Actuarial Notes

CAS Exam 6C Fall 2019, Question 18

Study guide: Exam 6C

The following information is available for a federally regulated property and casualty insurance company. All amounts are in thousands of dollars ($000s).

20.10 – Assets 2018 2017
Recoverable from reinsurers – Unearned premiums 6,000 5,800
Recoverable from reinsurers – Unpaid claims and adjustment expenses 16,500 16,000
Deferred policy acquisition expenses 9,000 8,700
Receivable from agents and brokers, policyholders and instalment premiums 40,000 35,000
20.20 – Liabilities and Equity 2018 2017
Unearned premiums 60,000 58,000
Unpaid claims and adjustment expenses 184,500 179,000
Unearned commissions 1,250 1,100
Premium deficiency 0 0

Net cumulative paid:

Accident Year 12 24 36
2016 24,000 58,000 75,000
2017 26,000 65,000
2018 30,000

Net actuarial present value ultimate:

Accident Year 12 24 36
2016 172,000 170,000 175,000
2017 189,000 195,000
2018 198,000

Other information:

  • Assume that the net investment income from insurance operations is less than the net investment income plus share of net income (loss) of pooled funds using the equity method.
  • The net investment income from insurance operations is 5,200.

Calculate the cumulative discounted excess/(deficiency) ratio for accident year 2017 as at December 31, 2018.

Part a (2.25 points)

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Concepts tested

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