Taxes are categorized by the effect they have on the distribution of income and wealth. A proportional tax is a kind that impinges the same relative liability on all the taxpayers—i.e., when tax liability and income move in equal proportion. A progressive tax is recognised by a higher than proportional growth in the tax onus in relation to the rise in income, and a regressive tax is recognisable by a less than proportional increase in the comparative liability. So, progressive taxes are viewed as fighting the lack of equality in income distribution, but regressive taxes are seen to have the result of an increase in these inequalities.

The taxes that are usually believed to be progressive include individual income taxes and estate taxes. Income taxes that are categorically progressive, however, may become less so within the upper-income demographic—particularly if a taxpayer is able to reduce his tax base by declaring deductions or by removing some certain income components from his taxable income. Proportional tax rates which are applied to lower-income demographics could also be more progressive if personal exemptions are claimed.

Income measured over the course of a given year might not absolutely offer the most accurate measure of taxpaying requirement. For example, transitory growth in income could be saved, and within temporary declines in income a taxpayer could elect to pay for consumption by taking from savings. Therefore, if taxation is compared with “permanent income,” it would be less regressive (or more progressive) than if held in comparison with annual income.

Sales taxes and excises (with the exception of those on luxuries) are generally regressive, because the share of one’s income consumed or spent for a specific good declines as the rate of personal income is raised. Poll taxes (also known as head taxes), levied as a standard amount per capita, obviously are regressive.

It is difficult to classify corporate income taxes and taxes on business as progressive, regressive, or proportionate, principally because of uncertainty surrounding the ability of businesses to shift their tax expenses (see below Shifting and incidence). This difficulty of deciding who bears the tax burden depends essentially on whether a national or a subnational (that is, provincial or state) tax is being debated.

In regarding the economic purposes of taxation, it is important to distinguish between varied concepts of tax rates. The statutory rates will be nominated in legislature; generally these are marginal rates, but sometimes they are average rates. Marginal income tax rates denote the fraction of incremental income demanded by taxation when income is increased by one dollar. Ergo, if tax burden increases by 45 cents when income rises by one dollar, the marginal tax rate is 45 percent. Income tax legislation usually contain graduated marginal rates—i.e., rates that rise as income grows. Careful analysis of marginal tax rates should review provisions in addition to the formal statutory rate structure. If, for example, a particular tax credit (reduction in tax) declines by 20 cents for each one-dollar growth in income, the marginal rate is 20 percentage points greater than specified within the statutory rates. Since marginal rates signify how after-tax income is changed in response to changes in before-tax income, they are the relevant ones for considering incentive effects of taxation. It is even more complicated to nominate the marginal effective tax rate applicable to income from business and capital, since it may be dependant on factors including the structure of depreciation allowances, the deductibility of interest, and the provisions for inflation adjustment. A basic economic theorem shows that the marginal effective tax rate in income from capital is nil under a consumption-based tax.

Average income tax rates determine the part of total income that is taken in taxation. The pattern of average rates is the one that is necessary for considering the distributional equity of taxation. Under a progressive income tax the average income tax rate increases with income. Average income tax rates usually increase with income, both because personal allowances are provided for the taxpayer and dependents and also because marginal tax rates are graduated; conversely, preferential treatment of income received fundamentally by high-income households may dwarf these effects, allowing regressivity, as indicated by average tax rates that lessen as income increases.

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