Lerner Index - Price-Cost Margin
Use this lerner index calculator to compare price with marginal cost, then read price-cost margin, cost share, markup, and a market-power signal.
Lerner Index
Results
What Is the Lerner Index?
A lerner index calculator measures how much a product's price sits above marginal cost, expressed as a share of price. Use it when reviewing market power in a microeconomics exercise, checking a pricing model, comparing product lines with different marginal costs, or translating a price-cost margin into a single index that is easy to discuss.
- • Market power review: Compare a firm's price with the marginal cost of one added unit to see whether the price-cost margin is positive, zero, or negative.
- • Pricing model check: Test whether a planned selling price leaves a margin above marginal cost before you add fixed-cost, demand, or strategy analysis.
- • Classroom work: Work through economics examples where the formula uses price and marginal cost directly.
- • Product comparison: Use the same method across products so a high-price item and a low-price item can be compared on a common percentage basis.
The index is not the same as accounting profit or gross margin. It focuses on marginal cost, which means the cost of producing or serving one more unit. Fixed costs and overhead may matter for business decisions, but they are not part of the basic Lerner formula unless they affect marginal cost.
Read the result as a pricing signal, not a legal conclusion. A higher positive value can suggest more ability to price above marginal cost, while a value near zero means price and marginal cost are close. A negative value usually means the unit is priced below marginal cost, which may happen during promotions, capacity decisions, regulated pricing, or temporary loss-leader strategies.
When you need a broader price and profit comparison based on sales margin rather than marginal cost, the Margin Calculator is the closer worksheet.
How the Lerner Index Formula Works
This lerner index calculator uses the standard price-cost margin formula. Both inputs must describe the same unit, time period, product, and currency basis.
- Price: The selling price or output price charged for one unit.
- Marginal cost: The added cost of producing, serving, or delivering one more unit.
- Price-cost margin: Price minus marginal cost, shown in currency units.
- Cost share: Marginal cost divided by price, shown as a companion audit check.
The primary result is shown as a percent of price. A result of 40% means the price-cost margin equals 40 cents of each dollar of price. The page also reports the margin in currency units, cost share, and markup on marginal cost. These outputs help catch input mistakes because the index percent and cost share should sum to about 100% when marginal cost is not above price.
Marginal cost is the hard input. Average cost, cost of goods sold, or full unit cost may be useful approximations, but they can produce a different answer from a true marginal-cost estimate. If the data is approximate, label the result as an estimate.
Worked example with a positive price-cost margin
Selling price is $100 per unit and marginal cost is $60 per unit.
Price-cost margin = $100 - $60 = $40. Lerner index = $40 / $100 = 0.40.
The calculator displays 40.00% as the Lerner index, $40.00 as the price-cost margin, and 60.00% as the marginal cost share.
In this example, 40% of the selling price sits above marginal cost. That can be a market-power signal, but it still needs demand, fixed-cost, and competitive context.
According to Britannica Money, the Lerner index is calculated from price and marginal cost and measures the percentage markup a firm can charge over marginal cost.
If your marginal-cost estimate starts from inventory or production cost records, the COGS Calculator can help organize the underlying cost inputs before you decide whether they fit this formula.
Key Concepts Behind the Result
These ideas keep the result grounded in economics instead of treating one percentage as a complete answer.
Marginal cost
Marginal cost is the additional cost of one more unit. It can differ from average cost when fixed costs, capacity limits, labor steps, or supplier tiers are important.
Price-cost margin
The price-cost margin is the currency spread between selling price and marginal cost. The Lerner index converts that spread into a share of price.
Competitive benchmark
A zero index occurs when price equals marginal cost. That benchmark is often associated with highly competitive pricing in simple textbook models.
Market-power signal
A positive index can signal pricing power, but it does not by itself prove market dominance, customer harm, or unlawful conduct.
A useful review starts with the source data. Price should be the realized unit price after recurring discounts or rebates if those discounts affect the sale being measured. Marginal cost should reflect the same unit and period. If you mix list price with a short-run marginal cost estimate from a different period, the result can look precise while answering the wrong question.
The index is most useful when the same definition is applied repeatedly. For example, compare several product lines using the same treatment of shipping, payment fees, returns, and variable labor. That will not make the measure complete, but it will make the comparisons easier to audit.
For a pricing view that uses cost as the denominator instead of price, the Markup Calculator explains the related markup perspective.
How to Use This Calculator
Use the lerner index calculator with consistent unit data, then review the companion outputs before drawing conclusions from the index alone.
- 1 Enter selling price: Use the actual price per unit for the product, service, or contract line you are reviewing.
- 2 Enter marginal cost: Use the added cost of one more unit, not total fixed cost or average cost unless it is your chosen approximation.
- 3 Check the price-cost margin: Confirm the currency spread makes sense before relying on the percent result.
- 4 Read the cost share: Use the cost share to catch data-entry errors and to see how much of price is explained by marginal cost.
- 5 Document assumptions: Record whether the marginal cost came from accounting data, operations data, an estimate, or a scenario model.
Suppose a subscription add-on sells for $25 and the incremental hosting, support, and payment cost is estimated at $5. The index is 80%, the margin is $20, and cost share is 20%. That shows a large price-cost spread, but you would still review churn, support load, fixed platform cost, and alternatives before changing price.
Benefits of Reviewing the Lerner Index
The main benefit is disciplined comparison: price and marginal cost are placed on the same unit basis before the result is interpreted.
- • Pricing clarity: The index separates the unit price-cost spread from broader profit accounting, which keeps pricing discussions focused.
- • Scenario testing: Changing price or marginal cost shows how sensitive the index is to discounts, supplier changes, automation, or fulfillment costs.
- • Comparable outputs: The percent result lets you compare products with different prices without relying only on dollar margins.
- • Audit trail: The companion margin, cost share, and markup outputs make it easier to explain how the final number was produced.
- • Better questions: A high or low result points to follow-up questions about demand elasticity, competition, capacity, regulation, and fixed costs.
The tool is helpful when several people are discussing the same pricing issue from different perspectives. Finance may look at contribution, operations may look at marginal cost, and strategy may look at competitive response. The index gives everyone a shared starting point.
It can also separate unit economics from full-period profitability. A product can have a high index and still lose money if volume is low or fixed costs are large. A product can have a modest index and still matter because it brings repeat customers or uses idle capacity.
After reviewing the unit price-cost spread, use the Profit Margin Calculator to compare that signal with a more familiar profitability measure.
Factors That Affect Your Result
Small changes in the cost definition or price basis can move the index, so review the assumptions before comparing results.
Discounts and rebates
Use net realized price when discounts are routine. List price can overstate the index if customers usually pay less.
Capacity and time horizon
Short-run marginal cost may be low when capacity is idle, while longer-run marginal cost may include labor, equipment, or supplier changes.
Product mix
A blended price or blended cost can hide differences between product versions, customer segments, or contract terms.
Cost allocation
Allocated fixed costs are not the same as marginal cost. Adding them to the input can make the index lower than the standard formula would show.
- • The index is only as reliable as the marginal-cost estimate. If marginal cost is approximated from average cost, the result should be labeled as an approximation.
- • The result does not measure consumer welfare, demand elasticity, market definition, entry barriers, or legal market power by itself.
- • A negative index is mathematically valid when marginal cost exceeds price, but it needs business context such as promotions, capacity, regulation, or temporary pricing.
For research or policy work, pair the result with other indicators and source notes. The same price-cost margin can have different meaning in a commodity market, a patented product, a regulated utility, or a digital service with high fixed cost and low incremental delivery cost.
When you use the lerner index calculator for a report, cite the price source, cost source, period, and reason the marginal-cost estimate is appropriate. That documentation often matters more than another decimal place.
According to NBER, the Lerner index is the ratio of price less marginal cost to price, and measuring marginal cost is a practical challenge.
According to OECD, the Lerner index measures the price-cost margin divided by output price and should be read with other competition indicators because each measure provides limited information on its own.
If fixed costs and explicit expenses are central to the decision, the Accounting Profit Calculator gives a full-period view that the Lerner index intentionally leaves out.
Frequently Asked Questions
Q: How do you calculate the Lerner index?
A: Subtract marginal cost from price, then divide the result by price. For example, if price is $100 and marginal cost is $60, the price-cost margin is $40 and the Lerner index is 40% of price.
Q: What does the Lerner index measure?
A: It measures the price-cost margin as a share of price. Economists often use it as a market-power signal because a positive value means price is above marginal cost, but the result still needs market and cost context.
Q: What does a Lerner index of zero mean?
A: A zero result means price equals marginal cost. In simple competitive models, that is the benchmark where the firm is not pricing above marginal cost. In real data, check that both inputs use the same unit and period.
Q: Can the Lerner index be negative?
A: Yes. A negative result occurs when marginal cost is greater than price. That can happen with promotions, capacity decisions, regulated pricing, or temporary below-cost sales, so the calculator shows the negative value rather than hiding it.
Q: Is Lerner index the same as profit margin?
A: No. Profit margin usually relies on accounting profit or gross profit measures. The Lerner index uses marginal cost specifically, so it is closer to a price-cost margin than a full-period profitability measure.
Q: Why is marginal cost hard to use in practice?
A: Marginal cost is the added cost of one more unit, and many accounting systems report average, standard, or allocated costs instead. When you use an approximation, document the source and avoid comparing it with a true marginal-cost estimate.