Actuarial Notes

CAS Exam 7 Spring 2016, Question 16

Study guide: Exam 7

Given the following reinsurance company data ($000) as of December 31, 2015:

Calendar-Accident Year Earned Risk Pure Premium Adjusted Premium Aggregate Reported Loss Reported Loss Development Factor to Ultimate
2012 20,500 21,000 9,000 1.250
2013 21,500 27,000 6,000 2.500
2014 22,800 25,000 4,000 5.000
2015 24,000 24,000 3,250 8.000
Total 88,800 97,000 22,250 n/a
  • The selected credibility factor is 0.80.

Part a (1 point)

Use the Stanard-Bühlmann method to estimate the IBNR for all years combined.

Part b (0.75 points)

Use the credibility weighting of the Stanard-Bühlmann and chain ladder methods as presented by Patrik to estimate the IBNR for accident year 2014.

Answer this question and see the worked solution

Concepts tested

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