Actuarial Notes

CAS Exam 7 Spring 2018, Question 16

Study guide: Exam 7

Given the following information:

Accident Year Rate-Level Adjusted Premium ($000) Aggregate Reported Loss at Dec. 31, 2016 ($000) Aggregate Loss Report Lag at Dec. 31, 2016 Aggregate Reported Loss at Jun. 30, 2017 ($000) Aggregate Loss Report Lag at Jun. 30, 2017
2014 6,000 3,000 0.70 3,500 0.75
2015 7,000 2,000 0.50 2,200 0.55
2016 10,000 4,000 0.30 4,800 0.35
Total 23,000 9,000 N/A 10,500 N/A
  • The selected credibility factor is 0.50.

Part a (2.5 points)

Test the total expected claims emergence from December 31, 2016 to June 30, 2017 against the total actual claims emergence using a credibility-weighted combination of the Stanard-Bühlmann and chain ladder methods.

Part b (0.5 points)

Provide two reasons which would explain the difference calculated in part a. above.

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Concepts tested

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