Actuarial Notes

CAS Exam 8 Fall 2015, Question 17

Study guide: Exam 8

An actuary prices a retrospectively rated policy based on the assumption that aggregate losses follow a uniform distribution between $0 and $1,000,000. The actuary determines that the following provisions result in a balanced plan:

Provision Value
Standard premium $700,000
Loss at minimum premium $80,000
Loss at maximum premium $750,000
Basic premium $83,660
Loss conversion factor 1.2

Assume there are no taxes.

Part a (1.5 points)

Calculate the implicit premium discount associated with the plan.

Part b (0.5 points)

Briefly describe how premium discount is treated in a retrospectively rated policy compared to a guaranteed cost policy.

Answer this question and see the worked solution

Concepts tested

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