Actuarial Notes

Exam 9 Practice Question 6

Study guide: Exam 9

A book of business has premium of 100, expected loss of 94 and allocated capital of 50, in a one-period model with no expenses, taxes or investment income. Management's target return on capital is 15%. Premium and expected loss cannot change.

Using the decomposition of return into margin ratio and leverage, calculate the premium-to-capital leverage the book would need to earn the target return.

  • A) 0.40
  • B) 0.71
  • C) 2.00
  • D) 2.35
  • E) 2.50

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