Actuarial Notes

Exam 9 Practice Question 8

Study guide: Exam 9

An insurer sets the underwriting profit target for the insurance policies of one line on a risk-adjusted basis, using the insurance CAPM from Cummins's Allocation of Capital in the Insurance Industry, as corrected by the CAS Exam 9 Working Group's January 2026 note. For this line:

  • Liabilities to equity: k_i = 0.75
  • Premium to equity: s_i = 0.50
  • Underwriting beta: \beta_i = 0.20
  • Risk-free rate: r_F = 4\%
  • Market risk premium: r_M - r_F = 6\%

Calculate the line's required underwriting return (underwriting profit as a percentage of premium).

  • A) -4.8\%
  • B) -1.8\%
  • C) -1.5\%
  • D) +1.2\%
  • E) +7.2\%

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