Human Capital and Growth Cycles

This paper studies the dynamic interaction between human capital accumulation and economic growth. Capital market imperfections and an indivisibility in human capital investment prevent poor agents from accumulating skills, the acquisition of which positively affects technological progress. More productive technologies in turn require more sophisticated qualification and involve higher training costs. The equilibrium dynamics can be characterized by the joint evolution of productivity growth, the schooling costs, and the income distribution. Under our assumptions, individual incomes follow a non-linear Markov chain. This non-linearity generates endogenous fluctuations of schooling activities and the rate at which productivity improvements occur. We thank an anonymous referee for many helpful suggestions. Support from the German Research Foundation (DFG) under grant KA1519/2-2 is gratefully acknowledged.     

Commodity price cycles and heterogeneous speculators: a STAR–GARCH model

We propose an empirical commodity market model with heterogeneous speculators. While the power of trend-extrapolating chartists is constant over time, the symmetric impact of stabilizing fundamentalists adjusts endogenously according to market circumstances: Using monthly data for various commodities such as cotton, sugar or zinc, our STAR–GARCH model indicates that their influence positively depends on the distance between the commodity price and its long-run equilibrium value. Fundamentalists seem to become more and more convinced that mean reversion will set in as the mispricing enlarges. Commodity price cycles may thus emerge due to the nonlinear interplay between different trader types. The paper represents the authors’ personal opinion and does not necessarily reflect the views of the Deutsche Bundesbank.     

On the public provision of the performing arts

In this paper, we present a model in which the performing arts are modelled as congestible public goods. In accordance with empirical evidence, the production of seat capacity is assumed to be subject to fixed costs. We estimate the parameters of the model's demand and cost functions using German data. Using these estimates in a subsequent social choice analysis, we show that the current situation in the German performing arts sector is best described by a directorship that under the influence of a selfish theater lobby maximizes only the welfare of the spectators. Such an equilibrium, characterized by too low ticket prices and too large capacity, is most likely to establish if citizens have a very positive ex ante notion of the performing arts.     

On the Delegation of Powers: With Special Emphasis on Central and Eastern Europe

Elected politicians can choose to decide themselves or to delegate competence. Delegation can occur in the constitutional stage, but is most common in the post-constitutional stage. Furthermore, domestic delegation can be distinguished from international delegation. The authors propose to analyze both delegation decisions within a unified framework and apply it to eight countries of Central and Eastern Europe that have experienced substantial constitutional change recently. The main differences among these countries with regard to delegation are portrayed, their origins are traced and their effects analyzed.     

Uncertainty and sustainability in the management of rangelands

We analyze a dynamic and stochastic ecological-economic model of grazing management in semi-arid rangelands. The ecosystem is driven by stochastic precipitation. A risk averse farmer chooses a grazing management strategy under uncertainty such as to maximize expected utility from farming income. Grazing management strategies are rules about which share of the rangeland is given rest depending on the actual rainfall in that year. In a first step we determine a myopic farmer's optimal grazing management strategy and show that a risk averse farmer chooses a strategy such as to obtain insurance from the ecosystem: the optimal strategy reduces income variability, but yields less mean income than possible. In a second step we analyze the long-run ecological and economic impact of different strategies. We conclude that a myopic farmer, if he is sufficiently risk averse, will choose a sustainable grazing management strategy, even if he does not take into account long-term ecological and economic benefits of conservative strategies.     

Zur Nachhaltigkeit der Generationenverträge: Eine Diagnose der Kranken- und Pflegeversicherung

Employing the generational accounting approach, this paper analyses the stance of fiscal policy in Germany. We find that fiscal policy is presently not sustainable, which is mainly due to pay-as-you-go financed social insurance systems. In order to illustrate the relative impact, we isolate the Public Health Insurance and the Public Long Term Care Insurance. Our findings suggest that without radical reforms the implicit debt burden for future generations might reach a magnitude of more than two times the annual GDP and contribution rates to both schemes will explode during the next three decades.     

The minimum variance hedge and the bankruptcy risk of the firm

In this paper, we analyze the influence of hedging with forward contracts on the firm's probability of bankruptcy (POB). The minimization of this probability can serve as a substitute for the maximization of shareholders' wealth. It is shown that the popular minimum variance hedge is generally neither necessary nor sufficient for the minimization of the firm's POB. Moreover, our model suggests a correction of the widespread view that a reduction in the variance of the future value of the firm is inevitably accompanied by a reduction in its default risk. We derive an analytical solution for the variance-minimizing hedge ratio of a firm exposed to both input and output price uncertainty that takes into account the issue of correlation. Based on this solution, we provide a graphical analysis to prove our claim that there is a fundamental difference between hedging policies focused on bankruptcy risk and those following conventional wisdom even if positive correlation constitutes a “natural” hedge.     

Inequality, Crime and Economic Growth. A Classical Argument for Distributional Equality

This paper studies the dynamic general-equilibrium interactions between inequality, crime and economic growth by embedding the rational choice-theoretical approach to criminal behavior in a heterogeneous-agents endogenous-growth OLG model. Based on their respective opportunity costs, individuals choose to specialize in either legal or criminal activities. While legal households contribute to aggregate goods supply over time by either working or building human capital, criminals make a living by expropriating legal citizens of part of the latter's income. An increase in inequality lowers the economy's growth rate and possesses negative welfare effects for all agents with endowments equal to or above average and for agents with endowment below average that are born sufficiently far in the future.