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Firms before merger:
A – 30%B – 20%C – 15%D – 15%E – 10%F – 10%
So the firms used in the 4-firm concentration ratio are A, B, C and D (4 top firms) = 30 + 20 + 15 + 15 = 80%.
HHI also uses the same 4 top firms.
After the merger, the firms will look like this:
NewCo – 30% + 20% = 50%C – 15%D – 15%E – 10%F – 10%
So the firms used in the 4-firm concentration ratio and HHI are NewCo, C, D and E (4 top firms).
Therefore 4-firm concentration ratio after merger = 50 + 15 + 15 + 10 = 90%.
HHI therefore = 0.50² + 0.15² + 0.15² + 0.10² = 0.305