Actuarial Notes

CAS Exam 6C Spring 2019, Question 18

Study guide: Exam 6C

The following information is available for a federally-regulated property and casualty insurance company as at December 31, 2018. All amounts are in thousands of dollars ($000s).

Item Value
Probable Maximum Loss (PML) 500, East Canada 90,000
PML 500, West Canada 350,000
PML 250, East Canada 25,000
PML 250, West Canada 130,000
Common shares issued and paid 60,000
Retained earnings 155,000
Accumulated other comprehensive income 45,000
Earthquake premium reserve 10,000
Nuclear and contingency reserves 0

The company has the following reinsurance coverage for any earthquake occurrence:

Layer Ceded to Reinsurers
75,000 xs 25,000 90%
100,000 xs 100,000 100%
50,000 xs 200,000 50%

The insurance company is progressively phasing in from a 420-year return period in 2014 to a 500-year return period in 2022.

Part a (2.25 points)

Calculate the insurance company's margin required for catastrophes at target as at December 31, 2018.

Part b (1 point)

Fully explain the impact on the MCT components of a decrease in the earthquake reserves.

Part c (0.5 points)

Explain how personal property earthquake exposures impact the surplus used in A.M. Best's BCAR score.

Part d (1 point)

Briefly describe four qualitative earthquake risk management practices that would improve the A.M. Best rating with respect to the catastrophe analysis.

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