Actuarial Notes

CAS Exam 5 Spring 2018, Question 11

Study guide: Exam 5

Given the following information:

Risk True Expected Cost Company A Insured Risks Company A Charged Rate Company B Insured Risks Company B Charged Rate
High 170 5,000 160 5,000 150
Low 130 5,000 140 5,000 150
Total 150 10,000 150 10,000 150
  • There are no underwriting expenses or profit provisions.
  • Market consists of 10,000 high risk insureds and 10,000 low risk insureds.
  • Both companies write only one line of business.
  • 20% of all insureds shop at renewal and base their purchasing decision on price.

Part a (1 point)

Calculate the profitability for each company after one renewal cycle.

Part b (0.5 points)

Briefly describe two possible actions for the company experiencing adverse selection to reduce the risk of insolvency.

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Concepts tested

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