Actuarial Notes

CAS Exam 8 Fall 2017, Question 7

Study guide: Exam 8

Given the following information:

  • Allocated loss adjustment expense is 15% of the indemnity amount.
  • The variance method has been selected to include a risk load in the Increased Limits Factors (ILFs) with k = 0.000064 and \delta = 0.
Limit, l E[X;l] E[X^2:l]
1,000 840 790,123
5,000 2,485 9,467,456

Part a (1 point)

Calculate the following:

  • The risk loads for each limit.
  • The ILF with and without risk load for the 5,000 limit.

Part b (0.75 points)

Assuming portfolio weights of 75% for a 1,000 limit and 25% for a 5,000 limit, determine the overall impact on premium by using the ILFs with the risk loads instead of the ILFs without risk loads.

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Concepts tested

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