Price Elasticity of Demand Calculator
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The Price Elasticity of Demand (PED) Calculator measures how responsive the quantity demanded of a product or service is to a change in its price. Price elasticity quantifies consumer sensitivity, revealing whether price increases will expand or shrink overall sales revenue.
Understanding PED enables business owners and pricing managers to predict customer behavior, test price increases, optimize discount promotions, and avoid damaging sales volume declines.
Price Elasticity of Demand (PED) Formula
Price Elasticity of Demand is calculated by dividing the percentage change in quantity demanded by the percentage change in price:
PED = % Change in Quantity Demanded / % Change in Price
Standard Percentage Formula:
% Change in Quantity = [ (Q2 - Q1) / Q1 ] × 100
% Change in Price = [ (P2 - P1) / P1 ] × 100
Midpoint Arc Elasticity Formula (Ideal for large price shifts):
PED = [ (Q2 - Q1) / ((Q1 + Q2) / 2) ] / [ (P2 - P1) / ((P1 + P2) / 2) ]
Elasticity Classification & Revenue Matrix
The absolute value of the PED coefficient (|PED|) categorizes consumer demand into five distinct economic tiers:
| PED Value (|PED|) | Demand Classification | Impact of Raising Price on Total Revenue |
|---|---|---|
| |PED| = 0 | Perfectly Inelastic | Demand does not change regardless of price. Total revenue increases linearly with price hikes (e.g., life-saving insulin). |
| |PED| < 1.0 | Inelastic Demand | Quantity drop is smaller than price increase. Total Revenue Increases when price is raised (e.g., gasoline, utilities). |
| |PED| = 1.0 | Unit Elastic Demand | Percentage change in quantity equals percentage change in price. Total Revenue Remains Unchanged (Max Revenue point). |
| |PED| > 1.0 | Elastic Demand | Quantity drop is larger than price increase. Total Revenue Declines when price is raised (e.g., luxury goods, competitive retail). |
| |PED| = ∞ | Perfectly Elastic | Any price increase causes demand to drop to zero immediately (e.g., identical agricultural commodities). |
Step-by-Step PED Calculation Example
Suppose a software company tests raising its monthly subscription fee:
- Initial Price (P1): $10 → Initial Users (Q1): 1,000
- New Price (P2): $12 → New Users (Q2): 700
Step 1: Calculate % Change in Price
[ ($12 - $10) / $10 ] × 100 = +20%
Step 2: Calculate % Change in Quantity
[ (700 - 1,000) / 1,000 ] × 100 = -30%
Step 3: Divide % Change in Quantity by % Change in Price
PED = -30% / +20% = -1.5
Result: Demand exhibits a PED of -1.5 (|PED| = 1.5), confirming Elastic Demand. Because |PED| > 1.0, raising price reduced total revenue from $10,000 (1,000 × $10) to $8,400 (700 × $12).
Frequently Asked Questions (FAQ)
Why is Price Elasticity of Demand usually negative?
PED is negative due to the Law of Demand: as price increases, quantity demanded almost always decreases, and vice versa. Economists frequently drop the negative sign and discuss absolute elasticity (|PED|).
What factors make a product price elastic?
Products tend to be price elastic when many close substitutes exist, when the item is a non-essential luxury, when it represents a large portion of consumer budget, or when consumers have long timeframes to adjust.
How does PED relate to Total Revenue?
If demand is inelastic (|PED| < 1), raising price increases total revenue. If demand is elastic (|PED| > 1), lowering price increases total revenue.
What is Cross Price Elasticity of Demand (XED)?
Cross Price Elasticity measures how the quantity demanded of one good changes when the price of a related substitute or complementary good changes.