Actuarial Notes

CAS Exam 6C Fall 2017, Question 15

Study guide: Exam 6C

The following information is available for the valuation of premium liabilities as at December 31, 2016. All amounts are in thousands of dollars ($000s).

Item Value
Net unearned premium booked 55,000
Gross unearned premium booked 60,000
Expected reinsurance costs 6,000
Net undiscounted loss ratio 98%
Expected ULAE 2,500
Discount rate 3%
MfAD for claims development 10%
MfAD for reinsurance ceded 1%
MfAD for investment return rates 0.5%
Gross present value of losses and ULAE 53,000
Maintenance expense as a % of gross premium 3%
Unearned reinsurance commissions 2,300

Cumulative accident year payment pattern:

Age (Months) % Paid
12 30%
24 100%

Calculate the premium deficiency, if any.

Part a (3.25 points)

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