Price & Quantity Inputs
Elasticity Results
The Midpoint Elasticity Calculator uses the midpoint formula to determine the Price Elasticity of Demand (PED). This economic metric measures how responsive the quantity demanded of a good is to a change in its price.
Why Use the Midpoint Method?
Standard percentage change calculations yield different elasticity results depending on whether the price is increasing or decreasing. The midpoint method solves this asymmetry by dividing the change in price and quantity by their respective averages (midpoints) rather than their initial values. This guarantees the same elasticity coefficient regardless of the direction of the price change.
The Midpoint Formula:
E = [ (Q2 - Q1) / ((Q1 + Q2) / 2) ] ÷ [ (P2 - P1) / ((P1 + P2) / 2) ]
While the raw result is typically a negative number (due to the Law of Demand), economists focus on the absolute value (|E|) to classify how elastic the product is.
How to Use This Tool
- Initial Price (P1) & Quantity (Q1): Enter the original price of your product and how many units were sold at that price.
- New Price (P2) & Quantity (Q2): Enter the updated price and the new number of units sold.
- Review your Absolute Midpoint Elasticity. The calculator will automatically classify the demand type based on this coefficient.
- Check the midpoint percentage changes to see exactly how dramatically price and demand shifted relative to their averages.
Frequently Asked Questions
What does "Inelastic" demand mean?
If your absolute elasticity is less than 1, demand is considered inelastic. This means consumers are not highly sensitive to price changes. For example, if the price of life-saving medicine goes up by 20%, demand might only drop by 5%. Because the drop in volume is smaller than the increase in price, raising prices on inelastic goods generally increases total revenue.
What does "Elastic" demand mean?
If your absolute elasticity is greater than 1, demand is elastic. Consumers are highly sensitive to price changes. If you raise the price of a luxury good by 10%, demand might plummet by 25%. Raising prices on highly elastic goods usually decreases total revenue because the lost sales volume outweighs the higher price margin.
What is Unit Elasticity?
Unit elasticity occurs when the absolute elasticity is exactly 1. This means the percentage change in quantity demanded is exactly equal to the percentage change in price. In this rare scenario, a price change leaves the total revenue completely unchanged.