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Optimal capital income taxation

Optimal capital income taxation is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Optimal capital income taxation rather than just read about it. In short: Optimal capital income taxation is a subarea of optimal tax theory which studies the design of taxes on capital income such that a given economic criterion like utility is optimized. Some have theorized that the optimal capital income tax is zero.

Optimal capital income taxation — main illustration
Optimal capital income taxation — illustration

Key takeaways

  • Optimal capital income taxation belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Optimal capital income taxation to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Optimal capital income taxation from memory before moving on to harder problems.

Reference excerpt

Optimal capital income taxation is a subarea of optimal tax theory which studies the design of taxes on capital income such that a given economic criterion like utility is optimized. Some have theorized that the optimal capital income tax is zero. Starting from the conceptualization of capital income as future consumption, the taxation of capital income corresponds to a differentiated consumption tax on present and future consumption. Consequently, a capital income tax results in the distortion of individuals' saving and consumption behavior as individuals substitute the more heavily taxed future consumption with current consumption. Due to these distortions, zero taxation of capital income might be optimal, a result postulated by the Atkinson–Stiglitz theorem (1976) and the Chamley–Judd zero capital income tax result (1985/1986). Subsequent work on optimal capital income taxation has elucidated the assumptions underlying the theoretical optimality of a zero capital income tax. Additionally, diverse arguments for a positive optimal capital income tax have been advanced.

Zero optimal capital income taxation The assertion that a zero capital income taxes may be optimal is based on two individual economic intuitions: (1) the Atkinson–Stiglitz theorem and (2) the result derived by Chamley (1986) and Judd (1985) based on a dynamic Ramsey model. While Mankiw, Weinzierl and Yagan (2009) invoke the Diamond–Mirrlees production efficiency theorem (DMPET) as third intuition for no capital income taxation, their arguments are disputed by Diamond and Saez (2011).

Atkinson–Stiglitz theorem (1976) The Atkinson–Stiglitz theorem states that if non-linear taxes on earnings are available as policy tool, differential taxation of first- and second period consumption is not optimal if all consumers have preferences weakly separable between consumption and labor. Furthermore, consumers need to have homogeneous subutility functions of consumption. When applied to capital income taxation, the Atkinson–Stiglitz theorem argues that since present and future consumption are equally complementary to leisure due to weakly separable preferences (and hence there is no Corlett–Hague motive for capital income taxation), capital income taxes do not alleviate the tax distortions caused by labor income taxation while additionally distorting capital income. Thus, capital income taxation, i.e. differentiated consumption taxation, is more costly (and therefore less optimal) than pure non-linear labor income taxation.

The Chamley–Judd zero capital income tax result The Chamley–Judd zero capital income tax result—developed in Chamley (1986) and Judd (1985)—states that in a dynamic Ramsey model featuring agents with infinite lives, an asymptotically zero tax on capital income is optimal. The result is based upon the intuition that the growth of the tax wedge between current and future consumption is related to the growth of the time horizon. So as to avoid unlimited growth in tax compounding as the horizon extends, the optimal average capital tax rate approximates zero. The result can also be interpreted in Corlett–Hague terms: As the horizon grows to infinity, both present and future consumption become equally complementary to leisure as their elasticities become constant; since, according to the Corlett–Hague rule the taxation of commodities should depend on their complementarity to leisure, present and future consumption should be taxed at equal tax rates. Although Chamley (1986) and Judd (1985) rely on steady-state properties of constant consumption and labor and, consequently, also a constant elasticity of consumption in order to argue that current and future consumption are equally complementary to leisure, Judd (1999) shows that a steady state is a sufficient but not a necessary condition for the zero capital income tax result. The Chamley–Judd model can also be invoked when arguing that the taxation of existing wealth is superior to the taxation of future capital income due to the tax on current wealth being lump-sum as opposed to the tax on future capital income distorting intertemporal decisions. This argumentation can be found in the composition of taxation in overlapping generation models, e.g. Auerbach, Kotlikoff and Skinner (1983). While criticisms of the Chamley–Judd model vary, a central theme attacks its critical assumption regarding infinite lives, which can also be interpreted as dynastic linkages. This assumption has been notably challenged both by general criticism leveled by behavioral economics against the standard model of intertemporal decision-making used in the Chamley–Judd model and by empirical analyses of bequests, which do not support the rigorous dynasty model required by the Chamley–Judd model. A 2020 study in the American Economic Review found the Chamley-Judd model's conclusion that capital should not be taxed in the long run "does not follow from the very models used to derive it."

Non-zero optimal capital income taxation A number of arguments relating to concerns for efficiency and equity may be found in the literature supporting the taxation of capital income, including (1) Corlett-Hague motives, (2) increases in consumption inequality over the life cycle, (3) heterogeneous preferences, (4) correlation between returns on savings and ability, (5) incomplete or imperfect insurance markets, (6) borrowing or liquidity constraints, (7) human capital distortions, (8) economic rents, and (9) avoidance of arbitrage between capital income and labor income taxation.

Avoidance of tax arbitrage between capital and labor incomes For a government, distinguishing between capital and labor incomes can be difficult. This shortcoming becomes critical when individuals shift from labor income to capital income so as to take advantage of tax differentials, as evidenced in Finland by Pirttilä and Selin (2011) and in the United States by Gordon and MacKie-Mason (1995) and more recently Gordon and Slemrod (2000). The difficulty in distinguishing labor and capital income might be the most important reason for governments' reluctance to engage in the full tax exemption of capital income. Specifically, Christiansen and Tuomala (2008) find a positive optimal tax on capital income due to the presence of the ability to shift income, while Reis (2007) demonstrates that the Chamley–Judd result does not hold when tax authority cannot effectively distinguish entrepreneurial labor income and capital income.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Optimal capital income taxation

Start with the simplest possible case. Write down what Optimal capital income taxation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Optimal capital income taxation before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Optimal capital income taxation ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Optimal capital income taxation

In research
Optimal capital income taxation appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Optimal capital income taxation in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Optimal capital income taxation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Taxation and redistribution, Theory of taxation, so understanding it makes those chapters shorter.
In everyday life
Look for Optimal capital income taxation outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Optimal capital income taxation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Optimal capital income taxation means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Optimal capital income taxation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Optimal capital income taxation in simple terms?

Optimal capital income taxation is a subarea of optimal tax theory which studies the design of taxes on capital income such that a given economic criterion like utility is optimized. Some have theorized that the optimal capital income tax is zero.

Why does Optimal capital income taxation matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Optimal capital income taxation?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Optimal capital income taxation.

Tags

  • Taxation and redistribution
  • Theory of taxation

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