Actuarial Notes

CAS Exam 5 Spring 2019, Question 23

Study guide: Exam 5

Given the following as of December 31, 2018:

Accident Year Per Occurrence Retention Stop-Loss Limit
2015 $1,000,000 **
2016 $1,000,000 **
2017 $1,500,000 $5,000,000
2018 $2,000,000 $7,000,000

**2015 and 2016 have a combined stop-loss limit of $10,000,000 that applies to all claims occurring in both years.

Summary of Claims Under Per Occurrence Retention:

Accident Year Reported Claims Percent Reported
2015 2,000,000 70%
2016 1,500,000 35%
2017 800,000 20%
2018 450,000 10%

Large Claims (not included in the claims table above):

Claim Accident Year Reported Claim
A 2015 1,200,000
B 2015 1,500,000
C 2016 3,000,000
D 2017 1,750,000
  • There will be no further development on large claims.

Calculate the estimated retained IBNR for all accident years using the reported development technique.

Part a (1.5 points)

Answer this question and see the worked solution

Concepts tested

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