Actuarial Notes

CAS Exam 5 Spring 2018, Question 21

Study guide: Exam 5

Given the following information:

Cumulative Paid Loss + ALAE ($) as of (months)

Accident Year 12 24 36 48
2013 150,000 450,000 550,000 620,000
2014 170,000 480,000 560,000 590,000
2015 160,000 470,000 510,000
2016 180,000 270,000
2017 90,000

Average Case Outstanding ($) as of (months)

Accident Year 12 24 36 48
2013 300 320 290 310
2014 320 310 350 200
2015 310 400 250
2016 450 190
2017 120

Open Claim Counts as of (months)

Accident Year 12 24 36 48
2013 193.6 210.4 142 44
2014 238 225 145 110
2015 222.7 207.3 192
2016 259.6 263.7
2017 810

Cumulative Closed Claim Counts as of (months)

Accident Year 12 24 36 48
2013 1,006.4 1,139.6 1,258 1,406
2014 1,020 1,155 1,275 1,350
2015 1,026.8 1,162.7 1,208
2016 1,040.4 1,086.3
2017 540

Cumulative Reported Claim Counts as of (months)

Accident Year 12 24 36 48
2013 1,200 1,350 1,400 1,450
2014 1,258 1,380 1,420 1,460
2015 1,249.5 1,370 1,400
2016 1,300 1,350
2017 1,350
Accident Year Ultimate Claim Counts
2013 1,480
2014 1,500
2015 1,510
2016 1,530
2017 1,600

Berquist-Sherman Adjusted Cumulative Paid Claims ($)

Accident Year 12 24 36 48
2013 150,000 450,000 550,000 620,000
2014 170,000 480,000 560,000 623,644
2015 160,000 470,000 557,892
2016 180,000 577,919
2017 162,049
12% Annual severity trend
1.2 Adjusted paid 48-Ultimate development factor
  • In 2016, the company undertook an effort to significantly increase the strength of their case reserves.
  • In 2017, the company experienced significant turnover in their claims department resulting in extreme distortions to case reserve and payment patterns.
  • As of the end of 2017 the staffing levels have returned to normal.

Calculate an appropriate estimate of the ultimate loss & ALAE for accident year 2017 using Berquist-Sherman adjustments with the calendar year 2016 diagonal as the basis for adjusting.

Part a (2.5 points)

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Concepts tested

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