Actuarial Notes

CAS Exam 9 Spring 2018, Question 14

Study guide: Exam 9

An insurer is planning to write a line of business. It plans on releasing capital as the losses are paid at the end of each year, according to the following schedule:

Year % Paid
1 20%
2 50%
3 30%

Given the following:

  • Premiums are $25 million.
  • Expense ratio is 15%.
  • Expected Losses are $21 million.
  • Initial Capital is $6.5 million.
  • Investment yield is 4%.
  • Single-year target RAROC is 16%.

Part a (1 point)

Calculate the multi-year adjusted target RAROC.

Part b (1 point)

Using a risk-adjusted return approach, determine if the insurer should write the line of business.

Part c (0.5 points)

Briefly describe two approaches for handling different exposure horizons in risk capital models.

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