Actuarial Notes

SOA Exam FAM Sample Question 35

Study guide: Exam FAM

The number of annual losses has a Poisson distribution with a mean of 5. The size of each loss has a Pareto distribution with \theta = 10 and \alpha = 2.5. An insurance policy for the losses has an ordinary deductible of 5 per loss.

Calculate the expected value of the aggregate annual payments for this policy.

  • A) 8
  • B) 13
  • C) 18
  • D) 23
  • E) 28

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