Actuarial Notes

CAS Exam 6C Spring 2015, Question 24

Study guide: Exam 6C

The following information is available from the December 31, 2014 P&C-1 of a property and casualty insurance company. All amounts are in thousands of dollars ($000s).

PREMIUMS AND CLAIMS (60.20) - Total all lines of business

Item Amount
Premiums written less return premiums - Direct 235,000
Premiums written less return premiums - Assumed 150,000
Premiums written less return premiums - Ceded 155,000
Net unearned premiums at beginning of year 105,000
Net unearned premiums at period end 115,000
Claims incurred including adjustment expenses - Direct 165,000
Claims incurred including adjustment expenses - Assumed 105,000
Claims incurred including adjustment expenses - Ceded 125,000

COMMISSIONS (80.10) - Total all lines of business

Item Amount
Total Gross Commissions (line 39) 65,000
Total Ceded Commissions (line 49) 35,000

STATEMENT OF INCOME (20.30)

Item Amount
Acquisition Expenses - Taxes (line 12) 7,000
Acquisition Expenses - Other (line 14) 8,500
General Expenses (line 16) 12,500
Investment Operations - Income (line 32) 14,000
Investment Operations - Realized Gains (Losses) (line 33) 4,500
Investment Operations - Expenses (line 34) 500
Other Revenues (line 44) 800
  • The income tax rate is 22.0%.
  • Assume there is no premium deficiency.

Calculate the following:

Part a (0.75 points)

Net loss ratio

Part b (0.5 points)

Net combined ratio

Part c (0.75 points)

Net income

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Concepts tested

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