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Table 6 Correlation between different LOBs

From: Claim reserving for insurance contracts in line with the International Financial Reporting Standards 17: a new paid-incurred chain approach to risk adjustments

s

Paid loss

Incurred claim

\(\rho ^{\xi }_{s,(1,2)}\)

\(\rho ^{\xi }_{s,(1,3)}\)

\(\rho ^{\xi }_{s,(2,3)}\)

\(\rho ^{\zeta }_{s,(1,2)}\)

\(\rho ^{\zeta }_{s,(1,3)}\)

\(\rho ^{\zeta }_{s,(2,3)}\)

0

0.9273

0.8112

0.9347

0.7778

0.6865

0.8002

1

0.9175

0.8016

0.8003

0.8507

0.8196

0.6073

2

0.9245

0.8276

0.7583

0.8656

0.8448

0.7838

3

0.9318

0.8542

0.7750

0.8151

0.8543

0.7048

4

0.9306

0.8790

0.7798

0.6024

0.7517

0.5583

5

0.9072

0.8794

0.7540

0.3498

0.6470

0.2409

6

0.8892

0.9018

0.7526

− 0.0206

0.4208

0.4499

7

0.8897

0.8576

0.7702

0.4317

0.6922

0.4931

8

0.8404

0.8379

0.6583

− 0.0904

− 0.1547

0.3478

9

0.7751

0.7539

0.6738

0.3650

0.4274

0.6494

10

0.6963

0.6864

0.8090

− 0.6999

− 0.6689

0.3363