# Elasticity Midpoint Formula: Definition and How To Calculate

The original price elasticity calculation is modified by the midpoint formula to determine the various factors that affect a product’s price. This equation typically evaluates the connection between product demand and price, but it can also show how supply can affect both. In the first scenario, the level of demand is determined by actual purchase quantities.

## Elasticity midpoint formula

Since the formula takes into account the typical percentage change in price and quantity, the midpoint method makes it much simpler to calculate elasticity. The following formula uses Q to represent quantity and P to represent price:

Price elasticity of demand is equal to (Q2 – Q1)/[(Q2 + Q1)/2]/(P2 – P1)/[(P2 + P1)/2].

It’s crucial to keep in mind that the resulting number is always negative when using the elasticity of demand midpoint formula. Due to the fact that price and quantity adjustments are inherently directional, this result occurs. Take the result’s absolute value to account for this problem.

In certain circumstances, such as when the two points on the demand curve are far apart, the price elasticity of demand midpoint formula is less useful. For a precise result, you might need to use the point elasticity method instead:

Point elasticity is equal to [(new Q – initial Q)/[(initial P – new P)/[(initial Q – initial P)]]].

## What is elasticity midpoint?

Calculating the price elasticity of demand requires a simple formula. However, applying the calculation to various points on a demand curve yields the same outcomes. With elasticity midpoint, however, you can calculate price elasticities accurately.

It’s crucial to first master a few fundamental ideas in order to comprehend elasticity midpoint:

Understanding the results of variations in demand can be improved by calculating the elasticity midpoint. Then you can identify the optimal level of demand.

A more significant change in demand results from an increase in price elasticity. For instance, customers might be more receptive when an item has a higher price—i e. less likely to buy—as the price increases more.

Similarly, less price elasticity results in a smaller change in demand as the price changes. For instance, customers might be less receptive to small price increases when an item has a lower price. They might therefore exhibit comparable levels of demand at low price points.

## How to calculate elasticity midpoint

The price elasticity midpoint method can be calculated in the following five steps:

### 1. Prepare a demand curve

Access the demand curve you want to examine to start the process. It should include a price on the Y-axis, a quantity on the X-axis, and should reflect demand.

### 2. Note the key data points

Next, choose the two curve points that you want to compare. Consider evaluating the price elasticity at two significant price points, for instance. Take note of the two prices (P1 and P2) and the quantities (Q1 and Q2) that correspond to them.

### 3. Apply the numbers to the formula

Then enter the numbers into the corresponding spaces in the formula for the midpoint of standard elasticity. Use a calculator to do the math.

### 4. Make the result absolute

Once youve calculated the elasticity midpoint, make the result absolute. In other words, eliminate the negative indication to achieve a positive outcome.

### 5. Analyze the result

Finally, review what the result means:

## Elasticity midpoint example

You can better understand the elasticity midpoint by reading through the following example and the associated calculation:

### Example 1

Use these data points for the example:

The price elasticity from point 2 to point 1 can then be determined using the following formula:

(100 – 500) / [(100 + 500) / 2] / (10 – 1) / [(10 + 1) / 2] = -0. 81.

The absolute value of the result is 0. 81, which is between zero and one. This indicates that there isn’t much of a change in demand as the price changes because the price elasticity in this situation is inelastic.

### Example 2

For another example, consider the following data points:

Then use the elasticity midpoint formula:

(100 – 10 / [(100 + 10) / 2] / (1 – 10) / [(1 + 10) / 2] = 1.

The value here is zero, indicating a unitary or neutral price elasticity. Demand essentially remains unchanged as the price changes.

## FAQ

What is the midpoint formula for elasticity?

Arc elasticity uses a midpoint between two chosen points on the demand curve to measure elasticity at the midpoint between the two points. The formula for calculating the arc elasticity of demand is Arc Ed = [(Qd2 – Qd1) / midpoint Qd] [(P2 – P1) / midpoint P].

What is the midpoint method formula?

By dividing the percentage change in purchase quantity by the percentage change in price, the midpoint formula determines the price elasticity of demand. The original and updated values are subtracted, and the result is divided by their average to determine the percentage changes.

What is the midpoint formula in economics example?

Start by subtracting 40 from 50 to realize that you are selling 10 fewer units as a result of the price increase. The average is then obtained by adding the two amounts and dividing by two; in this case, (40 + 50)/2 = 45.

How do you calculate midpoint using PED?

Start by subtracting 40 from 50 to realize that you are selling 10 fewer units as a result of the price increase. The average is then obtained by adding the two amounts and dividing by two; in this case, (40 + 50)/2 = 45.