Actuarial Notes

CAS Exam MAS-II Fall 2018, Question 6

Study guide: Exam MAS-II

You are given the following information:

  • A block of insurance policies had 1,384 claims this period.
  • The claims had a mean loss of 55 and variance of loss of 6,010.
  • The mean frequency of these claims is 0.085 per policy.
  • The block has 21,000 policies.
  • Full credibility is based on a coverage probability of 98% for a range of within 5% deviation from the true mean.

You calculate the partial-credibility factor for severity, Z_X, and the partial-credibility factor for pure premium, Z_P, using the limited-fluctuation credibility method.

Calculate the absolute difference between Z_X and Z_P.

  • A) Less than 0.05
  • B) At least 0.05, but less than 0.15
  • C) At least 0.15, but less than 0.25
  • D) At least 0.25, but less than 0.35
  • E) At least 0.35

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