ABy Admin
Jul 25'24

Exercise

You are given the following information:

  • Fixed underwriting expenses are negligible.
  • Variable expenses are stable and equal 10% of premium.
  • Projected pure premium, including LAE, for the forecast period equals $1,500.

If the indicated rate per exposure unit equals $2,000, determine the target profit percentage.

  • 10%
  • 15%
  • 20%
  • 25%
  • 30%
ABy Admin
Jul 25'24

According to the pure premium method, the indicated rate per exposure unit equals

[[math]] \overline{P_I} = \frac{\overline{L + E_L} + \overline{E_F}}{1 - V - Q_T} = \frac{1500}{0.9 - Q_T}. [[/math]]

Since the indicated rate per exposure unit equals $2,000, then the formula above implies that the target profit percentage must equal 15%.

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