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CFA Level I · CFA Level I Exam · Company Analysis: Past, Present, and Future

Firm X competes in an industry where the top four firms hold 80% of sales. Firm X has a market share of 30% and its competitors' shares are 25%, 15% and 10%. The remaining 20% is split among many small firms. The Herfindahl-Hirschman Index calculated using only the four largest firms' shares (in percentage points) is closest to:

The four-firm HHI is closest to 1,850. Squaring each share in percentage points gives 900, 625, 225 and 100, which sum to 1,850. This indicates a moderately concentrated industry, with the small firms' contribution ignored.

  1. A1,600
  2. B1,850Correct
  3. C2,000

Explanation

HHI = 30² + 25² + 15² + 10² = 900 + 625 + 225 + 100 = 1,850. A distractor of 1,600 is 80², the sum treated as one share, and 2,000 adds guessed small-firm contributions.

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