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10/16         M97/February 2018  Reinsurance




                         Figure 10.3: Exposure method






                                          40


                                          30
                                    A axis

                                          20


                                          10



                                           0
                                                     25      45      65       85      100

                                                                 B axis

                        Figure 10.3 is an example of a rating diagram, which a reinsurer may use to ascertain the proportion of
                        the reinsured’s premium income for each band of risks, according to values or sums insured, assuming a
                        deductible in the first instance of £100,000. The A axis shows the percentage of the reinsured’s premium
                        income for the band/class of risk. The B axis denotes the ratio of the deductible to the average value of
                        the band/class of risk.

                        If average value for band = £135,000 and deductible = £100,000:
                                     =
                        Ratio  =  100  ×100 74%                                                                  Reference copy for CII Face to Face Training
                              135
                        For this ratio of deductible to average value of the band, and using the diagram, the reinsurer will want
                        12% of the premium income of the band for the cover, according to its experience and the formula it
                        uses. Other reinsurers may have similar rating diagrams but their values may be different.

                         Table 10.3: Exposure method
                             Deductible/average value       Reinsurer’s %            Portion of reinsured’s
                                     %                       of premium               premium for band
                                                                                            £
                                    143                         nil                         nil
                                     74                         12                        486,000
                                     59                         15                        573,750

                                     38                         21                        409,500
                                     26                         28                        159,600
                                     23                         31                         99,980
                                                    Total premium                        1,728,830


                        This amount can be converted into an appropriate percentage of the reinsured’s total risk premium and
                        may be further loaded to take account of expenses, contingency and profit to the reinsurer.
    10
    Chapter             C5C Key rating considerations
                        The key features for the calculation of the excess of loss premiums for a catastrophe programme are:

                        • The perils that give rise to the catastrophe exposure, e.g. earthquake, hurricane, flood etc.
                        • The aggregate of the sums insured exposed, after taking into account per risk reinsurance, for the
                          specific peril and in a specific region. The market has identified regions of exposure throughout the
                          world, that is, geographical locations where a catastrophe event is likely to occur.
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