Actuarial Notes

CAS Exam 5 Fall 2017, Question 26

Study guide: Exam 5

Given the following information:

Accident Year Cumulative Paid Claims ($000) as of 12 months 24 36 48
2013 750 1,125 1,350 1,485
2014 2,000 3,000 3,600
2015 2,500 3,750
2016 3,000
Accident Year Calendar Year Paid ULAE ($000)
2013 220
2014 220
2015 330
  • Case reserves at December 31, 2016 = $3,500,000.
  • IBNR reserves at December 31, 2016 = $1,000,000.
  • The four-year weighted average ULAE to loss ratio = 10%.
  • No business was written prior to 2013.

Part a (0.5 points)

Estimate the unpaid ULAE using the classical technique.

Part b (1 point)

Calculate the paid ULAE to paid claims ratio for calendar year 2016.

Part c (0.5 points)

Assess the reasonableness of the unpaid ULAE estimate from part a. above.

Answer this question and see the worked solution

Concepts tested

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