Actuarial Notes

CAS Exam 6C Spring 2016, Question 19

Study guide: Exam 6C

The following information is available from a property and casualty insurance company's December 31, 2015 P&C-1. All amounts are in thousands of dollars ($000s).

Income Statement Value 12 months (previous year) Income Statement Value 12 months (current year)
Direct premiums written in the past 12 months 389,000 406,000
Reinsurance assumed in the past 12 months - Not Intra Pool 0 0
Reinsurance assumed in the past 12 months - Intra Pool 215,000 225,000
Reinsurance ceded in the past 12 months - Not Intra Pool 19,000
Reinsurance ceded in the past 12 months - Intra Pool 214,000
Current Period
Insurance risk margin 64,000
Market risk margin 40,000
Credit risk margin 3,500

The following risk factors are used in the calculation of operational risk:

Risk Factor
Direct premiums written in the past 12 months 2.50%
Reinsurance assumed in the past 12 months - Not Intra Pool 1.75%
Reinsurance assumed in the past 12 months - Intra Pool 0.75%
Reinsurance ceded in the past 12 months - Not Intra Pool 2.50%
Reinsurance ceded in the past 12 months - Intra Pool 0.75%
Premium growth above 20% threshold 2.50%
Capital/margin required component (balance sheet value) 8.50%
Cap 30.00%

The correlation factor between the asset risk and the insurance risk is 50%.

Calculate the total capital (margin) required at the target level as at December 31, 2015.

Part a (2.5 points)

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Concepts tested

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