Question: Please help me to solve the questions below. A sample of a reinsurer's payments made under a proportional reinsurance arrangement consists of the following values,

Please help me to solve the questions below.

A sample of a reinsurer's payments made under a proportional reinsurance arrangement consists of the following values, in units of thousands of pounds: 4.6. 6.8. 22.9. 1.4. 3.8. 10.2. 19.4. 32.1 If the original claim amounts are modelled using a Gamma(a, 1) distribution, and the retained proportion is 80%, find the distribution of the reinsurer's claims and hence estimate the parameters o and / using a method of moments approach.The table below shows annual aggregate claim statistics for 3 risks over 4 years. Annual aggregate claims for risk i, in year /, are denoted by Xy. Risk. 1 2.517 4.121.280 7.814 7.299,175 2.920 3,814,001 (i) Calculate the value of the credibility factor for Empirical Bayes Model 1. [3] Using the numbers calculated in (i) to illustrate your answer, describe the way in which the data affect the value of the credibility factor. 141 [Total 7]

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