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Instructions: Please answer all questions clearly and completely. If you use gra

ID: 1204265 • Letter: I

Question

Instructions: Please answer all questions clearly and completely. If you use graphs or tables in your answers, they must be clear enough that the graders can understand them (this means labeling axes, variables, and so forth). If a question requires you to make calculations, you must show your work.

(5 points) The following table shows the capacity ownership for an electricity market with ten firms. Calculate the HHI for this market. Please round your answer to the nearest whole number.

Firm

Capacity (MW)

A

62

B

35

C

25

D

91

E

123

F

140

G

23

H

31

I

77

J

89

Firm

Capacity (MW)

A

62

B

35

C

25

D

91

E

123

F

140

G

23

H

31

I

77

J

89

Explanation / Answer

Herfindahl-Hirschman Index - HHI' A commonly accepted measure of market concentration. It is calculated by squaring the market share of each firm competing in a market, and then summing the resulting numbers. The HHI number can range from close to zero to 10,000.

Firm

Capacity (MW)

%Share


(%Share)²

A

62

8.908045977011493

79.35328312855066

B

35

5.028735632183908

25.28818205839609

C

25

3.5919540229885056

12.90213370326331

D

91

13.074712643678161

170.94811071475758

E

123

17.67241379310345

312.31420927467303

F

140

20.114942528735632

404.6109129343374

G

23

3.3045977011494254

10.920365966442068

H

31

4.454022988505747

19.838320782137664

I

77

11.063218390804598

122.3948011626371

J

89

12.78735632183908

163.5164817016779

TOTAL

698

1322.086801426873

Firm

Capacity (MW)

%Share


(%Share)²

A

62

8.908045977011493

79.35328312855066

B

35

5.028735632183908

25.28818205839609

C

25

3.5919540229885056

12.90213370326331

D

91

13.074712643678161

170.94811071475758

E

123

17.67241379310345

312.31420927467303

F

140

20.114942528735632

404.6109129343374

G

23

3.3045977011494254

10.920365966442068

H

31

4.454022988505747

19.838320782137664

I

77

11.063218390804598

122.3948011626371

J

89

12.78735632183908

163.5164817016779

TOTAL

698

1322.086801426873