Actuarial Notes

CAS Exam 6C Spring 2017, Question 15

Study guide: Exam 6C

The following information is available for a property and casualty insurance company as at December 31, 2016. The company writes only one line of business. All amounts in the tables below are in thousands of dollars ($000s).

Gross Net
Unearned Premium Booked 3,000 2,700
Expected Reinsurance Costs 500
Undiscounted Loss, ALAE and ULAE Ratio 60% 70%
Discount Factor 0.98 0.96
PfAD for Investment Return Rates 30
MfAD for Claims Development 6%
MfAD for Reinsurance 3%
Item Value
Maintenance Expenses (% of gross premium) 2.5%
DPAE from Accounting Department 700
Unearned (Reinsurance) Commissions 250

Part a (2 points)

Calculate the maximum deferred policy acquisition expenses that the company can record on its financial statements.

Part b (0.5 points)

Explain whether or not a premium deficiency exists.

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