Actuarial Notes

CAS Exam 7 Spring 2018, Question 2

Study guide: Exam 7

Given the following information for a workers compensation book written with a per-occurrence deductible of $500,000:

Fitted Limited Severity:

Limit 36 months Ultimate
Unlimited $5,000 $9,000
$500,000 $4,500 $6,600
36 months Ultimate
Observed Deductible Loss $1,000,000 -
Observed Excess Loss $275,000 -
Modeled Excess Age-to-Ultimate Factor 3.00 -
Insurance Charge Ratio 0.20 0.30
  • Expected claims volume = 1,000 claims.

Part a (2.25 points)

Assess the reasonability of the modeled excess IBNR compared to the loss ratio approach.

Part b (0.5 points)

Given the following:

Volume Weighted Claim Count Age-to-Age Development Factors as of (months):

12-24 24-36 36-48 48-60 60-72
1.50 1.25 1.15 1.05 1.00

Describe an issue with using limited severity data at 36 months.

Answer this question and see the worked solution

Concepts tested

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