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Price Elasticity of Demand Calculator

Measure price elasticity of demand with the midpoint method, interpret elastic or inelastic demand, and compare the exact revenue effect of a price change.

Published

Demand elasticity
Elastic demand
-1.67
Quantity change
22.22%
Price change
-13.33%
Initial revenue
$160,000.00
Final revenue
$175,000.00
Revenue change
9.38%

A -13.33% price move and 22.22% quantity response gives a midpoint price elasticity of demand of -1.67.

The original price before the change.
$
Units sold or demanded at the original price.
The new price after the change.
$
Units sold or demanded at the new price.

Results update as you type.

Price Elasticity of Demand Calculator

This calculator estimates price elasticity of demand, the microeconomics measure of how much buyers change quantity demanded when the product’s own price changes. It is built for the two-point situation most people actually have: an initial price and quantity, then a final price and quantity after a discount, price increase, promotion, test market, or observed market movement. The calculator uses the midpoint method, reports the percentage change in quantity and price, classifies the result as elastic, inelastic, or unit elastic, and compares initial revenue with final revenue.

Price elasticity of demand is different from the related elasticity tools in this economics group. Use this page when the changed price is the price of the same product whose quantity demanded you are studying. Use the price elasticity of supply calculator when the question is how sellers adjust quantity supplied. Use the income elasticity of demand calculator when income changed. Use the cross price elasticity calculator when another product’s price changed.

What price elasticity of demand means

Price elasticity of demand is a ratio:

price elasticity of demand=% change in quantity demanded% change in price\text{price elasticity of demand} = \frac{\text{\% change in quantity demanded}}{\text{\% change in price}}

For normal downward-sloping demand, the coefficient is negative because price and quantity move in opposite directions. A result of -1.67 means quantity demanded changed about 1.67 times as much as price, in the opposite direction. Many discussions use the absolute value, 1.67, to decide whether demand is elastic.

The interpretation follows three practical bands. If the absolute value is greater than 1, demand is elastic: buyers are relatively responsive, so a price cut may raise revenue and a price increase may reduce revenue. If the absolute value is less than 1, demand is inelastic: quantity is less responsive, so a price increase can raise revenue over the measured range. If the absolute value is exactly or very close to 1, demand is unit elastic and revenue tends to be stable around that movement. These are local readings, not permanent labels for the product at every price.

Midpoint formula used by the calculator

The calculator matches the midpoint, or arc elasticity, method. It divides each change by the average of the initial and final values:

PED=(Q2−Q1)÷(Q1+Q22)(P2−P1)÷(P1+P22)\text{PED} = \frac{(Q_2 - Q_1) \div \left(\frac{Q_1 + Q_2}{2}\right)}{(P_2 - P_1) \div \left(\frac{P_1 + P_2}{2}\right)}

The midpoint method is useful because it does not depend on which point you call the starting point. A move from 800 to 700 dollars and a move from 700 to 800 dollars describe the same two prices, so a two-point elasticity should not change merely because the story is told in reverse. A standard, or point-base, percentage change is still common in business dashboards, but it answers a slightly different question because it treats the first period as the base. For a small price change the two methods are often close; for a large sale or price jump they can differ meaningfully.

Revenue is also computed directly:

revenue=price×quantity\text{revenue} = \text{price} \times \text{quantity}

Worked example matching the default calculator

Suppose the initial price is 800, the initial quantity demanded is 200, the final price is 700, and the final quantity demanded is 250. The midpoint quantity base is the average of 200 and 250, or 225. Quantity rose by 50 units, so the quantity change is 50 divided by 225, which is 22.22 percent.

The midpoint price base is the average of 800 and 700, or 750. Price fell by 100, so the price change is -100 divided by 750, which is -13.33 percent. Dividing 22.22 percent by -13.33 percent gives a price elasticity of demand of -1.67 after rounding. The calculator labels that elastic demand because the absolute value is greater than 1.

Revenue tells the second part of the story. Initial revenue is 800 times 200, or 160,000. Final revenue is 700 times 250, or 175,000. The change is 15,000 more revenue, which is 9.38 percent above the original revenue. In this example, the price cut increased revenue because the quantity response was proportionally larger than the price reduction. That does not automatically prove profit rose, because the additional 50 units also have costs.

Using the result in real decisions

Price elasticity is most useful when the two points are comparable. Keep the same product definition, channel, customer segment, and time window. Weekly units before a promotion should be compared with weekly units during or after the promotion, not with monthly units. If advertising, competitor prices, weather, product availability, or a holiday changed at the same time, note that the elasticity includes those influences unless you adjust the data.

Retailers use price elasticity to judge discount depth. A supermarket item with elastic demand may justify a sale if higher quantity and traffic compensate for the lower unit margin. A subscription service may test whether a price increase creates too many cancellations. Public policy analysts use demand elasticity to estimate how fuel, cigarette, or transit usage responds to taxes and price changes. In each case, the coefficient is an estimate for the measured range, not a universal constant.

Elasticity also interacts with consumer welfare. If a price change prevents mutually beneficial trades, the effect can show up in the deadweight loss calculator. If buyers pay less than they were willing to pay, the gain is part of consumer surplus. For household cash-flow analysis after a price change, the budget calculator can translate the economic result into spending impact.

Tips for better inputs

  • Use quantities demanded or sold, not revenue. Revenue already combines price and quantity.
  • Use prices net of coupons or discounts if that is what customers actually paid.
  • Avoid mixing wholesale and retail prices unless the quantity data uses the same market level.
  • Treat zero or unchanged price movements as invalid for elasticity because the denominator would be zero.
  • Remember the sign: a negative PED is normal; the absolute value drives the elastic or inelastic label.

Formula sources and scope

  • Price Elasticity of Demand and Supply — OpenStax, Rice University; 2022 third edition, section 5.1; Jurisdiction-neutral. Supports: midpoint elasticity = ((Q2-Q1)/((Q1+Q2)/2))/((P2-P1)/((P1+P2)/2)); demand magnitude may be reported as absolute value. Accessed 2026-07-09.
  • Principles of Finance — OpenStax, Rice University (peer-reviewed open textbook); 2022 first edition, ISBN 978-1-951693-54-1; Jurisdiction-neutral finance definitions. Supports: midpoint elasticity = ((Q2-Q1)/((Q1+Q2)/2))/((P2-P1)/((P1+P2)/2)); demand magnitude may be reported as absolute value. Accessed 2026-07-09.

These sources support the stated formula or definition. Results remain estimates based on the entered values and do not replace financial, legal, tax, lending, or investment advice. Compare periods, units, accounting definitions, and jurisdiction-specific rules before acting.

Sources

Frequently asked questions

What does this price elasticity of demand calculator measure?
It measures how strongly quantity demanded changes when price changes between two observed or planned points. The calculator divides the midpoint percentage change in quantity by the midpoint percentage change in price, then labels demand elastic, inelastic, or unit elastic using the absolute value of the coefficient.
Why is price elasticity of demand often negative?
For ordinary demand, price and quantity move in opposite directions. A higher price usually reduces quantity demanded, while a lower price usually raises it. That inverse movement makes the calculated coefficient negative, although managers and textbooks often discuss the absolute value when saying demand is elastic or inelastic.
What is the midpoint method for demand elasticity?
The midpoint method divides each change by the average of the starting and ending values rather than only the first value. That makes the elasticity symmetric: moving from the first price to the second gives the same coefficient as describing the same two points in reverse.
How do I interpret elastic versus inelastic demand?
If the absolute value is greater than one, demand is elastic and quantity changed more than price in proportional terms. If it is less than one, demand is inelastic and quantity changed less than price. A value near one is unit elastic, meaning proportional movements are about equal.
Does a higher revenue result mean the price is optimal?
No. The calculator compares revenue at two points, but profit also depends on unit costs, capacity, inventory, competitor reactions, and how long the demand response lasts. Use the result as evidence about customer sensitivity, not as a complete pricing recommendation by itself.
Can I use this calculator for discounts and promotions?
Yes, if you compare the same product, time period, and quantity unit before and after the promotion. Be careful to separate the price effect from advertising, seasonality, stockouts, or bundled offers, because those factors can change quantity even when elasticity is unchanged.

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