Graded Mean Representation Method

η

t₁

T

$\widetilde{GC}\left(t_1,T\right)$

q₁

q₂

Q

1300

1.0131

1.7725

221.2310

49.2151

13.9560

63.1711

1400

1.0056

1.7646

229.8855

52.6022

15.0137

67.6159

1500

0.9978

1.7566

238.5196

55.9155

16.0777

71.9931

1600

0.9898

1.7482

247.1468

59.1577

17.1314

76.2891

1700

0.9815

1.7396

255.7565

62.3203

18.1877

80.5080

β

t₁

T

$\widetilde{GC}\left(t_1,T\right)$

q₁

q₂

Q

2.2

0.8989

1.6803

295.5123

64.0014

21.6908

85.6922

2.3

0.9284

1.7108

271.5838

57.5650

18.9313

76.4963

2.4

0.9517

1.7348

250.6481

51.3864

16.5102

67.8966

2.5

0.9704

1.7541

232.3465

45.6253

14.3950

60.0202

2.6

0.9856

1.7699

216.3574

40.3502

12.5508

52.9009

γ

t₁

T

$\widetilde{GC}\left(t_1,T\right)$

q₁

q₂

Q

0.005

0.9994

1.7599

238.6083

53.9185

15.5880

69.5065

0.01

0.9947

1.7574

238.9000

53.7094

15.6783

69.3877

0.02

0.9854

1.7527

239.4447

53.2897

15.8680

69.1577

0.03

0.9764

1.7480

239.9594

52.8778

16.0464

68.9242

0.04

0.9676

1.7436

240.4329

52.4691

16.2299

68.6990

λ

t₁

T

$\widetilde{GC}\left(t_1,T\right)$

q₁

q₂

Q

2

0.9652

1.7418

239.9190

52.2052

16.2550

68.4602

3

0.9760

1.7477

239.6896

52.7919

16.0505

68.8424

4

0.9854

1.7527

239.4447

53.2897

15.8680

69.1577

5

0.9924

1.7563

239.2420

53.6538

15.7277

69.3815

6

0.9971

1.7587

239.0864

53.8932

15.6331

69.5264

t_m

t₁

T

$\widetilde{GC}\left(t_1,T\right)$

q₁

q₂

Q

0.25

0.9838

1.7522

239.5591

53.2263

15.9135

69.1398

0.35

0.9842

1.7523

239.5239

53.2401

15.9011

69.1412

0.45

0.9854

1.7527

239.4447

53.2897

15.8680

69.1577

0.55

0.9877

1.7534

239.3150

53.3895

15.8019

69.1914

0.65

0.9917

1.7547

239.1251

53.5722

15.6907

69.2629