Actuarial Notes

CAS Exam 5 Fall 2015, Question 1

Study guide: Exam 5

Given the following information:

Effective Date Number of Autos Written on Effective Date
February 1, 2013 1,100
August 1, 2013 800
February 1, 2014 600
August 1, 2014 300
  • All policies have six-month terms.
  • The exposure base is earned car years.
  • The premium per auto is $500 per six-month term for policies effective through August 31, 2014.
  • A uniform rate change of -18% became effective September 1, 2014.

Part a (0.75 points)

Calculate the written and earned exposures for calendar year 2014.

Part b (2 points)

Calculate the earned premium at current rate level for calendar year 2014 using both the parallelogram method and extension of exposures method, and discuss which method is more appropriate for this situation.

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Concepts tested

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