Actuarial Notes

CAS Exam 6C Spring 2018, Question 18

Study guide: Exam 6C

The following information is available for a property and casualty insurance company as at December 31, 2017. All amounts are in thousands of dollars ($000s).

Item Amount
Total Capital Available 59,400
Capital (Margin) Required at Target
Total Insurance Risk Margin 26,700
Total Market Risk Margin 52,800
Total Credit Risk Margin 2,000
Operational Risk Margin ?
Less: Diversification Credit ?
Total Capital (Margin) Required at Target ?
2016 2017
Direct Premiums Written 96,300 115,500
Assumed Premiums Written 11,000 20,400

The company cedes 30% of its direct written premium to a third party reinsurer. The company has no intra-group pooling arrangements.

Part a (1.5 points)

Calculate the operational risk margin at target.

Part b (0.75 points)

Calculate the diversification credit at target.

Part c (1 point)

Based on the answers from parts a. and b. above, calculate this company's MCT ratio and determine whether it meets two important thresholds for federally-regulated property and casualty insurance companies.

Part d (0.75 points)

Fully describe the actions that insurance companies are required to take when their MCT ratio falls below their internal target ratio.

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Concepts tested

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