Actuarial Notes

CAS Exam 9 Spring 2013, Question 15

Study guide: Exam 9

Management is evaluating two potential new lines of business to pursue next year and has developed the following metrics:

Line A Line B
Expected premium $9.7 million $8.3 million
Required capital $9.5 million $4.5 million
Expense ratio 8.00% 6.30%
Discounted loss ratio 78.30% 87.00%

For both lines:

  • Investment return is 6.5%.
  • Expenses are paid immediately.
  • Capital is released at the end of the year.
  • Losses are paid at the end of the year.
  • Target risk-adjusted rate of return on capital is 18%.

Propose which line(s), if any, to pursue and discuss how the recommendation will be impacted by available capital.

Part a (2 points)

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Concepts tested

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