Actuarial Notes

Exam 9 Practice Question 4

Study guide: Exam 9

In a one-period model with no expenses, taxes or investment income, a portfolio has expected loss L, premium P and margin M = P - L, and is supported by assets a funded by premium and investor capital Q = a - P.

Determine which of the following statements about the insurance margin are true.

  • I. Holding expected loss and assets fixed, a higher required return on capital raises the margin and reduces the capital investors contribute.

  • II. The margin as a percentage of premium equals one minus the loss ratio.

  • III. Two portfolios with the same margin as a percentage of premium earn the same return on capital.

  • A) I only

  • B) I and II only

  • C) I and III only

  • D) II and III only

  • E) The answer is not given by (A), (B), (C), or (D)

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