Actuarial Notes

CAS Exam 5 Fall 2019, Question 25

Study guide: Exam 5

Given the following information for a company:

Value Item
5.00 12-Ultimate Gross Paid Claims Development Factor
3.30 24-Ultimate Gross Paid Claims Development Factor
12,000,000 Accident Year 2018 Paid Gross Claims @ 12 Months
Incremental Gross Industry Payment Pattern for 12 to 24 Months, by Quarter 12-15 15-18 18-21 21-24
Percent Paid 50% 35% 10% 5%
Value Item
1,450,000 Accident Year 2018 Actual Net Paid Claims for 15-18 Months
  • The company maintains a quota share reinsurance agreement where they cede 30% of the business.
  • Ultimate losses are estimated using the paid development technique.

Part a (1.25 points)

Calculate the accident year 2018 expected net paid claims for the period 15 to 18 months, based on the following:

i) claims emerge uniformly between evaluation points.

ii) the industry payment pattern.

Part b (0.5 points)

Recommend whether to change the net estimated unpaid based on the actual results for accident year 2018 in the 15-to-18 month period.

Answer this question and see the worked solution

Concepts tested

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