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Income Tax Worksheet - Income Tax - A demanding tax

This worksheet deals with how income tax is charged, the effects of different tax changes and the impact they will have on both the macroeconomy and the microeconomy.

A printable version of this worksheet There is also a printable version of this worksheet available for classroom or personal use with spaces to fill in the answers.

Step 1 - How taxing is tax?

The first step to understanding the effect of income tax changes on demand is to see how income tax is calculated. Income tax is charged at different rates for each level of income. For more details on this, you may want to look at the explanation of income tax.

In the table below, we have worked out the tax bill of an unmarried individual earning £40,000 a year. See if you can fill in the other columns for different levels of income.

  Income level £40,000 Income level £10,000Income level £80,000
Income levelTax rateTaxable incomeTaxTaxable income TaxTaxable incomeTax
0 - 4,1950%000000
4,196 - 8,49520%4,3004,300*20% = £860    
8,496 - 31,29523%22,80022,800*23% = £5,244    
31,296 +40%8,7058,705*40% = £3,482    
Total income£40,000     
Total tax bill £9,586    

** The figures for £40,000 income are worked out as follows:

The first £4,195 of income (for an unmarried person) is tax-free - hence all the 0 figures in the first row. The next £4,300 of taxable income (i.e. the £4,300 over and above the personal allowance) is taxed at the basic rate of 20%.
The next £22,800 of taxable income is then taxed at 23%. (In the case of the person earning £10,000 this will clearly only be a small amount of their income.)
Anything over and above this is then taxed at 40%, though many people's earnings will obviously never make it into this band. In the case above, the rest of the £40,000 left over and above £31,295 is what is taxed at 40%.

Step 2 - How do you rate tax?

If you've arrived at this stage without a total brain meltdown, you'll have realised that tax is not a simple issue! This is important - not because we're trying to muddle you, but because different tax changes will have different effects on the economy.

To show this let's try an experiment on the Virtual Economy. We're going to look at the different effects of changing tax rates and tax allowances. Go to the Model Model and try the strategies given below:

  • First - try cutting tax by increasing the personal allowance by £2,000. Record the results in the table below.
  • Second - try an equivalent tax cut, but this time by cutting the basic tax rate by 2 percentage points. Again record the results below.

 Tax rate cutTax allowance
increase
Effect on:  
Macroeconomy  
1999Economic growth  
Unemployment  
Inflation  
2000Economic growth  
Unemployment  
Inflation  
2001Economic growth  
Unemployment  
Inflation  
Microeconomy  
Single-earner couple with two children earning £12,000  
Single-earner couple with two children earning £17,000  
Two-earner couple with two children earning £50,000  

In the table below, work out the percentage gain for each family for the above policies. To do this go through the following steps:

  • Multiply the weekly gain by 52 weeks to get the annual gain.
  • Then calculate how much this is as a percentage of the original income level
  • Do this for both policies

Family Weekly gain (£)Annual gain (£)
weekly gain x 52
Percentage gain (%)
annual gain as % of income
Single earner couple with 2 children earning £12,000Tax cut   
Tax allowance change   
Single earner couple with 2 children earning £17,000Tax cut   
Tax allowance change   
Two earner couple with 2 children earning £50,000Tax cut   
Tax allowance change   

Which group has gained the most from the tax rate cut?

Which group has gained the least from the tax rate cut?

Which group has gained the most from the tax allowance increase?

Which group has gained the least from the tax allowance increase?

Step 3 - Progressing further with tax

We have seen above that the same tax cut can have very different effects. A cut in tax rates benefits all taxpayers and so will give relatively more to the better-off. An increase in personal allowances, however, gives exactly the same financial benefit to everyone. This will therefore be of more value relatively to the less-well-off.

Mark in the table below which group you think will benefit the most from each of the tax changes given - the better-off or the less-well-off.

Tax changeWho benefits the most?
 Better-off?Less well-off?
Cutting the top rate of tax  
Increasing personal allowances  
Cutting VAT  
Cutting the basic rate of tax  
Reducing tax on cigarettes  

There is an explanation in the theory section for income tax of progressive and regressive taxes that may help with this question.

If those on higher incomes and those on lower incomes are both given the same tax cut, which group is likely to spend more of it?

Why?

Step 4 - Demanding tax cuts

We can now see that increasing or reducing taxes will affect the level of demand in the economy. The total level of demand in the economy is known as aggregate demandLook up Aggregate Demand in glossary.

What are the main components of aggregate demand?

AD = __ + __ + __ + ( __ - __ )

What effect would the following tax changes have on the level of aggregate demand?

Tax changeEffect on aggregate demand?
Increase or decrease?
1...Cutting the basic rate of tax 
2...Increasing personal allowances 
....Increasing the top rate of tax 
....Not increasing allowances and thresholds in line with inflation 

N.B. The last of these changes - not increasing allowances and thresholds - is termed fiscal dragLook up Fiscal Drage in glossary.

Illustrate each of the above changes on the graph below. AD is the original level of aggregate demand. Draw new curves to show each of the four changes above.

Aggregate demand graph

Step 5 - Aiming tax at the targets

If tax changes affect the level of aggregate demand, then they will also affect all the main economic targets. To see how the targets are affected, we will experiment again on the Virtual Economy model. Try the following:

  • A small tax cut (cutting tax rates a little and increasing allowances a little)
  • A large tax cut (changing rates and allowances a lot)
  • A small tax increase (increasing tax rates a little and reducing allowances a little)
  • A large tax increase (changing rates and allowances a lot)

In the table, fill in approximately the amount that each of the targets has changed:

 Tax change
Effect on:Small tax cutLarge tax cutSmall tax increaseLarge tax increase
1999Economic growth    
Inflation    
Unemployment    
Balance of payments    
2000Economic growth    
Inflation    
Unemployment    
Balance of payments    
2001Economic growth    
Inflation    
Unemployment    
Balance of payments    
2002Economic growth    
Inflation    
Unemployment    
Balance of payments    

Show each of these changes on the diagram below. (N.B. Try to think carefully how much aggregate demand has changed by for each change. You should be able to tell this from the changes in growth and inflation.)

Aggregate demand graph

Step 6 - Demanding policies

We can see from above and our experiments on the Virtual Economy that changing income tax will have significant effects on the economy. However, there are differences of opinion between economists as to whether using tax to control the economy is appropriate. These policies are known as demand management policiesLook up Demand Management Policies in glossary as they aim to manage the level of aggregate demand to get to a full employment equilibrium.

Use the Library section of the Virtual Economy to answer the following questions:

What is meant by 'counter-cyclical demand management'?

What is the view of Classical economists about using demand management policies?

Draw an aggregate demand and supply diagram on the axes below to show the effect that Classical economists argue there will be in the long run if the government pursues a policy of cutting taxes to boost the level of demand.

Blank aggregate demand and supply diagram

What is the Keynesian view of demand management policies?

Step 7 - A demanding way to manage the economy?

Having seen how income tax policy can be used to manage the economy, go once again to the model Model and try changing income tax to get the best level of growth and unemployment possible while keeping inflation below 4%.

What changes gave the best level of growth

What problems might you expect if you were to continue these policies for a number of years?

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