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A-Level Economics October/November 2024 Q5(a): With the help of examples, explain the difference between the marginal rate of taxation…
A-Level Economics · Paper 9708/22 · October/November 2024 · Question 5(a) · [8 marks]
With the help of examples, explain the difference between the marginal rate of taxation and the average rate of taxation and consider whether a government should decide to increase the rate of indirect tax to raise additional revenue.
A full-marks model answer with a mark-by-mark examiner breakdown is below.
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The marginal rate of taxation (MRT) is the proportion of any extra income that is taken in tax. It is calculated as the change in tax paid divided by the change in income (). In contrast, the average rate of taxation (ART) is the proportion of a person's total income that is paid in tax, calculated as ().
For example, consider a progressive income tax system where the first 20,000 is taxed at 30%. For an individual earning $30,000:
- Tax on the first 20,000 = 0.10 \times \20,000 = $2,000
- Tax on the next 10,000 = 0.30 \times \10,000 = $3,000
- Total Tax Paid = 3,000 = $5,000
The Average Rate of Tax (ART) is: ART = \frac{\5,000}{$30,000} \times 100% = 16.7%$
The Marginal Rate of Tax (MRT) is the rate on the next dollar they earn. Since their income is already in the higher band, any additional income would be taxed at 30%. Therefore, their MRT is 30%. In this progressive system, the MRT (30%) is higher than the ART (16.7%).
A government considering an increase in the rate of indirect tax, such as Value Added Tax (VAT) or an excise duty, must weigh several factors. One major advantage is that indirect taxes are relatively difficult to evade, as they are collected by firms at the point of sale. They can also be implemented quickly and can be applied to a very broad base of goods and services, meaning a small rate increase can generate substantial revenue.
However, there are significant disadvantages. A key drawback is that indirect taxes are often regressive. They take a larger proportion of income from low-income households than from high-income households, as poorer individuals spend a higher percentage of their income on essential goods and services which are subject to the tax. This can worsen income inequality. Furthermore, an increase in indirect taxes raises firms' costs of production, which can lead to cost-push inflation as these costs are passed on to consumers in the form of higher prices.
The effectiveness of an indirect tax increase in raising revenue depends critically on the price elasticity of demand (PED) for the taxed good. If the government imposes the tax on a good with price-inelastic demand (e.g., petrol or tobacco), the quantity demanded will fall by a smaller percentage than the price increase. Consequently, total spending will rise, and government tax revenue will increase significantly. Conversely, if the tax is placed on a good with price-elastic demand, the quantity demanded will fall by a larger percentage than the price increase, which could potentially lead to a fall in total tax revenue.
In assessment, while increasing indirect taxes can be an effective and administratively simple way to raise revenue, especially when targeted at goods with inelastic demand, the policy is a blunt instrument with significant drawbacks. The government must consider the trade-off between the goal of revenue generation and other macroeconomic objectives, such as maintaining low inflation and promoting an equitable distribution of income. The regressive nature of the tax is a particularly strong argument against its use without some form of compensatory measures for low-income groups.
In conclusion, a government should consider increasing indirect taxes as one of several potential revenue-raising options, but it should not be an automatic decision. The choice is most justifiable if the targeted goods have highly inelastic demand and if the government simultaneously introduces policies to mitigate the negative impact on income inequality, such as increasing welfare benefits for the poorest households.
How the marks are awarded
- M1 — The first sentence correctly defines the marginal rate of tax as the proportion of extra income taken in tax.
- M2 — The second sentence correctly defines the average rate of tax as the proportion of total income paid in tax.
- M3 — The numerical example correctly calculates the total tax, ART (16.7%), and MRT (30%) for an individual in a progressive tax system, clearly showing the difference.
- M4 — The analysis of advantages is present, mentioning that indirect taxes are 'difficult to evade' and 'can be implemented quickly'.
- M5 — The analysis of disadvantages is present, explaining that such taxes are 'regressive' and can cause 'cost-push inflation'.
- M6 — The analysis of the role of Price Elasticity of Demand (PED) is clearly explained, contrasting the revenue effects for goods with inelastic and elastic demand.
- A1 — The assessment paragraph weighs the strengths (revenue) against the weaknesses (equity, inflation), considering the government's trade-offs and objectives.
- A2 — A valid conclusion is provided, offering a justified judgement that the decision is not automatic and depends on other factors like compensatory policies.
Common mistakes
- Confusing the definitions of MRT and ART, or calculating ART as the marginal rate in the numerical example.
- Failing to provide a numerical example, or providing one for a proportional tax where MRT=ART, which does not illustrate the difference effectively.
- Discussing the pros and cons of indirect tax without analysing the crucial role of Price Elasticity of Demand (PED) in determining the amount of revenue raised.
- Providing a list of points for and against without any evaluation or a concluding judgement that weighs these factors.
Examiner tip: For multi-part questions, explicitly address each component in a separate, well-structured paragraph to ensure all aspects are covered and analysis is clearly distinguished from evaluation.
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