Actuarial Notes

CAS Exam 5 Fall 2013, Question 8

Study guide: Exam 5

Given the following information:

Calendar/Accident Year Earned Exposures Non-Catastrophe Number of Claims Non-Catastrophe Reported Losses and ALAE ($000s) Reported Loss and ALAE Development Factor Loss Trend Factor
2010 20,725 350 $11,446 1.000 1.145
2011 21,220 310 $12,757 1.006 1.121
2012 23,015 320 $11,295 1.068 1.080
  • ULAE = 2% of loss and ALAE.
  • Regional non-catastrophe pure premium (including LAE) = $602.
  • Non-modeled catastrophe pure premium (including LAE) = $30.
  • Modeled catastrophe pure premium (including LAE) = $75.
  • Projected net reinsurance cost per exposure = $22.
  • Projected fixed expense per exposure = $35.
  • Profit and contingency provision = 5.0%.
  • Variable expense provision = 16.0%.
  • Projected on-level average premium = $945.
  • Claims required for full credibility for all three years combined = 1,082.
  • The insurer uses the square root rule to determine partial credibility.

Calculate the credibility-weighted indicated rate change.

Part a (2 points)

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Concepts tested

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