Actuarial Notes

CAS Exam 6C Spring 2014, Question 17

Study guide: Exam 6C

The following is a partially completed Unpaid Claims and Loss Ratio Analysis Exhibit for an insurance company. All amounts are in thousands of dollars ($000s).

Accident Year (01) Paid Loss Cumulative (03) Total Undiscounted Unpaid Claims and Adjustment Expense (06) Present Value of Unpaid Claims and Adjustment Expenses – Total (07) PFAD Claims (08) PFAD Reinsurance (10) PFAD Interest Rate (11)
2011 1,800 600 591 44 0 2
2012 1,200 1,500 1,460 110 0 10
Accident Year (01) Discounted Reserves including PFAD (12) Earned Premium (13) Investment Income from UPR (14) Cumulative Investment Income from Unpaid Claim Reserve (15) Loss Ratio Undiscounted (16) Loss Ratio Discounted (17)
2011 637 4,500 12 13 ?? ??
2012 1,580 5,000 14 ?? ?? ??

Additional information is also available:

  • Investment Yield for 2012 = 4%
  • Future income tax rate = 35%
  • Net claims liabilities amount carried in the balance sheet = 2,500
  • There are no reserves related to accident years prior to 2011

Part a (1.75 points)

Calculate the Undiscounted and Discounted Loss Ratio (columns 16 and 17) for accident years 2011 and 2012.

Part b (1.5 points)

Calculate the estimated effect of discounting the asset for future income taxes.

No current syllabus covers this question; it is kept for the record.

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