1. Assume you are given the following table of claims per year on a group of insurance policies. Policy Year Development Year 0 1 2 3 4 2014 117.86 77.72 77.93 44.03 14.86 2015 182.84 88.90 40.42 40.23 2016 151.66 127.39 59.69 2017 178.50 101.98 2018 118.18 a) Using the volume weighted development factors, determine the reserve that should be held for the incurred but not reported claims. b) Using the year weighted development factors, determine the reserve that should be held for the incurred but not reported claims. c) Now use the volume weighted development factors but assume historical inflation with an annual effective rate of 3%. Do not assume any inflation in the future. Determine the reserve that should be held for the incurred but not reported claims.

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1. Assume you are given the following table of claims per year on a group of insurance
policies.
Policy
Year
Development Year
0
1
2
3
4
2014 117.86
77.72
77.93
44.03
14.86
2015
182.84
88.90
40.42
40.23
2016
151.66 127.39
59.69
2017
178.50 101.98
2018
118.18
a) Using the volume weighted development factors, determine the reserve that should be
held for the incurred but not reported claims.
b) Using the year weighted development factors, determine the reserve that should be
held for the incurred but not reported claims.
c) Now use the volume weighted development factors but assume historical inflation with
an annual effective rate of 3%. Do not assume any inflation in the future. Determine the
reserve that should be held for the incurred but not reported claims.
Transcribed Image Text:1. Assume you are given the following table of claims per year on a group of insurance policies. Policy Year Development Year 0 1 2 3 4 2014 117.86 77.72 77.93 44.03 14.86 2015 182.84 88.90 40.42 40.23 2016 151.66 127.39 59.69 2017 178.50 101.98 2018 118.18 a) Using the volume weighted development factors, determine the reserve that should be held for the incurred but not reported claims. b) Using the year weighted development factors, determine the reserve that should be held for the incurred but not reported claims. c) Now use the volume weighted development factors but assume historical inflation with an annual effective rate of 3%. Do not assume any inflation in the future. Determine the reserve that should be held for the incurred but not reported claims.
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