An insurance portfolio is composed of 30% of good risks, 50% of average risks and 20%...

 

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An insurance portfolio is composed of 30% of good risks, 50% of average risks and 20% of bad risks. The claims distribution is a Gamma type, with the following parameters: Risk Type a 2 4 Good 2 Average 9 2 Bad 17 1 The claim record of a randomly selected risk is 3 and 5 in the first two years. (a) Calculate the Bühlmann credibility factor after two years. (b) Calculate the credibility premium for this risk in the third year using the Bühlmann model. (A) 0.97 (B) 0.95 (C) 0.89 (D) 0.91 (E) 0.93 Select ↑ Part (a) choices. (A) 4.15 (B) 4.11 (C) 4.17 (D) 4.09 (E) 4.13 Select Part (b) choices. An insurance portfolio is composed of 30% of good risks, 50% of average risks and 20% of bad risks. The claims distribution is a Gamma type, with the following parameters: Risk Type a 2 4 Good 2 Average 9 2 Bad 17 1 The claim record of a randomly selected risk is 3 and 5 in the first two years. (a) Calculate the Bühlmann credibility factor after two years. (b) Calculate the credibility premium for this risk in the third year using the Bühlmann model. (A) 0.97 (B) 0.95 (C) 0.89 (D) 0.91 (E) 0.93 Select ↑ Part (a) choices. (A) 4.15 (B) 4.11 (C) 4.17 (D) 4.09 (E) 4.13 Select Part (b) choices.

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