Actuarial Notes

CAS Exam 5 Fall 2013, Question 14

Study guide: Exam 5

Given the following information:

Claim ID Accident Date Report Date CY 2010 CY 2011 CY 2012
1 June 15, 2010 July 1, 2010 $100 $400 $0
2 December 15, 2010 January 15, 2011 $0 $300 $150
3 April 1, 2011 May 1, 2011 $200 $200
4 November 15, 2011 January 1, 2012 $0 $500
5 April 1, 2012 May 1, 2012 $200

(Incremental payments by calendar year)

Part a (0.5 points)

Construct an annual incremental accident year paid loss triangle as of December 31, 2012.

Part b (0.5 points)

Construct an annual cumulative report year paid loss triangle as of December 31, 2012.

Part c (0.5 points)

Assess whether an accident year approach or a report year approach is more appropriate for reserving auto liability insurance.

Part d (0.5 points)

Assess whether annual or quarterly triangles are more appropriate for a small company selling a long-tailed line of business.

Answer this question and see the worked solution

Concepts tested

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