Actuarial Notes

CAS Exam 5 Fall 2017, Question 25

Study guide: Exam 5

The following information is available for an insurer as of December 31, 2016:

Accident Year Cumulative Gross Reported Claims ($000) as of 12 months 24 36 48
2013 2,757 5,570 6,880 7,047
2014 2,345 4,104 5,121
2015 2,639 4,677
2016 2,802
Accident Year Cumulative Reported Claims ($000) Ceded to Excess of Loss Treaty as of 12 months 24 36 48
2013 0 745 1,332 1,332
2014 0 0 402
2015 154 328
2016 0
Accident Year Cumulative Paid Claims ($000) Net of Excess of Loss Treaty
2013 5,102
2014 3,834
2015 2,840
2016 1,385
  • There is no reported claims development beyond 48 months.
  • For each of accident years 2013 through 2015, the insurer maintained a stop loss reinsurance limit that applies after an excess of loss treaty.
  • The stop loss limits are:
Accident Year Stop Loss Limit ($000)
2013 5,000
2014 5,000
2015 5,000
2016 None

Calculate the unpaid claims net of all reinsurance for all accident years using the reported claims development technique.

Part a (2 points)

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Concepts tested

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