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Chapter 8 Contribution and subrogation                                                         8/5




               B1B Independent liability method
               An alternative method for calculating each insurer’s share of a loss is the independent liability method.
               This method calculates the amount payable under each policy as if no other policy existed and the
               insurer was alone in indemnifying the policyholder. The loss is then shared in proportion to the
               independent liabilities of the two policies.

               This method is used where property policies are subject to average or where an individual loss limit
               applies within a sum insured. Independent liability is also the method used for calculating contribution
               in liability insurances.
               The formula used is:
               policy sum insured
                            ×  loss
                total value at risk

                Example 8.2
                Policy A sum insured         US$20,000
                Policy B sum insured         US$40,000

                Both policies are subject to average.
                Total value at risk         US$100,000
                Loss incurred                US$30,000
                Whenever the total value at risk exceeds the total sum insured by all policies, each policy pays:
                 policy sum insured
                              × loss
                 total value at risk
                Policy A pays:
                 20,000
                             =
                       × 30,000 6,000 ( of loss)
                                   1
                                    5
                 100,000
                Policy B pays:
                 40,000
                             =
                       × 30,000 12,000 ( of loss)
                                    2
                                     5
                 100,000
               The total payment, in this example, made by the two insurers is therefore US$18,000. The balance of the
               loss (US$12,000) must be borne by the policyholder as they have not fully insured the total value at risk.  Chapter









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