Actuarial Notes

CAS Exam 7 Spring 2015, Question 12

Study guide: Exam 7

Given the following ground-up information for insurance claims subject to a single excess-of-loss reinsurance treaty as of December 31, 2014:

Claim Number Occurrence Number Date of Loss Reported ALAE Reported Loss Total Reported Loss and ALAE
1 1 Feb 29, 2013 (as printed) $12,000 $80,000 $92,000
2 2 May 28, 2013 18,000 145,000 163,000
3 3 Sep 5, 2013 8,000 70,000 78,000
4 3 Sep 5, 2013 3,250 30,000 33,250
5 4 Jan 24, 2014 9,000 90,000 99,000
6 5 Mar 7, 2014 20,000 225,000 245,000
7 6 Oct 18, 2014 3,750 55,000 58,750
Accident Year Historical Per-Occurrence Retention
Jan 1, 2013 – Dec 31, 2013 $150,000
Jan 1, 2014 – Dec 31, 2014 200,000
  • The historical pre-occurrence (as printed) retentions apply to combined loss and ALAE.
  • The reinsurance treaty stipulates that the reinsurer must be notified of any occurrences whose reported loss and ALAE reaches 50% of the retention.

Demonstrate how the data above indicates the presence of two aspects of reinsurance loss reserving that make it somewhat more difficult than primary loss reserving.

Part a (1 point)

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Concepts tested

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