Actuarial Notes

CAS Exam 8 Fall 2019, Question 3

Study guide: Exam 8

An insurance company has a private passenger auto book of business with an experience modification factor in its rating plan.

Given the following:

  • Annual claims for an individual driver follow a negative binomial distribution with r = 10.
  • The expected claim frequency for the entire book of business is 0.101.
  • The credibility for the group of risks that have had at least one accident in the last year is 0.02.

Part a (1.25 points)

Calculate the experience modification factor for a policy that has had at least one accident in the last year.

Part b (0.5 points)

Describe why a class with a higher volume of claims and more exposures may have less credibility than a class with fewer claims and exposures.

Answer this question and see the worked solution

Concepts tested

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