Actuarial Notes

CAS Exam 5 Spring 2013, Question 5

Study guide: Exam 5

A company is reviewing the rate level adequacy. Given the following information for a book of business:

  • All policies are annual.
  • Current rates have been in effect for three years.
  • New rates will be in effect for 18 months beginning on July 1, 2013.
  • Annual premium trend = -1%.
  • Annual loss trend = +3%.
  • Loss adjustment expense provision = 2.5% of loss.
  • Historical expense ratios:
    • Fixed = 6%.
    • Variable = 30%.
  • Underwriting profit and contingencies provision = 5%.
  • Ultimate losses are estimated using the reported development technique.
  • On January 1, 2014, the company will reduce agency commissions by 3% of premium.
Calendar Year Ending Earned Premium ($000s)
December 31, 2011 $2,163
December 31, 2012 $2,120

Reported Losses ($000s):

Accident Year 12 months 24 months 36 months 48 months 60 months
2008 $780 $928 $1,030 $1,083 $1,094
2009 $765 $921 $1,004 $1,053
2010 $760 $920 $1,012
2011 $805 $966
2012 $890

Calculate the indicated rate change.

Part a (4 points)

Answer this question and see the worked solution

Concepts tested

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