Actuarial Notes

CAS Exam 6C Spring 2015, Question 25

Study guide: Exam 6C

The following is a partially completed Unpaid Claims and Loss Ratio Analysis Exhibit for a property and casualty insurance company as at December 31, 2014:

Accident Year (1) Paid Loss Cumulative (3) Total Undiscounted Unpaid Claims and Adjustment Expense (6) Present Value of Unpaid Claims and Adjustment Expenses - Total (7) PfAD Claims (8) PfAD Reinsurance (10) PfAD Interest Rate (11)
2013 $345,000 $155,000 $152,470 $12,198 0 $623
2014 $170,000 $405,000 $396,539 $31,723 0 $2,075
Accident Year (1) Discounted Reserves including PfAD (12) Earned Premiums (13) Investment Income from UPR (14) Cum. Investment Income from Unpaid Claim Reserves (15) Loss Ratio Undiscounted (16) Loss Ratio Discounted (17)
2013 $165,290 $760,000 $11,400 A C E
2014 $430,337 $850,000 $12,750 B D F

Additional information is also available:

  • Assume there is no reinsurance.
  • Investment yield for 2013 and 2014: 3%.
  • Accident year 2013 reserves discounted with Provision for Adverse Deviation (PfAD) as at December 31, 2013 were equal to $371,896.

Determine each of the following amounts: A, B, C, D, E and F.

Part a (2 points)

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Concepts tested

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