Actuarial Notes

CAS Exam 5 Spring 2019, Question 22

Study guide: Exam 5

Given the following:

Average Case Outstanding ($) on Large Claims as of (months):

Accident Year 12 24 36 48
2015 650 700 720 850
2016 670 700 900
2017 750 1,000
2018 1,200

Average Case Outstanding ($) on Small Claims as of (months):

Accident Year 12 24 36 48
2015 75 310 75 50
2016 80 400 65
2017 110 190
2018 90

Open Large Claim Counts as of (months):

Accident Year 12 24 36 48
2015 14 16 18 22
2016 15 18 20
2017 11 13
2018 10

Open Small Claim Counts as of (months):

Accident Year 12 24 36 48
2015 150 115 100 80
2016 155 130 120
2017 145 120
2018 150

Cumulative Paid Claims ($) on Large Claims as of (months):

Accident Year 12 24 36 48
2015 520,000 802,000 1,021,000 1,140,000
2016 510,000 789,000 1,008,000
2017 540,000 829,000
2018 525,000

Cumulative Paid Claims ($) on Small Claims as of (months):

Accident Year 12 24 36 48
2015 25,000 55,000 174,000 268,000
2016 23,000 37,000 170,000
2017 20,000 67,000
2018 22,000
5% Annual severity trend

Cumulative Unadjusted Reported Claim Development Factors:

Age 12-to-Ult 24-to-Ult 36-to-Ult 48-to-Ult
Large Claims 2.638 1.715 1.345 1.200
Small Claims 9.007 3.597 1.798 1.200
  • Large claims are defined as greater than or equal to $500,000 in reported claims and small claims are defined as less than $500,000 in reported claims.
  • In 2018, the company hired additional claims handling personnel to increase the case reserve adequacy on large claims.
  • Case reserves for small claims are not impacted by the change in claims handling personnel.
  • There have been no changes to settlement rates.

Calculate the estimated ultimate claims for accident year 2018 using the reported development technique adjusting for the change in case reserve adequacy.

Part a (2.5 points)

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