Marginal cost of public funds

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The marginal cost of public funds (MCF) is a concept in public finance which measures the loss incurred by society in raising additional revenues to finance government spending due to the distortion of resource allocation caused by taxation. [1] Formally, it is defined as the ratio of the marginal value of a monetary unit raised by the government and the value of that marginal private monetary unit. The applications of the marginal cost of public funds include the Samuelson condition for the optimal provision of public goods and the optimal corrective taxation of externalities in public economic theory, the determination of tax-smoothing policy rules in normative public debt analysis and social cost-benefit analysis common in practical policy analysis.

Contents

History

The initial statement of the MCF problem is generally attributed to Pigou (1947), who stressed the application of the cost-benefit rule to the financing of public spending. [2] Later, the modification of the Samuelson rule for the optimal provision of public services through the inclusion of a measure of the MCF performed by Stiglitz and Dasgupta (1971), Diamond and Mirrlees (1971) and Atkinson and Stern (1974) proved to be a theoretical milestone. [3] Complementary, Harberger's (1964, 1971) contributions on the issue of excess burden measurement further influenced the development of the MCF concept, though he focused on the average excess burden (AEB) rather than on the MEB. The first attempt at measuring the MEB is commonly attributed to Campbell (1975). [4] Measurement of the MCF, however, was first attempted by Browning (1976), although the inclusion of "substitution effects" impairs his exercise. [5]

Conceptual foundations

The theoretical foundations of the MCF can be found in the excess burden of taxation as measured by equivalent variation, compensating variation and consumer surplus. Relatedly, the social MCF is the basis for the conditions of an optimal tax system and optimal spending on public services. Thus, the outcome of a tax reform can be calculated using pre- and post-reform MCFs as well as price indices. Practically, MCFs can be calculated based on the tax rate and the elasticities of demand and supply. It is consequently related to the (compensating variation-based) marginal excess burden of taxation (MEB), but is comparatively superior in terms of policy analysis. [6]

It is not a net cost, as it isolates the revenue side from the expenditure side of government. For microeconomic analysis, the social weights attributable to the origin and destination unit equally affect the net total.

According to Dahlby (2008), while a substantial literature on the marginal cost of public funds (MCF) has emerged over the last twenty years, much of this literature is fragmented because authors have used different measures for the MCF, or its associated concept, the marginal excess burden (MEB).

Criticism

Jacobs (2018) identifies four problems with respect to the marginal cost of public funds: (1) The lack of consensus in the literature on a common definition of the MCF, notably the dichotomy between the Pigou-Harberger-Browning (PHB) approach using compensated wage elasticities of labor supply and the Atkinson-Stern-Ballard-Fullerton (ASBF) approach using uncompensated wage elasticities of labor supply. (2) Contradicting intuition, standard MCF measures are unequal to one for non-distortionary lump-sum taxes. (3) The normalization of the tax system influences the MCF for both lump-sum and distortionary taxation. (4) Most MCF concepts ignore the reasons for distortionary taxes, namely, redistributional benefits. [7]

Literature

https://doi.org/10.1007/s10797-017-9481-0

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<span class="mw-page-title-main">Externality</span> In economics, an imposed cost or benefit

In economics, an externality or external cost is an indirect cost or benefit to an uninvolved third party that arises as an effect of another party's activity. Externalities can be considered as unpriced goods involved in either consumer or producer market transactions. Air pollution from motor vehicles is one example. The cost of air pollution to society is not paid by either the producers or users of motorized transport to the rest of society. Water pollution from mills and factories is another example. All consumers are made worse off by pollution but are not compensated by the market for this damage. A positive externality is when an individual's consumption in a market increases the well-being of others, but the individual does not charge the third party for the benefit. The third party is essentially getting a free product. An example of this might be the apartment above a bakery receiving the benefit of enjoyment from smelling fresh pastries every morning. The people who live in the apartment do not compensate the bakery for this benefit.

This aims to be a complete article list of economics topics:

A regressive tax is a tax imposed in such a manner that the tax rate decreases as the amount subject to taxation increases. "Regressive" describes a distribution effect on income or expenditure, referring to the way the rate progresses from high to low, so that the average tax rate exceeds the marginal tax rate. In terms of individual income and wealth, a regressive tax imposes a greater burden on the poor than on the rich: there is an inverse relationship between the tax rate and the taxpayer's ability to pay, as measured by assets, consumption, or income. These taxes tend to reduce the tax burden of the people with a higher ability to pay, as they shift the relative burden increasingly to those with a lower ability to pay.

A Pigouvian tax is a tax on any market activity that generates negative externalities. The tax is normally set by the government to correct an undesirable or inefficient market outcome and does so by being set equal to the external marginal cost of the negative externalities. In the presence of negative externalities, social cost includes private cost and external cost caused by negative externalities. This means the social cost of a market activity is not covered by the private cost of the activity. In such a case, the market outcome is not efficient and may lead to over-consumption of the product. Often-cited examples of negative externalities are environmental pollution and increased public healthcare costs associated with tobacco and sugary drink consumption.

Welfare economics is a field of economics that applies microeconomic techniques to evaluate the overall well-being (welfare) of a society. This evaluation is typically done at the economy-wide level, and attempts to assess the distribution of resources and opportunities among members of society.

<span class="mw-page-title-main">Erik Lindahl</span> Swedish economist

Erik Lindahl was a Swedish economist. He was professor of economics at Uppsala University 1942–58 and in 1956–59 he was the President of the International Economic Association. He was an also an advisor to the Swedish government and the central bank, and in 1943 was elected as a member of the Royal Swedish Academy of Sciences. Lindahl posed the question of financing public goods in accordance with individual benefits. The quantity of the public good satisfies the requirement that the aggregate marginal benefit equals the marginal cost of providing the good.

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Arnold Carl Harberger is an American economist. His approach to the teaching and practice of economics is to emphasize the use of analytical tools that are directly applicable to real-world issues. His influence on academic economics is reflected in part by the widespread use of the term "Harberger triangle" to refer to the standard graphical depiction of the efficiency cost of distortions of competitive equilibrium. His influence on the practice of economic policy is manifested by the high positions attained by his followers in national agencies such as central banks and ministries of finance, and in international agencies such as the World Bank.

A Lindahl tax is a form of taxation conceived by Erik Lindahl in which individuals pay for public goods according to their marginal benefits. In other words, they pay according to the amount of satisfaction or utility they derive from the consumption of an additional unit of the public good. Lindahl taxation is designed to maximize efficiency for each individual and provide the optimal level of a public good.

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<span class="mw-page-title-main">Tax policy</span> Choice by a government as to what taxes to levy, in what amounts, and on whom

Tax policy refers to the guidelines and principles established by a government for the imposition and collection of taxes. It encompasses both microeconomic and macroeconomic aspects, with the former focusing on issues of fairness and efficiency in tax collection, and the latter focusing on the overall quantity of taxes to be collected and its impact on economic activity. The tax framework of a country is considered a crucial instrument for influencing the country's economy.

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Optimal tax theory or the theory of optimal taxation is the study of designing and implementing a tax that maximises a social welfare function subject to economic constraints. The social welfare function used is typically a function of individuals' utilities, most commonly some form of utilitarian function, so the tax system is chosen to maximise the aggregate of individual utilities. Tax revenue is required to fund the provision of public goods and other government services, as well as for redistribution from rich to poor individuals. However, most taxes distort individual behavior, because the activity that is taxed becomes relatively less desirable; for instance, taxes on labour income reduce the incentive to work. The optimization problem involves minimizing the distortions caused by taxation, while achieving desired levels of redistribution and revenue. Some taxes are thought to be less distorting, such as lump-sum taxes and Pigouvian taxes, where the market consumption of a good is inefficient, and a tax brings consumption closer to the efficient level.

The Henry George theorem states that under certain conditions, aggregate spending by government on public goods will increase aggregate rent based on land value more than that amount, with the benefit of the last marginal investment equaling its cost. The theory is named for 19th century U.S. political economist and activist Henry George.

Public economics(or economics of the public sector) is the study of government policy through the lens of economic efficiency and equity. Public economics builds on the theory of welfare economics and is ultimately used as a tool to improve social welfare. Welfare can be defined in terms of well-being, prosperity, and overall state of being.

Several theories of taxation exist in public economics. Governments at all levels need to raise revenue from a variety of sources to finance public-sector expenditures.

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.

Optimal labour income tax is a sub-area of optimal tax theory which refers to the study of designing a tax on individual labour income such that a given economic criterion like social welfare is optimized.

References

  1. Dahlby, B. (2008). The Marginal Cost of Public Funds: Theory and Application. Cambridge, MA: MIT Press, p. 1.
  2. Pigou, A.C. (1948). A Study in Public Finance. 3rd ed. London: Macmillan.
  3. Stiglitz, J.E., Dasgupta, P. (1971). Differential Taxation, Public Goods, and Economic Efficiency. Review of Economic Studies, 38(2), pp. 151-174.
  4. Campbell, H.F. (1975). Deadweight Loss and Commodity Taxation in Canada. Canadian Journal of Economics, 8(3), pp. 441-447.
  5. Browning, E.K. (1976). The Marginal Cost of Public Funds. Journal of Political Economy. 84(2), pp. 283-298.
  6. Dahlby (2008), pp. 11-13.
  7. "The Marginal Cost of Public Funds is One at the Optimal Tax System"