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In 1986, Pepsi announced its intention to buy 7-Up, and Coca-Cola proposed buyin

ID: 2441732 • Letter: I

Question

In 1986, Pepsi announced its intention to buy 7-Up, and Coca-Cola proposed buying Dr Pepper. The table be- low shows the market shares held by the soft-drink firms in 1986. Assume that the remaining 15% of the mar- ket is composed of 15 firms, each with a market share of 1%.

Company market share (percent)

Coca-Cola 39

PepsiCo 28

Dr Pepper 7

7-Up. 6

1. Calculate the Herfindahl–Hirschman Index (HHI) for the industry as it was structured in 1986.

2. Calculate the postmerger HHI if only PepsiCo had bought 7-Up.

3. Calculate the postmerger HHI if only Coca-Cola had bought Dr Pepper.

Explanation / Answer

HHI is the sum of square of the individual market share

1. HHI is 2405

Firm name

Market Share

HHI

Coca-Cola

39

39^2 =1521

PepsiCo

28

28^2=784

Dr Pepper

7

7^2=49

7-Up.

6

6^2=36

1

1

1^2=1

2

1

1

3

1

1

4

1

1

5

1

1

6

1

1

7

1

1

8

1

1

9

1

1

10

1

1

11

1

1

12

1

1

13

1

1

14

1

1

15

1

1

2405

2. HHI is 2741

Firm name

Market Share

HHI

Coca-Cola

39

1521

PepsiCo+7-Up.

34

1156

Dr Pepper

7

49

1

1

1

2

1

1

3

1

1

4

1

1

5

1

1

6

1

1

7

1

1

8

1

1

9

1

1

10

1

1

11

1

1

12

1

1

13

1

1

14

1

1

15

1

1

2741

3. HHI is 2951

Firm name

Market Share

HHI

Coca-Cola+Dr Pepper

46

2116

PepsiCo

28

784

7-Up.

6

36

1

1

1

2

1

1

3

1

1

4

1

1

5

1

1

6

1

1

7

1

1

8

1

1

9

1

1

10

1

1

11

1

1

12

1

1

13

1

1

14

1

1

15

1

1

2951

Firm name

Market Share

HHI

Coca-Cola

39

39^2 =1521

PepsiCo

28

28^2=784

Dr Pepper

7

7^2=49

7-Up.

6

6^2=36

1

1

1^2=1

2

1

1

3

1

1

4

1

1

5

1

1

6

1

1

7

1

1

8

1

1

9

1

1

10

1

1

11

1

1

12

1

1

13

1

1

14

1

1

15

1

1

2405