**Income elasticity of demand (IED)** shows the relationship between a change in income to the quantity demanded for a certain good or service.

The term is used in economics to refer to the sensitivity of demand for a particular product or service in response to a change in the income of consumers.

Different goods have distinct income elasticity of demand.

Normal goods often have a positive income elasticity of demand, meaning that their demand is directly proportional to income.

A rise in income will therefore result in a rise in demand for the good.

Luxury goods have a high income elasticity of demand such that demand for the goods increases more than the proportionate increase in income.

Inferior goods often come up with a negative income elasticity of demand. In essence, the demand for these goods decreases as the level of income rises.

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**Demand Income Elasticity Formula**

You can use the income elasticity of demand formula to measure how a change in quantity demanded for a certain product or service can affect a change in the consumer's income, and vice versa.

The formula is as follows:

With the percentage change in income and quantity demanded equal:

**Midpoint Formula of Income Elasticity**

The **midpoint formula** for calculating the income elasticity is very similar to the formula we use to the calculate the price elasticity of supply.

To compute the percentage change in quantity demanded, the change in quantity is divided by the average of initial (old) and final (new) quantities.

To compute the percentage change in income, the change in income is divided by the average of initial (old) and final (new) incomes.

The equation could be written as:

- Old QD represents the initial value of the quantity demanded
- New QD represents the final value of the quantity demanded
- Old Income represents the initial consumer's income
- New Income represents the final consumer's income

**Example #1**

An airline company offers three seat categories: economy, business and first class.

Based on company sales, more passengers are buying economy class tickets than business class tickets.

The country’s economy is undergoing a recession characterized by a drop in consumer spending.

The average income has decreased, and consumers are looking for ways to spend less by switching to the cheapest seat – the economy class.

We can see that the relationship between the economy class, and the change in income is inversely proportional.

The increase in demand for economy class corresponds to a decrease in the income level of consumers, indicating a negative income elasticity of demand for the economy class.

This means that the economy class is an inferior product.

**Example #2**

Now let's take a look at another example so you can understand clearly how to calculate the income elasticity of demand.

Country X’s economy is growing. Its GDP rose from $40,000 to $80,000 in five years. Annual demand for Product A declined from 15,000 units to 12,000 units. The use of Product B, however, increased from 14,000 to 16,000 units.

- Question: Calculate the income elasticity of demand.

To determine which product is normal and which is inferior, we can use the formula given above.

Firstly, we need to calculate the percentage change in income and demand for both product A and B, like so:

After having the percentage change, we need to calculate the cross elasticity of demand for both products:

In our example, Product B's are considered normal or superior goods because they have a positive income elasticity of demand, while Product A's are considered inferior goods because they have a negative income elasticity of demand.