Actuarial Notes

CAS Exam 9 Spring 2015, Question 26

Study guide: Exam 9

A reinsurer is pricing a high excess layer with the following attributes:

  • The mean loss, \mu_L, for the treaty is $0.
  • The target investment return is 12%.
  • The cost per dollar of investment protected for a put option is 2%.
  • The risk-free rate is 3%.
  • The mean of the investment return is 10%.
  • The safety level is equal to the limit of the treaty.

Part a (1.5 points)

Calculate the Rate On Line (ROL) the reinsurer would charge.

Part b (0.75 points)

State whether the swap technique or put option technique usually produces a smaller Rate On Line. Describe why.

Part c (0.25 points)

State an underwriter's justification for a minimum rate on line.

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