Actuarial Notes

CAS Exam 5 Fall 2017, Question 1

Study guide: Exam 5

Given the following information:

Calendar Year Average Earned Premium at Current Rate Level Average Written Premium at Current Rate Level
2014 $210 $212
2015 $220 $224
2016 $235 $240
  • The projected annual premium trend = -2%.
  • Fourth quarter 2016 average earned premium at current rate level = $236.
  • Fourth quarter 2016 average written premium at current rate level = $242.
  • The company uses a calendar-accident year aggregation of data for indications.
  • All policies are annual.
  • Rates are in effect for one year.
  • The rate revision is planned to be effective January 1, 2018.

Part a (1 point)

Calculate the premium trend factor for each year using two-step trending.

Part b (0.5 points)

Identify two scenarios that could lead to a negative premium trend when analyzing average premium at current rate level.

Answer this question and see the worked solution

Concepts tested

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