2001. Must the growth rate decline? Baumol’s unbalanced growth revisited. Oxford Economic Papers 53 (4), 605–627] model, in which services are entirely devoted to intermediate demand. We show that, given that the growth rate of productivity in the service sector is lower than that in the manufacturing sector, both the employment share in manufacturing and the rate of economic growth will decline in the long run irrespective of the size of the elasticity of substitution between labor and service input.     

Demographic change and economic growth: Theory and evidence from China

The paper tests the impact of demographic change on China's economic growth by using 1983–2008 provincial panel data. The deducted result of the theoretical model shows that the share of working-age population is positively correlated with economic growth, whereas birth rate has an adverse impact. Empirical results substantiate the finding. Due to the decrease of birth rate and the increase of the share of the working-age population, China's average annual per capita GDP growth rate increased 1.19 and 0.73 percentage points during the sample period. The contribution of these two demographic changes contributed to 19.5% of the economic growth together.     

制度主导、要素贡献和我国经济增长动力的分类检验

本文依据我国市场化和产权制度改革特征,结合罗默(1999)和巴罗等(2000)的模型及演绎逻辑,将制度引入增长模型诠释要素发展和经济增长关系。数理分析表明,制度越完善,经济增长就越表现为人力资本和技术进步的发展。制度越不完善,经济增长就越受限于制度的发展。利用对数线性模型,将产权制度以直接或与资本相结合形式进入模型,分类检验资本、技术进步、制度、贸易、金融和地域与经济增长的作用关系。OLS和GMM估计结果显示,物质资本、人力资本和产权制度对我国经济增长的解释更具效力,省际面板数据的稳健性检验也印证了上述结论。本文指出,制度不仅直接作用于经济增长,而且还通过影响生产要素投入和配置效率来促进经济增长,即物质资本和人力资本作用包含制度贡献,产权制度是我国现阶段经济增长的最主要动力。     

Inflation,openness, and exchange-rate regimes: The quest for short-term commitment

This paper further tests Romer's [Romer, D., 1993. Openness and inflation: theory and evidence. Quarterly Journal of Economics 58, 869–903] extension of Kydland and Prescott's [Kydland, F., Prescott, E., 1977. Rules rather than discretion: the inconsistency of optimal plans. Journal of Political Economy 85, 473–491] predictions for dynamic inconsistency problems in open economies. In a panel data set of developed and developing countries from 1973 to 1998, I find that openness does not play a role in restricting inflation in the short run. On the other hand, a fixed exchange-rate regime plays a significant role. The results are robust to controlling for other variables that determine inflation, performing sensitivity analysis, and using a de facto exchange-rate regime classification.     

Development Dynamics: Economic Integration and the Demographic Transition

This paper examines the influence of economic integration—widening of the trading area—on economic development and the demographic transition. Economies produce with different technologies depending on their scale. Greater integration between regions (greater extensive scale) is instrumental in changing rates of return, which generates an industrial revolution and provokes changes in child bearing behavior. The demographic transition follows from the mortality response to income and birth response to greater scale. The model is calibrated and simulated using historical data from Europe. Historical evidence is cited to support the idea that integration precedes the dramatic rise in economic growth rates.     

Doubts or variability?

Reinterpreting most of the market price of risk as a price of model uncertainty eradicates a link between asset prices and measures of the welfare costs of aggregate fluctuations that was proposed by Hansen, Sargent, and Tallarini [17], Tallarini [30], Alvarez and Jermann [1]. Prices of model uncertainty contain information about the benefits of removing model uncertainty, not the consumption fluctuations that Lucas [22] and [23] studied. A max-min expected utility theory lets us reinterpret Tallarini's risk-aversion parameter as measuring a representative consumer's doubts about the model specification. We use model detection instead of risk-aversion experiments to calibrate that parameter. Plausible values of detection error probabilities give prices of model uncertainty that approach the Hansen and Jagannathan [11] bounds. Fixed detection error probabilities give rise to virtually identical asset prices as well as virtually identical costs of model uncertainty for Tallarini's two models of consumption growth.     

Growth, welfare and transitional dynamics in an endogenously growing economy with abatement labor

This paper sets up a simple endogenous growth model that highlights the importance of the endogenous labor-leisure choice and the allocation between production labor and abatement labor. We show that, in contrast to the common notion (e.g. [Bovenberg, A.L., Smulders, S., 1996. Transitional impacts of environmental policy in an endogenous growth model. International Economic Review 37, 861–893] and [Bovenberg, A.L., de Mooij, R.A., 1997. Environmental tax reform and endogenous growth. Journal of Public Economics 63, 207–237]), the existence of an environmental production externality is a sufficient (but not necessary) condition for environmental policies to stimulate economic growth if the labor-leisure choice is endogenously determined. In particular, since there are complementarities between public abatement and private abatement, the public abatement expenditure will have a more powerful enhancing effect on economic growth when it is accompanied by more efficient private abatement. This result also leads to a corollary to the effect that it is easier to achieve double dividends in terms of enhancing both growth and welfare if the endogenous labor-leisure choice is taken into account.In our dynamic analysis, we show that if public abatement is substantially large, dynamic indeterminacy may occur despite the absence of a positive labor externality and interestingly, this is more likely to be the case when abatement labor plays a more significant role. Besides, the transitional effects of an increase in public abatement are also investigated.     

CRIME,DETERRENCE AND UNEMPLOYMENT IN ENGLAND AND WALES: AN EMPIRICAL ANALYSIS*

This paper uses aggregate data from 42 police-force areas over 12 years to test predictions of Becker's economic model of crime. The effects of measures for deterrence on the incidence of three types of acquisitive criminal activity (burglary, theft, robbery) in England and Wales are explored. Mixed support for the Becker model emerges. The growth in unemployment is seen to impact positively on two of the three types of criminal activity examined. Per capita household income is seen to have a negative effect on the recorded rates of burglary and theft, but there is some evidence that the income variable is a proxy for the effects of unemployment. Poor housing conditions and the relative youth of the population were also found to play a role in the determination of criminal activity.     

The business cycle with nominal contracts

Summary In this paper we study the quantitative implications of nominal wage contracts for business cycle fluctuations. We address this issue using a model economy based on the neoclassical growth model supplemented by the assumption that cash is needed to purchase goods. We consider a variation of the standard recursive competitive equilibrium concept that is intended to capture the important features of wage contracting. We use this equilibrium construct to address three issues. First, we consider whether monetary shocks, propagated by nominal contracts, constitute a viable alternative to technology shocks as a source of aggregate fluctuations. Our results suggest that, while monetary shocks and nominal rigidities succeed in causing output volatility of the required magnitude, the resulting data have properties that are inconsistent with several key features of U.S. data. Second, we consider how the behavior of the economy varies with contract length. We find that the volatility induced by both monetary and technology shocks increases sharply with contract length. Finally we consider how much rigidity would be necessary to match the volatility of U.S. output. We find that only a very small amount of rigidity would be necessary to cause output volatility of the magnitude observed.We have received helpful comments from David Chapman, Paul Gomme, Jeremy Greenwood, Gary Hansen, Michael Keane, Tim Kehoe, Lee Ohanian, Edward Prescott, and Warren Weber. The usual disclaimer applies. This research is supported in part by NSF Grant SES-8921346 and the John M. Olin Foundation.