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Projected demographic changes in industrialized and developing countries vary in extent and timing but will reduce the share of the population in working age everywhere. Conventional wisdom suggests that this will increase capital intensity with falling rates of return to capital and increasing wages. This decreases welfare for middle aged asset rich households. This paper takes the perspective of the three demographically oldest European nations — France, Germany and Italy — to address three important adjustment channels to dampen these detrimental effects of aging in these countries: investing abroad, endogenous human capital formation and increasing the retirement age. Our quantitative finding is that endogenous human capital formation in combination with an increase in the retirement age has strong implications for economic aggregates and welfare, in particular in the open economy. These adjustments reduce the maximum welfare losses of demographic change for households alive in 2010 by about 2.2 percentage points in terms of a consumption equivalent variation.
This paper investigates extensions of the method of endogenous gridpoints (ENDGM) introduced by Carroll (2006) to higher dimensions with more than one continuous endogenous state variable. We compare three different categories of algorithms: (i) the conventional method with exogenous grids (EXOGM), (ii) the pure method of endogenous gridpoints (ENDGM) and (iii) a hybrid method (HYBGM). ENDGM comes along with Delaunay interpolation on irregular grids. Comparison of methods is done by evaluating speed and accuracy. We find that HYBGM and ENDGM both dominate EXOGM. In an infinite horizon model, ENDGM also always dominates HYBGM. In a finite horizon model, the choice between HYBGM and ENDGM depends on the number of gridpoints in each dimension. With less than 150 gridpoints in each dimension ENDGM is faster than HYBGM, and vice versa. For a standard choice of 25 to 50 gridpoints in each dimension, ENDGM is 1.4 to 1.7 times faster than HYBGM in the finite horizon version and 2.4 to 2.5 times faster in the infinite horizon version of the model.
Die aktuelle Diskussion über eine Reform der gesetzlichen Rentenversicherung vermischt Fragen nach dem durchschnittlichen Rentenniveau mit Fragen der Umverteilung von Einkommen im Ruhestand zur Bekämpfung einer etwaigen Altersarmut. Dieser Beitrag kritisiert diesen Ansatz und befasst sich mit fünf Kernaussagen: (1) Die aktuell gültige Rentenformel darf unter keinen Umständen abgeschafft werden. (2) Das Renteneintrittsalter sollte an die durchschnittliche Restlebenserwartung nach dem Erreichen des 65. Lebensjahres gekoppelt werden. (3) Eine Integration der Flüchtlinge in den Arbeitsmarkt wird das Rentenniveau in den Jahren 2030 bis 2040 stützen. (4) Sollte trotz allem die Altersarmut steigen, so kann dem durch die Einführung einer Mindestrente begegnet werden. (5) Die private Altersvorsorge muss weiter gestützt werden.
Im Nachgang der Finanz- und Wirtschaftskrise beobachten wir derzeit sehr niedrige Renditen im „sicheren“ Anlagebereich auf dem Geldmarkt und für Staatsanleihen. Gleichzeitig sind Aktienkurse massiv gestiegen und zeichnen sich seit Beginn 2015 durch eine Seitwärtsbewegung aus. Die Ursachen für diese Entwicklung sind teilweise bekannt: Niedrige Zinssätze aufgrund einer expansiven Geldpolitik gepaart mit hoher Unsicherheit an den Märkten reduzieren die Auswahl attraktiver Kapitalanlagemöglichkeiten erheblich. Doch wie wird sich die langfristige Entwicklung gestalten, wenn oder falls die Wirkungen der jüngsten Finanz- und Wirtschaftskrise nachlassen? Gibt es einen langfristigen Trend? Spiegelt sich dieser Trend etwa bereits heute in den niedrigen Renditen wider?
Vor mehr als einem Jahrzehnt, also bereits einige Jahre vor der jüngsten Finanz- und Wirtschaftskrise, wurde wiederholt die sogenannte „Asset Market Meltdown“-Hypothese postuliert. Nach dieser Hypothese würden in den dreißiger Jahren dieses Jahrhunderts die Kapitalrenditen stark sinken, wenn die „Babyboomer“-Generation in den Ruhestand gehe und infolgedessen Kapital aus dem Wertpapiermarkt abziehe. Heute wird eine ähnliche Debatte unter dem Stichwort „säkulare Stagnation“ geführt. Danach bestehe die Gefahr, dass die nächsten Jahrzehnte durch niedrige Wachstumsraten geprägt sein und negative Realzinsen gar zur Normalität werden könnten. Dieser Beitrag geht der Frage nach, inwiefern die demographische Entwicklung für eine solche Stagnation verantwortlich ist.
We characterize the optimal linear tax on capital in an Overlapping Generations model with two period lived households facing uninsurable idiosyncratic labor income risk. The Ramsey government internalizes the general equilibrium effects of private precautionary saving on factor prices and taxes capital unless the weight on future generations in the social welfare function is sufficiently high. For logarithmic utility a complete analytical solution of the Ramsey problem exhibits an optimal aggregate saving rate that is independent of income risk, whereas the optimal time-invariant tax on capital implementing this saving rate is increasing in income risk. The optimal saving rate is constant along the transition and its sign depends on the magnitude of risk and on the Pareto weight of future generations. If the Ramsey tax rate that maximizes steady state utility is positive, then implementing this tax rate permanently induces a Pareto-improving transition even if the initial equilibrium capital stock is below the golden rule.
This paper employs a multi-country large scale Overlapping Generations model with uninsurable labor productivity and mortality risk to quantify the impact of the demographic transition towards an older population in industrialized countries on world-wide rates of return, international capital flows and the distribution of wealth and welfare in the OECD. We find that for the U.S. as an open economy, rates of return are predicted to decline by 86 basis points between 2005 and 2080 and wages increase by about 4.1%. If the U.S. were a closed economy, rates of return would decline and wages increase by less. This is due to the fact that other regions in the OECD will age even more rapidly; therefore the U.S. is “importing” the more severe demographic transition from the rest of the OECD in the form of larger factor price changes. In terms of welfare, our model suggests that young agents with little assets and currently low labor productivity gain, up to 1% in consumption, from higher wages associated with population aging. Older, asset-rich households tend to lose, because of the predicted decline in real returns to capital. Klassifizierung: E17, E25, D33, C68
n this paper we compute the optimal tax and education policy transition in an economy where progressive taxes provide social insurance against idiosyncratic wage risk, but distort the education decision of households. Optimally chosen tertiary education subsidies mitigate these distortions. We highlight the importance of two different channels through which academic talent is transmitted across generations (persistence of innate ability vs. the impact of parental education) for the optimal design of these policies and model different forms of labor as imperfect substitutes, thereby generating general equilibrium feedback effects from policies to relative wages of skilled and unskilled workers. We show that subsidizing higher education has important redistributive benefits, by shrinking the college wage premium in general equilibrium. We also argue that a full characterization of the transition path is crucial for policy evaluation. We find that optimal education policies are always characterized by generous tuition subsidies, but the optimal degree of income tax progressivity depends crucially on whether transitional costs of policies are explicitly taken into account and how strongly the college premium responds to policy changes in general equilibrium.
We characterize the optimal linear tax on capital in an Overlapping Generations model with two period lived households facing uninsurable idiosyncratic labor income risk. The Ramsey government internalizes the general equilibrium feedback of private precautionary saving. For logarithmic utility our full analytical solution of the Ramsey problem shows that the optimal aggregate saving rate is independent of income risk. The optimal time-invariant tax on capital is increasing in income risk. Its sign depends on the extent of risk and on the Pareto weight of future generations. If the Ramsey tax rate that maximizes steady state utility is positive, then implementing this tax rate permanently generates a Pareto-improving transition even if the initial equilibrium is dynamically efficient. We generalize our results to Epstein-Zin-Weil utility and show that the optimal steady state saving rate is increasing in income risk if and only if the intertemporal elasticity of substitution is smaller than 1.
We develop a model of managerial compensation structure and asset risk choice. The model provides predictions about how inside debt features affect the relation between credit spreads and compensation components. First, inside debt reduces credit spreads only if it is unsecured. Second, inside debt exerts important indirect effects on the role of equity incentives: When inside debt is large and unsecured, equity incentives increase credit spreads; When inside debt is small or secured, this effect is weakened or reversed. We test our model on a sample of U.S. public firms with traded CDS contracts, finding evidence supportive of our predictions. To alleviate endogeneity concerns, we also show that our results are robust to using an instrumental variable approach.
When markets are incomplete, social security can partially insure against idiosyncratic and aggregate risks. We incorporate both risks into an analytically tractable model with two overlapping generations and demonstrate that they interact over the life-cycle. The interactions appear even though the two risks are orthogonal and they amplify the welfare consequences of introducing social security. On the one hand, the interactions increase the welfare benefits from insurance. On the other hand, they can in- or decrease the welfare costs from crowding out of capital formation. This ambiguous effect on crowding out means that the net effect of these two channels is positive, hence the interactions of risks increase the total welfare benefits of social security.