Optimal Carbon Tax in DSGE Models with Distortionary Taxation
In: JPUBE-D-22-00243
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In: JPUBE-D-22-00243
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This paper studies the aggregate and distributional implications of introducing user fees for publicly provided excludable public goods into a model with consumption and income taxes. The setup is a neoclassical growth model where agents differ in earnings and second-best policy is chosen by a Ramsey government. Our main result is that the adoption of user fees by the Ramsey government not only increases aggregate efficiency, but it also decreases inequality. This result is in contrast to common view and policy practice.
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We examine the optimal taxation problem in a two sector neoclassical economy with workers and capitalists. We show that in a steady state of this economy the optimal policy may involve a capital income tax or subsidy, differential taxation of labour income and redistribution. The level and the direction of the redistribution associated with such an optimal policy depends on the pre tax allocation of capital but not on the social weights attached to the different groups of taxpayers. Excess production of consumption goods creates a difference between the social marginal values of consumption and investment which in turns violates the production efficiency condition. Such a difference can be undone by taxing capital income from the consumption sector, and with this optimal policy the government can implement a redistribution scheme where both workers and capitalists bear the burden of distorting taxes. On the contrary, an optimal policy that involves a capital income subsidy in the production of consumption can implement allocations that minimize the relative price difference between consumption and investment that resulted from the excess production of investment goods.
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In: FRB Atlanta Working Paper No. 2014-24
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Working paper
In: DIW Berlin Discussion Paper No. 1697
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Working paper
We illustrate two differential oligopoly games using, respectively, the capital accumulation dynamics `a la Solow-Nerlove-Arrow, and the capital accumulation dynamics `a la Ramsey. In both settings, we evaluate the effects of (gross) profit taxation, proving that there exist tax rates yielding the same steady state social welfare as under social planning. Contrary to the static approach, our dynamic analysis shows that, in general, profit taxation affects firms' decisions concerning capital accumulation and sales. In particular, it has pro-competitive effects provided that the extent of delegation is large enough.
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It is now well known that "optimal" government policies may not be time consistent--that is, ex post optimal. Time consistency considerations can be shown to reverse the conclusions about the relative merits of different tax structures that are drawn from Ramsey type analysis. In this paper I show with the help of a simple overlapping generations model that this is the case for the "presumption" that direct taxes, for which tax rates can be made contingent on household characteristics, weakly dominate indirect taxes, which are levied on transactions. The ability of the government, with direct taxation, to levy different tax rates on households in different periods of their life-cycles introduces a time consistency problem that is not present with the "anonymous" tax rates levied under indirect taxation.
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Bovenberg and Jacobs (2005) and Richter (2009) derive the education effi ciency theorem: In a second-best optimum, the education decision is undistorted if the function expressing the stock of human capital features a constant elasticity with respect to education. I drop this assumption. The household inherits an initial stock of human capital, implying that the aforementioned elasticity is increasing. In a two-period Ramsey model of optimal taxation, I show that the education effi ciency theorem does not hold. In a second-best optimum, the discounted marginal social return to education is smaller than the marginal social cost. The household overinvests in human capital relative to the first best. The government eff ectively subsidizes the return to education. ; Bovenberg und Jacobs (2005) und Richter (2009) leiten das Bildunseffizienztheorem her: In einem zweitbesten Optimum ist die Bildungsentscheidung unverzerrt, wenn die Funktion, die den Bestand an Humankapital beschreibt, über eine konstante Elastizität in Bezug auf Bildung verfügt. Diese Annahme lasse ich fallen. Der Haushalt erbt einen Anfangsbestand an Humankapital, was dazu führt, dass die vorgenannte Elastizität steigend ist. In einem Ramsey-Modell der optimalen Besteuerung mit zwei Perioden zeige ich, dass das Bildunseffizienztheorem nicht gilt. In einem zweitbesten Optimum gilt, dass der abdiskontierte soziale Grenzertrag kleiner ist als die sozialen Grenzkosten. Der Haushalt überinvestiert in Humankapital relativ zur erstbesten Lösung. Die Regierung subventioniert effektiv den Ertrag der Bildung.
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In: FRB Atlanta Working Paper No. 2020-12
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Working paper
In: CESifo Working Paper Series No. 3560
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In: The Manchester School, Band 75, Heft 6, S. 767-788
ISSN: 1467-9957
In this paper, I investigate the optimal taxation of labor and capital as well as the political equilibrium when people are homogeneous and have a preference for fairness. Not surprisingly, the optimal taxation takes a variant Ramsey–Mirrlees formula. I then fully characterize the equilibrium fiscal policy and find conditions under which the maximum capital levy holds. In particular, I show that an additional concern for fairness may enforce or weaken the maximum capital levy result in an intuitive manner. For example, if the degree to which labor income is determined by stochastic shocks with respect to talent and effort is relatively larger than that of capital income, the maximum capital levy and hence no tax on labor is less plausible to obtain on equilibrium.
We consider an economy where individuals face uninsurable risks to their human capital accumulation and analyze the optimal level of linear taxes on capital and labor income together with the optimal path of government debt. We show that in the presence of such risks, it is beneficial to tax both labor and capital and to issue public debt. We also assess the quantitative importance of these findings, and show that the benefits of government debt and capital taxes both increase with the magnitude of idiosyncratic risks and the degree of relative risk aversion.
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This paper characterizes capital taxation and public debt policy in a quantitative macroeconomic model with an impatient government and uncertainty. The government has access to linear taxes on capital and labor, and to non-state-contingent bonds. Government impatience generates positive and empirically realistic longrun levels of both capital taxes and public debt. Prior predictive analysis shows that the simulated model matches the distribution of both variables in a sample of 42 countries, alongside other statistics. The paper then presents econometric evidence that countries with higher political instability, used as an approximation of unobservable public discount rates, have both higher capital taxes and debt.
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Optimum commodity taxation theory asks how to raise a given amount of tax revenue while minimizing distortions. We reexamine Ramsey's inverse elasticity rule in presence of Hotelling-type non-renewable natural resources. Under standard assumptions borrowed from the non-renewable-resource-extraction and from the optimum-commodity-taxation literatures, a non-renewable resource should be taxed in priority whatever its demand elasticity and whatever the demand elasticity of regular commodities. It should also be taxed at a higher rate than other commodities having the same demand elasticity and, while the tax on regular commodities should be constant, the resource tax should vary over time. There are two basic ways to alleviate resource supply limitations; one is to produce reserves for subsequent extraction; the other one is to rely on imports. When the generation of reserves by exploration is determined by the net-of-tax rents derived during the extraction phase, reserves become a conventional form of capital and royalties tax its income; our results contradict Chamley's conclusion that capital should not be taxed at all in the very long run. When the economy is autarkic, in the absence of any subsidy to reserve discoveries, the optimal tax rate on extraction obeys an inverse elasticity rule almost identical to that of a commodity whose supply is perfectly elastic. As a matter of fact, there is a continuum of optimal combinations of reserve subsidies and extraction taxes, irrespective of whether taxes are applied on consumption or on production. When the government cannot commit, extraction rents are completely expropriated and subsidies are maximum. In general the optimum Ramsey tax not only causes a distortion of the extraction path, as happens when reserves are given, but also distorts the level of reserves developed for extraction. When that distortion is the sole effect of the tax, it is determined by a rule reminiscent of the inverse elasticity rule applying to elastically-supplied commodities. In an open economy, Ramsey taxes further acquire an optimum-tariff dimension, capturing foreign resource rents. For countries that import the resource, the result that domestic resource consumption is to be taxed at a higher rate than conventional commodities having the same demand elasticity emerges reinforced.
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