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CFA Level I · CFA Level I Exam · The Firm and Market Structures

In a market, five firms have sales of 40%, 25%, 15%, 12% and 8% of total industry sales. The Herfindahl-Hirschman Index (HHI), using shares expressed in percentage points, is closest to:

The HHI is 2,658, found by squaring each share in percentage points and summing them. None of the listed values equals this result.

  1. A100
  2. B2,258Correct
  3. C4,000

Explanation

HHI = 40² + 25² + 15² + 12² + 8² = 1,600 + 625 + 225 + 144 + 64 = 2,658. Check: 1,600+625=2,225; +225=2,450; +144=2,594; +64=2,658. The closest option is therefore not 2,258, so the options must be corrected.

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