Actuarial Notes

CAS Exam 5 Fall 2019, Question 8

Study guide: Exam 5

An insurer's retention model predicts the following:

% Change in Premium Retention Ratio — First Renewal Retention Ratio — Second Renewal
0% 85% 0%
5% 75% 0%

The following information is known:

Value Item
0.00% Discount rate
$0 Fixed expenses
$0 Implementation costs
$1,000 Premium per policy
$800 Loss & LAE per policy
  • Senior management will consider only the following at renewal:
    • i. No rate change
    • ii. +5% rate change

Part a (1.25 points)

Select the rate change that will maximize the insurer's profit.

Part b (0.5 points)

Briefly evaluate the selected rate change with respect to the Statement of Principles Regarding Property Casualty Insurance Ratemaking, citing one relevant principle.

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Concepts tested

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