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Consider the following table of the incremental claims on a portfolio of insurance poli- cies. Accident Earned Development year Year Premium 1 2 3 2018
Consider the following table of the incremental claims on a portfolio of insurance poli- cies. Accident Earned Development year Year Premium 1 2 3 2018 149 a 27 19 2019 211 82 57 2020 195 63 E It is assumed that claims are fully developed within three development years. Answer parts (a) and (b) (independently) based on the above information. (a) (10 marks Suppose that, using the chain ladder method, the total reserve to be held at the end of 2020 is 94. Determine a. = (b) [7 marks) Suppose that a = 59. Moreover, the ultimate loss ratios for underwriting years 2019 and 2020 are expected to be in line with year 2018. Use the Bornhuetter- Ferguson method to estimate the values of B, 0 and e in the lower triangle. Consider the following table of the incremental claims on a portfolio of insurance poli- cies. Accident Earned Development year Year Premium 1 2 3 2018 149 a 27 19 2019 211 82 57 2020 195 63 E It is assumed that claims are fully developed within three development years. Answer parts (a) and (b) (independently) based on the above information. (a) (10 marks Suppose that, using the chain ladder method, the total reserve to be held at the end of 2020 is 94. Determine a. = (b) [7 marks) Suppose that a = 59. Moreover, the ultimate loss ratios for underwriting years 2019 and 2020 are expected to be in line with year 2018. Use the Bornhuetter- Ferguson method to estimate the values of B, 0 and e in the lower triangle
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