Actuarial Notes

CAS Exam 5 Fall 2016, Question 24

Study guide: Exam 5

Given the following information as of December 31, 2014:

Paid Claims ($) as of (months):

Accident Year 12 24 36
2011 200 560 570
2012 150 250 400
2013 150 350
2014 50

Received Salvage and Subrogation ($) as of (months):

Accident Year 12 24 36
2011 20 90 100
2012 16 40 70
2013 15 56
2014 5
  • Ultimate claims for accident year 2014 = $150.
  • There is no development beyond 36 months.
  • A simple all-year average is used for all development factors.

Part a (0.75 points)

Estimate the ultimate salvage and subrogation for accident year 2014 using the development technique.

Part b (1.25 points)

Estimate the ultimate salvage and subrogation for accident year 2014 using a ratio approach.

Part c (0.5 points)

Given the following additional information for accident year 2015 as of December 31, 2015:

  • Ultimate claims = $175
  • Salvage and subrogation received = $12

Recommend and briefly justify an ultimate salvage and subrogation estimate for accident year 2015.

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Concepts tested

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