Actuarial Notes

CAS Exam 5 Spring 2017, Question 15

Study guide: Exam 5

Given the following information as of December 31, 2016:

Cumulative Paid Claims ($000) as of (months)

Accident Year 12 24 36
2014 1,150 2,250 3,000
2015 1,250 2,400
2016 1,550

Cumulative Reported Claims ($000) as of (months)

Accident Year 12 24 36
2014 5,150 7,200 8,000
2015 4,800 6,700
2016 4,750

Cumulative Reported Claim Counts as of (months)

Accident Year 12 24 36
2014 102 107 108
2015 96 101
2016 99

Open Claim Counts as of (months)

Accident Year 12 24 36
2014 52 28 12
2015 46 25
2016 42
  • Reported claim counts exclude claims closed without payment.
  • Historical claim cost inflation is 0%.

Part a (0.75 points)

Calculate the paid to reported claim ratio triangle and briefly describe what it suggests about changes in:

i. Settlement rates ii. Case reserve adequacy

Part b (1.5 points)

Calculate the closed to reported claim count ratio triangle and the average case outstanding triangle and briefly describe what the triangles suggest about changes in:

i. Settlement rates ii. Case reserve adequacy

Answer this question and see the worked solution

Concepts tested

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