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Table 6 Example 3. Data set for 24 Taiwanese non-life insurance companies (Kao and Hwang 2008)

From: Network DEA based on DEA-ratio

\(DMU_j\)

 

Operation

Insurance

Direct written

Reinsurance

Underwriting

Investment

  

Expenses(\({\boldsymbol{X}}_{\bf 1}\))

Expenses(\({\boldsymbol{X}}_{\bf 2}\))

Premiums(\({\boldsymbol{Z}}_{\bf 1}\))

Premiums(\({\boldsymbol{Z}}_{\bf 2}\))

Profit(\({\boldsymbol{Y}}_{\bf 1}\))

Profit(\({\boldsymbol{Y}}_{\bf 2}\))

1

Taiwan Fire

1,178,744

673,512

7,451,757

856,735

984,143

681,687

2

Chung Kuo

1,381,822

1,352,755

10,020,274

1,812,894

1,228,502

834,754

3

Tai Ping

1,177,494

592,790

4,776,548

560,244

293,613

658,428

4

China Mariners

601,320

594,259

3,174,851

371,863

248,709

177,331

5

Fubon

6,699,063

3,531,614

37,392,862

1,753,794

7,851,229

3,925,272

6

Zurich

2,627,707

668,363

9,747,908

952,326

1,713,598

415,058

7

Taian

1,942,833

1,443,100

10,685,457

643,412

2,239,593

439,039

8

Ming Tai

3,789,001

1,873,530

17,267,266

1,134,600

3,899,530

622,868

9

Central

1,567,746

950,432

11,473,162

546,337

1,043,778

264,098

10

The First

1,303,249

1,298,470

8,210,389

504,528

1,697,941

554,806

11

Kuo Hua

1,962,448

672,414

7,222,378

643,178

1,486,014

18,259

12

Union

2,592,790

650,952

9,434,406

1,118,489

1,574,191

909,295

13

Shingkong

2,609,941

1,368,802

13,921,464

811,343

3,609,236

223,047

14

South China

1,396,002

988,888

7,396,396

465,509

1,401,200

332,283

15

Cathay Century

2,184,944

651,063

10,422,297

749,893

3,355,197

555,482

16

Allianz President

1,211,716

415,071

5,606,013

402,881

854,054

197,947

17

Newa

1,453,797

1,085,019

7,695,461

342,489

3,144,484

371,984

18

AIU

757,515

547,997

3,631,484

995,620

692,731

163,927

19

North America

159,422

182,338

1,141,951

483,291

519,121

46,857

20

Federal

145,442

53,518

316,829

131,920

355,624

26,537

21

Royal Sunalliance

84,171

26,224

225,888

40,542

51,950

6491

22

Aisa

15,993

10,502

52,063

14,574

82,141

4181

23

AXA

54,693

28,408

245,910

49,864

0.1

18,980

24

Mitsui Sumitomo

163,297

235,094

476,419

644,816

142,370

16,976