Actuarial Notes

SOA Exam FAM Sample Question 1

Study guide: Exam FAM

You are given:

(i) The number of claims has a Poisson distribution.

(ii) Claim sizes have a Pareto distribution with parameters \theta = 0.5 and \alpha = 6

(iii) The number of claims and claim sizes are independent.

(iv) The observed average total payment should be within 2% of the expected average total payment 90% of the time.

Calculate the expected number of claims needed for full credibility.

  • A) Less than 7,000
  • B) At least 7,000, but less than 10,000
  • C) At least 10,000, but less than 13,000
  • D) At least 13,000, but less than 16,000
  • E) At least 16,000

Answer this question and see the worked solution

Concepts tested

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