Actuarial Notes

CAS Exam 6C Spring 2017, Question 13

Study guide: Exam 6C

The following information is available from the December 31, 2016 P&C-1 of a property and casualty insurance company. All amounts are in thousands of dollars ($000s).

Balance Sheet

Current Year Prior Year
Cash 5,000 4,000
Bonds and Debentures 40,000 45,000
Common Shares 2,600 2,000
Real Estate 12,000 14,000
Agents and Brokers Receivables 500 750
Unearned Premiums Recoverable 10,000 12,000
Unpaid Claims and Adjustment Expenses Recoverable ? ?
Total Assets 105,000 101,000
Gross Unpaid Claims and Adjustment Expenses 40,000 38,000
Equity 30,000 28,000

Income Statement

Current Year Prior Year
Net Premiums Written 44,000 47,000
Decrease (Increase) in Net Unearned Premiums 1,200 1,000
Net Claims and Adjustment Expenses 35,000 32,000
Total Acquisition Expenses 5,000 5,000
General Expenses 3,000 3,200
Investment Income 6,000 4,000
Realized Gains (Losses) (1,000) 500
Investment Expenses 500 400
Income Taxes – Total 2,500 2,800

Net Leverage Ratio at the end of the current year = 260%

All of the company's reinsurance is placed with an unregistered reinsurer without collateral.

Part a (1.75 points)

Calculate each of the following ratios as at December 31, 2016.

  • i. Investment Yield
  • ii. Return on Equity
  • iii. Return on Assets
  • iv. Net Underwriting Leverage Ratio

Part b (1 point)

Based on the ratios calculated in part a. above, assess whether the company is in good financial health.

Part c (0.5 points)

Calculate the unpaid claims and adjustment expenses recoverable at the end of the current year.

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Concepts tested

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