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4/18          M97/February 2018  Reinsurance




                         Table 4.9: Calculation of premium reserve
                         Premium reserve for prior year                                       200.25
                                                         Direct          Reinsurance         Retained
                         Premium written                1,986.47           564.26            1,422.21
                         Premium earned                 1,931.43           548.63            1,382.80
                         Claims                         1,165.39           312.36              853.03


                         Month           Monthly             Earned premium             Premium reserve
                                         premium
                                                      Fraction         Amount        Fraction    Amount
                         January          70.77        23/24            67.82          1/24        2.95
                         February         74.83        21/24            65.48          3/24        9.35
                         March            68.58        19/24            54.29          5/24       14.29
    4
    Chapter              April            58.69        17/24            41.57          7/24       17.12
                         May
                                                                                       9/24
                                                                                                  20.76
                                                                        34.61
                                          55.37
                                                       15/24
                         June             45.25        13/24            24.51         11/24       20.74
                         July             43.54        11/24            19.96         13/24       23.58
                         August           32.15         9/24            12.06         15/24       20.09
                         September        31.42         7/24             9.16         17/24       22.26
                         October          28.26         5/24             5.89         19/24       22.37
                         November         27.84         3/24             3.48         21/24       24.36
                         December         27.56         1/24             1.15         23/24       26.41
                         Total           564.26                        339.98                    224.28          Reference copy for CII Face to Face Training
                         Ceded premium written in accounting year                           564.26
                         Premium reserve for previous year after deduction of 35% commission  +  130.16
                         (35% of 200.25)
                         Premium reserve for current year after deduction of 35% commission  –  145.79
                         (35% of 224.28)
                         Ceded reinsurance premium earned in the current accounting year  =  548.63


                        The claims occurring in an accounting year will not necessarily be completely paid in that same
         Insurer must set up a
         claims reserve  accounting year. For those that have not yet been settled, the insurer must set up a claims reserve.
                        However, the insurer will pay claims from previous accounting years for which reserves have been
                        previously set up. The claims payments made during the accounting year are, therefore, made up of
                        payments in respect of claims arising during the accounting year and also claims from the previous
                        accounting years.
                        At the end of the previous year there would be a reserve for outstanding claims. This reserve for the
                        previous year is reduced, providing the reserve was sufficient, to the extent of these claims being paid
                        during the course of the accounting year. The previous year’s reserve is subtracted from the paid claims.
                        The reserve for claims outstanding at the end of the accounting year, that is from the accounting year
                        and previous years, is added to the paid claims.
                        Paid claims for the accounting year                               261.86
                        Reserve for outstanding claims at the end of the accounting year  +  188.95
                        Reserve for outstanding claims at the end of the previous year  –  138.45
                        Claims incurred for the accounting year                        =  312.36

                        It should be now possible to determine the overall status of the current portfolio.
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