Actuarial Notes

CAS Exam 7 Spring 2014, Question 12

Study guide: Exam 7

A single retrospectively rated policy has the following adjustments:

Adjustment Incremental Losses Incremental Premium
1 $100,000 $150,000
2 50,000 25,000
3 15,000 0
4 20,000 5,000
5 5,000 -1,250

Part a (0.5 points)

Discuss why incremental premium can be greater than incremental losses at the first adjustment.

Part b (0.5 points)

Explain how a positive fourth adjustment to the incremental premium could follow a third adjustment of $0.

Part c (0.75 points)

Explain how the observed premium development to loss development (PDLD) ratio could become negative for the fifth adjustment.

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Concepts tested

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