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"A groundbreaking decision"
(2018)
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 propose a unified framework to measure the effects of different reforms of the pension system on retirement ages and macroeconomic indicators in the face of demographic change. A rich overlapping generations (OLG) model is built and endogenous retirement decisions are explicitly modeled within a public pension system. Heterogeneity with respect to consumption preferences, wage profiles, and survival rates is embedded in the model. Besides the expected direct effects of these reforms on the behavior of households, we observe that feedback effects do occur. Results suggest that individual retirement decisions are strongly influenced by numerous incentives produced by the pension system and macroeconomic variables, such as the statutory eligibility age, adjustment rates, the presence of a replacement rate, and interest rates. Those decisions, in turn, have several impacts on the macro-economy which can create feedback cycles working through equilibrium effects on interest rates and wages. Taken together, these reform scenarios have strong implications for the sustainability of pension systems. Because of the rich nature of our unified model framework, we are able to rank the reform proposals according to several individual and macroeconomic measures, thereby providing important support for policy recommendations on pension systems.
This paper investigates the roles psychological biases play in empirically estimated deviations between subjective survival beliefs (SSBs) and objective survival probabilities (OSPs). We model deviations between SSBs and OSPs through age-dependent inverse S-shaped probability weighting functions (PWFs), as documented in experimental prospect theory. Our estimates suggest that the implied measures for cognitive weakness, likelihood insensitivity, and those for motivational biases, relative pessimism, increase with age. We document that direct measures of cognitive weakness and motivational attitudes share these trends. Our regression analyses confirm that these factors play strong quantitative roles in the formation of subjective survival beliefs. In particular, cognitive weakness is an increasingly important contributor to the overestimation of survival chances in old age.
On average young people \undersave" whereas old people \oversave" with respect to the rational expectations model of life-cycle consumption and savings. According to numerous studies on subjective survival beliefs, young people also \underestimate" whereas old people \overestimate" their objective survival chances on average. We take a structural behavioral economics approach to jointly address both empirical phenomena by embedding subjective survival beliefs that are consistent with these biases into a rank-dependent utility (RDU) model over life-cycle consumption. The resulting consumption behavior is dynamically inconsistent. Considering both naive and sophisticated RDU agents we show that within this framework underestimation of young age and overestimation of old age survival probabilities may (but need not) give rise to the joint occurrence of undersaving and oversaving. In contrast to this RDU model, the familiar quasi-hyperbolic discounting (QHD), which is nested as a special case, cannot generate oversaving.
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.
Ongoing demographic change will lead to a relative scarcity of raw labor to the effect that output growth will be decreasing in the next decades, a secular stagnation. As physical capital will be relatively abundant, this decrease of output will be accompanied by reductions of asset returns. We quantify these effects for the US economy by developing an overlapping generations model with risky and risk-free assets. Without adjustments of human capital, risky returns decrease until 2035 by about 0.7 percentage point, and the risk-free rate by about one percentage point, leading to substantial welfare losses for asset rich households. Per capita output is reduced by 6%. Endogenous human capital adjustments strongly mitigate these effects. We conclude that human capital policies will be crucial in the context of labor shortages.
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.
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.
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. We derive the equilibrium dynamics in closed form and show that joint presence of both risks leads to over-proportional risk exposure for households. This implies that the whole benefit from insurance through social security is greater than the sum of the benefits from insurance against each of the two risks in isolation. We measure this through interaction effects which appear even though the two risks are orthogonal by construction. While the interactions unambiguously increase the welfare benefits from insurance, they can in- or decrease the welfare costs from crowding out of capital formation. The net effect depends on the relative strengths of the opposing forces.
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.
Based on a cognitive notion of neo-additive capacities reflecting likelihood insensitivity with respect to survival chances, we construct a Choquet Bayesian learning model over the life-cycle that generates a motivational notion of neo-additive survival beliefs expressing ambiguity attitudes. We embed these neo-additive survival beliefs as decision weights in a Choquet expected utility life-cycle consumption model and calibrate it with data on subjective survival beliefs from the Health and Retirement Study. Our quantitative analysis shows that agents with calibrated neo-additive survival beliefs (i) save less than originally planned, (ii) exhibit undersaving at younger ages, and (iii) hold larger amounts of assets in old age than their rational expectations counterparts who correctly assess their survival chances. Our neo-additive life-cycle model can therefore simultaneously accommodate three important empirical findings on household saving behavior.
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.
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.
On average, "young" people underestimate whereas "old" people overestimate their chances to survive into the future. We adopt a Bayesian learning model of ambiguous survival beliefs which replicates these patterns. The model is embedded within a non-expected utility model of life-cycle consumption and saving. Our analysis shows that agents with ambiguous survival beliefs (i) save less than originally planned, (ii) exhibit undersaving at younger ages, and (iii) hold larger amounts of assets in old age than their rational expectations counterparts who correctly assess their survival probabilities. Our ambiguity-driven model therefore simultaneously accounts for three important empirical findings on household saving behavior.