Lerner Index Calculator

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Lerner index

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What is Lerner Index?

The Lerner index expresses the gap between a product’s price and marginal cost as a share of price. Economists use this price-cost margin as one indicator when studying market power. An index of 0 means price equals marginal cost; positive values mean price is above marginal cost.

The calculation is simple, but obtaining a defensible marginal cost is not. Accounting records often show average or total cost rather than the cost of producing one additional unit. The index should therefore be read with the cost definition and market setting attached.

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How to Use This Calculator

  1. Enter the selling price for one comparable unit and select its currency.
  2. Enter marginal cost for that same unit and choose the same currency.
  3. Calculate. The difference is divided by price and displayed as a decimal index.

Both figures must cover the same product, quantity, time and currency. If price includes tax while marginal cost is recorded before tax, first put them on a consistent basis.

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Formula Used

Lerner index = (price − marginal cost) ÷ price

Price must be greater than zero. When marginal cost lies between zero and price, the index lies between 0 and 1. Marginal cost above price produces a negative value, which indicates a negative price-cost margin for the entered unit rather than a calculation error.

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Variables Explained

TermMeaning on this page
priceSelling price per unit on the chosen basis.
marginal costIncremental cost of producing or supplying one additional unit.
price − marginal costAbsolute price-cost margin per unit.
Lerner indexMargin divided by price, reported here as a decimal.
currencyMust match for price and cost; it cancels from the ratio.
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Worked Example

Assume a unit sells for 20 USD and its marginal cost is 12 USD:

L = (20 − 12) ÷ 20 = 8 ÷ 20 = 0.400

The price-cost gap is 8 USD, representing 40% of the selling price. If both figures were accurately converted to another currency at the same rate, the index would remain 0.400.

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Why Use This Calculator?

A larger positive index represents a wider entered price-cost margin. It does not automatically prove unlawful monopoly power or explain why the margin exists. Demand, fixed and sunk costs, product differentiation, regulation, innovation, capacity constraints and measurement error can all matter.

The U.S. Department of Justice has described the Lerner index as a short-run market-power measure while also warning that price-cost margins can be unsatisfactory evidence of monopoly power by themselves. Use it as one observation within a fuller competition analysis.

Document how marginal cost was estimated. Replacing it with average total cost changes the meaning, even if that number is easier to obtain from financial statements.

Cost-basis example: if the 12 USD figure includes fixed rent allocated per unit rather than the cost of producing one more unit, the resulting 0.400 is not a textbook Lerner index even though the arithmetic is correct. Estimating marginal cost may require operational or econometric evidence rather than a single income-statement line.

The measure can also change with output. A factory near capacity may face a high cost for the next unit, while the same firm at a lower output could face a different incremental cost. Prices may vary across customers or time as well. Record the product, market, quantity and period alongside the index. Comparisons are most meaningful when those definitions are aligned, and less meaningful when one observation uses a promotional price while another uses a list price.

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Common Mistakes

    • Entering average total cost when the intended variable is marginal cost.
    • Using price per item and cost per batch.
    • Mixing currencies or tax bases.
    • Reading 0.4 as 0.4% rather than a 40% price share.
    • Treating one index value as proof of a legal or competitive conclusion.
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Frequently Asked Questions

What does a Lerner index of 0.4 mean?

The entered price exceeds entered marginal cost by an amount equal to 40% of price.

Is the index a percentage or decimal?

This page displays a decimal. Multiply 0.400 by 100 to describe a 40% price-cost margin.

Can the Lerner index be negative?

Yes. It is negative when entered marginal cost exceeds price, indicating a negative margin for that unit and period.

Why must price and cost use the same currency?

Subtraction requires comparable money amounts. Once both values use the same currency, that common unit cancels in the ratio.

Can I use average cost instead of marginal cost?

Doing so creates a different price-cost measure. The Lerner definition specifically uses marginal cost, meaning the cost associated with one additional unit.

Does a high value prove monopoly power?

No. It can be evidence relevant to a market analysis, but cost measurement, demand conditions and other economic and legal facts must also be assessed.

Does changing currency alter the index?

A consistent conversion of both price and marginal cost by the same exchange rate leaves the ratio unchanged, apart from rounding.

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Sources & References