Price Elasticity of Demand Calculator
Calculate PED and determine if demand is elastic, inelastic, or unit elastic.
Calculation Method
Quantity Demanded
Price
PED Coefficient (Absolute Value)
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Standard Method
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% Change in Qty
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% Change in Price
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PED (with sign)
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Classification
Demand Elasticity Interpretation
Elastic
e.g. luxury cars
Unit Elastic
revenue maximized
Inelastic
e.g. insulin, fuel
Perfectly Inelastic
qty never changes
Demand Curve Visualisation
Calculation Details
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How to use this calculator
There are two methods available. The toggle at the top switches between them.
Standard method uses the original quantity and price as the base for percentage changes. It’s what most introductory textbooks use and it’s faster to calculate by hand.
Midpoint method (also called the arc elasticity method) uses the average of the two quantities and the average of the two prices as the base. It gives the same result whether price went up or down, which the standard method doesn’t. Use the midpoint method when price changes are large (over 20%) or when you need consistency across different scenarios.
The four inputs:
Original Quantity (Q1) is how many units were sold before the price change. Use whatever unit you’re tracking: units per month, weekly orders, annual sales volume. The unit just needs to stay consistent between Q1 and Q2.
New Quantity (Q2) is how many units are sold after the price change. If demand fell, this will be lower than Q1. If it somehow rose after a price increase (a Giffen good situation), it’ll be higher, though that’s rare.
Original Price (P1) is the price before the change. Dollars, euros, pence: any currency works as long as P1 and P2 use the same one.
New Price (P2) is the price after the change.
Then hit Calculate. The result panel shows the PED coefficient, the percentage change in quantity, the percentage change in price, and a classification: elastic, inelastic, unit elastic, or perfectly inelastic.
Example: a grocery store raises apple prices
A supermarket raises apples from $1.20/lb to $1.50/lb. Weekly sales drop from 800 lbs to 640 lbs.
Q1: 800 / Q2: 640 / P1: $1.20 / P2: $1.50
% change in quantity = (640 − 800) / 800 × 100 = −20%
% change in price = (1.50 − 1.20) / 1.20 × 100 = +25%
PED = −20% / +25% = −0.80
Absolute value: 0.80. That’s inelastic. A 25% price increase only reduced demand by 20%. Revenue went up.
When you’re looking at the result, the calculator reports PED as a negative number (because when price rises, quantity falls). Many textbooks and business contexts drop the minus sign and report the absolute value. Both are correct: the sign just indicates the direction of the relationship. The magnitude is what drives the business decision.
What price elasticity of demand actually is
Price elasticity of demand measures how sensitive consumers are to price changes for a specific product. Specifically, it answers: if the price goes up by 1%, how much does quantity demanded change?
The key insight is that sensitivity varies enormously by product. Insulin buyers barely change their purchases when prices rise because they have no alternative. Airline passengers shopping for leisure trips will switch dates, airlines, or cancel entirely when prices rise 20%. Same mechanism, completely different outcomes.
PED isn't a measure of how much prices change. It's a measure of how much consumers care. A product with a PED of −0.2 means consumers barely react to price. A PED of −2.5 means they react strongly. That difference determines whether a price increase makes you more money or less.
PED almost always comes out negative because demand and price move in opposite directions: prices go up, quantity demanded goes down. That’s the law of demand. The coefficient is negative by construction. So when people say “PED is 0.8,” they usually mean the absolute value is 0.8, and the actual coefficient is −0.8.
The formula and the calculation
Standard method:
Midpoint method:
Step-by-step using the midpoint formula for the apple example above:
% change in quantity (midpoint) = (640 − 800) / ((800 + 640) / 2) = −160 / 720 = −22.2%
% change in price (midpoint) = (1.50 − 1.20) / ((1.20 + 1.50) / 2) = 0.30 / 1.35 = +22.2%
PED = −22.2% / +22.2% = −1.00 (unit elastic)
The midpoint result came out different from the standard method here because the price change was large (25%). That’s exactly when the midpoint method matters: it gave a cleaner, more symmetric result. For a 5% price change, both methods would be nearly identical.
Elastic vs inelastic: the distinction that drives revenue decisions
The classification of your PED result isn’t just a label. It directly tells you what happens to total revenue when you change prices.
| PED (absolute value) | Classification | What happens to revenue if you raise prices |
|---|---|---|
| 0 | Perfectly inelastic | Revenue rises proportionally |
| 0 < PED < 1 | Inelastic | Revenue rises |
| PED = 1 | Unit elastic | Revenue stays the same |
| PED > 1 | Elastic | Revenue falls |
This is called the Total Revenue Rule. When demand is inelastic, consumers don’t cut back much when prices rise, so you collect more revenue despite selling fewer units. When demand is elastic, consumers cut back significantly when prices rise, and the lost volume outweighs the higher price per unit.
Inelastic example: Gasoline, PED ≈ −0.25. If a gas station raises prices 10%, quantity sold drops only 2.5%. Revenue goes up. Consumers grumble but fill their tanks anyway because they have to get to work.
Elastic example: Restaurant meals, PED ≈ −0.80. Raise prices 10%, quantity drops 8%. Revenue goes up slightly. But push prices up 20% and quantity drops 16%. The math still works here. Now make it PED = −1.5. Raise prices 10%, quantity drops 15%. Revenue falls. Consumers start cooking at home or switching restaurants.
The breakeven is PED = −1 (unit elastic). At that exact point, a price change in either direction leaves total revenue unchanged.
Benchmarks by product category
These are empirically estimated ranges from economics research. They’re averages: actual elasticity depends on the specific market, available alternatives, and consumer income levels.
| Product / Category | PED (absolute value) | Classification |
|---|---|---|
| Insulin and essential medications | 0.05 – 0.10 | Highly inelastic |
| Gasoline (short-run) | 0.20 – 0.30 | Inelastic |
| Cigarettes | 0.30 – 0.50 | Inelastic |
| Food at home (aggregate) | 0.40 – 0.60 | Inelastic |
| Restaurant meals | 0.70 – 0.90 | Approaching unit elastic |
| Airline tickets (economy) | 1.00 – 1.50 | Elastic |
| Luxury cars | 1.50 – 2.50 | Elastic |
| Designer fashion / luxury goods | 2.00 – 4.00 | Highly elastic |
A few patterns worth noting. Necessities with few alternatives (insulin, basic food) are inelastic because consumers have no choice. Products with many close substitutes (restaurant meals, economy flights) are more elastic because consumers can switch. Luxuries tend to be highly elastic because they’re optional.
Time horizon also matters. Short-run PED is almost always lower (less elastic) than long-run PED. After a gasoline price shock, most people can’t immediately switch to public transit or buy an electric car. Two years later, more of them have. Long-run elasticity for gasoline is estimated around 0.60, roughly double the short-run figure.
Real-world examples
Grocery store: fresh produce vs canned goods
A supermarket wants to raise prices on two product lines. Fresh strawberries and canned soup. Should they treat them the same?
Strawberries: Q1 = 500 pints/week, Q2 = 380 pints/week after price rises from $3.00 to $4.00.
PED = [(380−500)/500] / [(4.00−3.00)/3.00] = −24% / +33.3% = −0.72
Revenue before: 500 × $3.00 = $1,500. Revenue after: 380 × $4.00 = $1,520. Small revenue gain. But strawberries are seasonal, have substitutes (other fruits), and feel like a luxury. Customers switched to blueberries.
Canned soup: Q1 = 1,200 cans/week, Q2 = 1,140 cans/week after price rises from $1.50 to $1.80.
PED = [(1,140−1,200)/1,200] / [(1.80−1.50)/1.50] = −5% / +20% = −0.25
Revenue before: $1,800. Revenue after: $2,052. Clear revenue gain. Canned soup is a pantry staple. Customers are price-insensitive.
The takeaway: not all grocery products behave the same way. Fresh, seasonal, substitutable items are more elastic than shelf-stable staples. A blanket price increase across both categories produces very different outcomes.
Airline pricing: economy vs business class
A regional airline is evaluating whether to raise economy fares by 15% on its busiest route.
Economy seats: 180 passengers/flight × 4 flights/day = 720 daily passengers at $180 average fare.
Estimated PED for economy leisure travel on this route: −1.20 (elastic, because travellers have rail and road alternatives).
Expected quantity change: −1.20 × 15% = −18% fewer passengers.
New daily passengers: 720 × 0.82 = 590.
Revenue before: 720 × $180 = $129,600. Revenue after: 590 × $207 = $122,130.
The 15% fare increase loses revenue. Economy passengers on a route with good alternatives are elastic.
Compare to business class (PED ≈ −0.3): same 15% fare increase cuts business passengers by only 4.5%. Revenue goes up. Business travellers don’t have the same price sensitivity because their companies pay and they value flexibility.
PED vs cross-price elasticity: they’re not the same thing
This is a common mix-up. Price elasticity of demand (PED) measures how a product’s own demand responds to its own price change. Cross-price elasticity (XPE) measures how a product’s demand responds to a different product’s price change.
If coffee prices rise and you want to know how many fewer coffees people buy: that’s PED for coffee.
If coffee prices rise and you want to know how many more teas people buy: that’s cross-price elasticity between tea (demand) and coffee (price).
They use the same inputs but ask completely different questions. If you’re analyzing your own pricing and its effect on your own sales volume, you want PED. If you’re analyzing a competitor’s price move and its effect on your sales, you want cross-price elasticity.
There’s also price elasticity of supply (PES), which is a different concept entirely. PES measures how much a producer’s output changes in response to a price change. PED measures consumer behavior. PES measures producer behavior.
Common mistakes
Dropping the negative sign without realizing it. PED is naturally negative. When you drop the sign and work with absolute values (as most business contexts do), you need to remember that “inelastic” means absolute value less than 1, not negative less than 1. Both −0.8 and 0.8 describe inelastic demand. Just be consistent in how you’re reporting it.
Using the standard method for large price changes. If price changed by 30%, the base you choose (P1 vs the midpoint of P1 and P2) makes a meaningful difference to the result. The midpoint method is designed for exactly this situation. The standard method is fine for small changes (under 10-15%) but produces asymmetric results with large ones.
Confusing PED with cross-price elasticity. They look similar and use similar inputs, but they answer different questions. PED measures own-price sensitivity. Cross-price elasticity measures the relationship between two different products. If you’re measuring how Pepsi demand responds to a Pepsi price change, that’s PED. If you’re measuring how Pepsi demand responds to a Coca-Cola price change, that’s cross-price elasticity.
Treating a single observation as the true elasticity. PED changes over time. Demand for a product today reflects the availability of alternatives, consumer habits, and income levels at this moment. A PED measured in 2019 for an airline route may look different in 2025 if new rail connections opened. Use recent data for current pricing decisions.
Ignoring the time horizon. Short-run PED is almost always lower than long-run PED. Immediately after a price increase, consumers may have no alternative and swallow the higher cost. Over 12-24 months, they find alternatives, change habits, or switch. Decisions with long-term pricing implications need long-run elasticity estimates, not just short-run measurements.
The bottom line
Price elasticity of demand is one of the most practical tools in pricing. It tells you exactly how sensitive your customers are to a price change and, by extension, what will happen to your revenue if you move prices up or down.
If your PED is below 1 in absolute value, your customers are relatively insensitive to price. Raising prices increases revenue. If it’s above 1, your customers are sensitive. Raising prices costs you revenue.
The two methods (standard and midpoint) both work. Use midpoint when price changes are large or when symmetry matters. Use standard for quick calculations with small changes.
The classification (elastic, inelastic, unit elastic) isn’t the destination. It’s the start of the pricing decision.
Frequently Asked Questions
What is price elasticity of demand?
Price elasticity of demand (PED) measures how sensitive the quantity demanded of a good is to a change in its own price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price. A PED above 1 (in absolute value) means demand is elastic; below 1 means inelastic. This is distinct from cross-price elasticity, which compares two different goods.
What is the difference between elastic and inelastic demand?
Elastic demand (|PED| > 1) means consumers are highly responsive to price changes — a small price increase causes a large drop in quantity demanded. Inelastic demand (|PED| < 1) means consumers buy roughly the same quantity regardless of price. Necessities like insulin or petrol tend to be inelastic; luxury goods and items with many substitutes tend to be elastic.
Why is price elasticity of demand usually negative?
PED is negative for most goods because of the law of demand: as price rises, quantity demanded falls. This inverse relationship means the percentage changes have opposite signs, giving a negative ratio. Economists often work with the absolute value |PED| to make comparisons easier. A positive PED would indicate a Giffen good or Veblen good — both are very rare exceptions.
What is the midpoint method for calculating PED?
The midpoint method uses the average of the start and end values as the denominator: PED = ((Q2−Q1)/((Q2+Q1)/2)) / ((P2−P1)/((P2+P1)/2)). This avoids the asymmetry of the standard method, where calculating a price increase gives a different elasticity than the same price decrease between the same two points. The midpoint method is generally preferred in academic economics.
What does unit elastic demand mean?
Unit elastic demand (|PED| = 1) means the percentage change in quantity demanded exactly equals the percentage change in price. When demand is unit elastic, a firm's total revenue stays constant when the price changes. This is also the point at which total revenue is maximised — raising price above this point reduces revenue, and lowering it also reduces revenue.
How does price elasticity of demand affect total revenue?
If demand is elastic (|PED| > 1), raising price decreases total revenue because the quantity fall more than offsets the higher price. If demand is inelastic (|PED| < 1), raising price increases total revenue because the quantity falls proportionally less than the price rises. Businesses selling inelastic goods (e.g. petrol, prescription drugs) can raise prices with relatively little loss of volume.
What factors make demand more elastic?
Demand tends to be more elastic when: (1) there are many close substitutes available, (2) the good is a luxury rather than a necessity, (3) the purchase represents a large share of the buyer's income, (4) there is more time for consumers to adjust their behaviour (long run vs short run), and (5) the good is narrowly defined (e.g. "Coke" is more elastic than "fizzy drinks" in general).
What is perfectly inelastic demand?
Perfectly inelastic demand (PED = 0) means quantity demanded does not change at all regardless of price — the demand curve is a vertical line. This is a theoretical extreme. Real-world examples approach it for life-saving medications with no substitutes (such as insulin for type 1 diabetics), or goods mandated by law regardless of cost. In practice, almost all goods have some degree of elasticity.
What is a Giffen good and why does it have positive PED?
A Giffen good is an inferior good for which demand actually increases as price rises, giving a positive PED. This happens when the income effect (feeling poorer after the price rise) dominates the substitution effect and causes people to buy more of the now-pricier staple. The classic example is a basic food staple in extreme poverty. Giffen goods are theoretically possible but extremely rare in practice.
How is own-price elasticity different from cross-price elasticity?
Own-price elasticity of demand (PED) measures how a good's quantity demanded responds to changes in that same good's price. Cross-price elasticity (XPE) measures how the quantity demanded of one good responds to a price change in a different good. PED is almost always negative (law of demand); XPE can be positive (substitutes) or negative (complements). Both are important tools in pricing strategy and economic analysis.
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