Question

In: Finance

a) If an insurer had a combined ratio of 1.00 and their expenses were .30 what are the losses?

a) If an insurer had a combined ratio of 1.00 and their expenses were .30 what are the losses?

b) If an insurer had a combined ratio of .90 would they want to increase premiums, lower premiums or keep them the same? Explain why. Is this insurer in healthy financial shape or do they have work to do?

c) If an insurer had a combined ratio of 1.10 and their losses were .75 what are their expenses?

d) If an insurer had a combined ratio of 1.05 but wanted to get it lower and not raise premiums would cutting expenses help? Yes or no and explain why.


Solutions

Expert Solution

ANSWER -

a) Combined ratio = (Claim related losses + Business expenses) / Premiums earned

Combined ratio = 1.00, expenses = 0.30.
= 100- 0.30
= 0.70
Losses are = 0.70
b) As the combined ratio represents outflows for an insurer, a ratio less than 1 implies profitability from underwriting. Given a combined ratio of 0.90, the insurer is in healthy financial shape and does not need to increase premiums. Since the ratio is close to 1, they would not want to lower premiums either. Hence, premiums would be kept the same
c) Combined ratio = 1.10, losses = 0.75

=  1.10 - 0.75
= 0.35
Losses are = 0.35

d)Increase the denominator or decreasing the numerator of a ratio would reduce the overall ratio. Since the insurer does not want to raise premiums (denominator), it can lower the combined ratio by reducing either expenses or / and losses (numerator).


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