Actuarial Notes

CAS Exam 6C Fall 2016, Question 18

Study guide: Exam 6C

The following information is available as of December 31, 2015 for a property and casualty insurance company. All amounts are in thousands of dollars ($000s).

Item 2014 2015
Direct Written Premiums 200,000 300,000
Assumed Written Premiums 0 0
Ceded Written Premiums – Not Intra Pool 6,500 10,000
Total capital (margin) required excluding operational risk and diversification credit 125,000 175,000

You are also given the following information:

Risk factor Value
Risk factor for Direct premiums written in the past 12 months 2.50%
Risk factor for Reinsurance assumed in the past 12 months - Not Intra Pool 1.75%
Risk factor for Reinsurance assumed in the past 12 months - Intra Pool 0.75%
Risk factor for Reinsurance ceded in the past 12 months - Not Intra Pool 2.50%
Risk factor for Reinsurance ceded in the past 12 months – Intra Pool 0.75%
Risk factor for Premium growth above 20% threshold 2.50%
Risk factor for Capital/margin required component 8.50%

Part a (0.5 points)

Define operational risk.

Part b (2 points)

Calculate the operational risk margin.

Part c (0.5 points)

Explain the purpose of the diversification credit.

Answer this question and see the worked solution

Concepts tested

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