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FRM Part I · FRM Exam Part I · Insurance Companies and Pension Plans

A property-casualty insurer earns premiums of 200 million, incurs claim losses of 130 million, and has underwriting expenses of 76 million. Ignoring dividends to policyholders, what is its combined ratio?

The combined ratio is 103%. The loss ratio is 130/200 = 65% and the expense ratio is 76/200 = 38%, and their sum is 103%. A figure above 100% means an underwriting loss before any investment income is considered.

  1. A103%Correct
  2. B65%
  3. C38%
  4. D141%

Explanation

Loss ratio = 130/200 = 65%. Expense ratio = 76/200 = 38%. Combined ratio = 65% + 38% = 103%, so the underwriting result is a loss before investment income. Using 65% alone ignores expenses; 141% wrongly adds expenses to 103%.

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