Introduction

The 2000 revisions in United Nations population projections predict that most of the developed nations will experience negative population growth rates in the 21st century, mainly due to declining fertility. Fertility rates in many countries are already below the replacement level of 2.1 births per woman. With falling fertility rates and rising life expectancy, the population of the world is expected to age more rapidly in the next 50 years than during the past half century. For example, the ratio of the elderly to the total population in all developed countries is projected to grow from 14.3 per cent in the year 2000 to 26.8 per cent by 2050. In Japan, the increase in the ratio of the elderly to the total population will be even more striking: the projected increase over the next five decades is from 17.2 per cent to 36.4 per cent. The dramatic nature of Japan's demographic shift relative to developed countries as a whole can be seen in visual terms in Figure 1, based on the revised UN projections.

Most developed countries main a public pension system in some form, . Pronounced population aging will put strong pressures on those systems. As is now widely understood, in most countries the benefit payments made to an increasing number of elderly retirees will have to be born by a relatively smaller number of nonelderly workers. A widespread expectation thus exists in political and administrative circles that population aging will pose significant challenges for policymakers in the decades to come.

A large literature devoted to demographic change has focused much of its attention on population aging and its effects on saving, investment and growth. From a policy perspective, the research has focused primarily on the increasing burdens that rising elderly dependency ratios could place on national budgets and pension systems and on the menu of possible options for reform. Either for simplicity or a lack of awareness, however, most studies have failed to focus on the full effects of declining fertility rates. Declining fertility not only raises elderly dependency ratios, but also reduces youth dependency ratios (Figure 1). The effects of projected demographic changes for both the short and the long run will thus ultimately depend on whether lower youth dependency (which lowers total dependency) or higher elderly dependency (which raises total dependency) will dominate. Which of the two dominates, and the timing and magnitude of the net effects, will determine whether population aging represents a severe or moderate challenge for current and future generations.

In a recent paper (Bryant, Faruqee and Velculescu (2001)), we concentrated on the analysis of youth dependency, explicitly incorporating children and child support into our theoretical framework and empirical model. We showed there that changes in youth dependency can have significant implications for the dynamic behavior of macroeconomic variables in both a closed- and open-economy context. In this paper, we build on our previous work by introducing a public pension system into our model, thereby accounting for transfers from working adults to both ends of the age distribution: child support transfers from parents to youths, and public-pension transfers to the elderly.

The merit of our revised approach in this paper is that it allows us to capture the economic effects of both the early and the latter stages of the aging process. Declining youth dependency, on the one hand, entails lower aggregate transfers to children for their support, freeing up resources for other uses, such as higher consumption per adult. Higher elderly dependency, on the other hand, reduces consumption per adult because the members of a relatively smaller labor force must provide for a larger number of retirees.

This paper contributes to the existing literature on demographic change in two ways. First, it analyzes the implications of population aging in an open-economy context, focusing on the cross border and global effects of lower fertility rates when a public pension system is operative in the economy. We examine the effects of alternative variants of public pension ("social security") systems on world saving, investment, exchange and interest rates, and the external-sector positions of individual countries. The variants include a government hands-off approach (no public pension system at all, so that individuals provide for old age entirely from their own savings) and alternative conventions by which the fiscal authorities set pension taxes, elderly benefits, and the management of imbalances between the two. Second, as mentioned above, our analytical framework explicitly incorporates children and child support as well as the elderly, and thus allows us to study the overall combined effects of changes in both youth and elderly dependency ratios. An analytical framework that accounts both for openness to the rest of the world and for declining child support due to lower youth dependency is likely to yield more robust conclusions about the net economic effects of population aging than models previously used in the literature.

Section 2 of the paper presents our theoretical framework, which is based on the Blanchard (1985)-Weil(1989)-Yaari(1965) model, modified to incorporate richer demographics, youth and elderly dependency, a child support mechanism, and a public pension system. Section 3 provides further details about the way in which the theoretical framework is incorporated into our two-region empirical model (an abridged version of the IMF staff's MULTIMOD). Section 4 presents simulation results with alternative pension arrangements but no child support for an illustrative population-aging shock, assumed to occur identically in all regions of the global economy (equivalent therefore to closed-economy analysis); this section builds intuition about the effects of various pension arrangements on domestic macroeconomic variables. Section 5 continues to exclude child support and explore the alternative pension arrangements but focuses on the crossborder effects of a demographic shock now assumed to occur asymmetrically in only one region of the world. Section 6 presents preliminary simulation results for the asymmetric, country-specific shock using the full capacities of the model to incorporate both child support and pension transfers to the elderly. Section 7 concludes and sketches future avenues for research.